100 Best Math Books of All Time

We've researched and ranked the best math books in the world, based on recommendations from world experts, sales data, and millions of reader ratings. Learn more

Featuring recommendations from Mark Cuban, Malcolm Gladwell, Charles T. Munger, and 136 other experts.
1

Gödel, Escher, Bach

An Eternal Golden Braid

Douglas Hofstadter's book is concerned directly with the nature of “maps” or links between formal systems. However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gödel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more. less

Steve Jurvetson[Steve Jurvetson recommended this book on the podcast "The Tim Ferriss Show".] (Source)

Seth GodinIn the last week, I discovered that at least two of my smart friends hadn't read Godel, Escher, Bach. They have now. You should too. (Source)

Kevin KellyOver the years, I kept finding myself returning to its insights, and each time I would arrive at them at a deeper level. (Source)

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2
"I have discovered a truly marvelous proof, which this margin is too narrow to contain". With these tantalizing words the seventeenth-century French mathematician Pierre de Fermat threw down the gauntlet to future generations. What came to be known as Fermat's Last Theorem looked simple, yet the finest mathematical minds would be baffled for more than three and a half centuries.Fermat's Last Theorem became the Holy Grail of mathematics. Whole and colorful lives were devoted, and even sacrificed, to finding a solution. Leonhard Euler, the greatest mathematician of the 18th century, had to... more
Recommended by Sarah-Jayne Blakemore, Kirk Borne, and 2 others.

Sarah-Jayne BlakemoreThe book is great because Simon Singh has this ability to write about the driest and most complex scientific or mathematical concepts and issues, and somehow make them come alive. (Source)

Kirk BorneNew Perspective on Fermat's Last Theorem: https://t.co/YeaHQ6iadB by @granvilleDSC @DataScienceCtrl #abdsc #Mathematics See the best-selling book "Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem": https://t.co/dqenmvUw0A by @SLSingh https://t.co/deyMhQTQLU (Source)

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3
The Freakonomics of matha math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands

The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it.

Math allows us to see the hidden structures underneath the messy and...
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Bill GatesThe writing is funny, smooth, and accessible -- not what you might expect from a book about math. What Ellenberg has written is ultimately a love letter to math. If the stories he tells add up to a larger lesson, it’s that 'to do mathematics is to be, at once, touched by fire and bound by reason' -- and that there are ways in which we’re all doing math, all the time. (Source)

Auston BunsenI’ve got a few, one book that really impacted me early on as someone coming from a middle-class family was “Rich dad, Poor dad”. Since then I’ve read many books but one that really stands out is “How not to be wrong” by Jordan Ellenberg which really reignited my appetite & appreciation for math. (Source)

Nick GanjuWritten for an audience of people who have historically been intimidated by math [...] and introduces things in a very simple way, and then works up to more complex concepts. (Source)

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4
This masterpiece of science (and mathematical) fiction is a delightfully unique and highly entertaining satire that has charmed readers for more than 100 years. The work of English clergyman, educator and Shakespearean scholar Edwin A. Abbott (1838-1926), it describes the journeys of A. Square [sic – ed.], a mathematician and resident of the two-dimensional Flatland, where women-thin, straight lines-are the lowliest of shapes, and where men may have any number of sides, depending on their social status.
Through strange occurrences that bring him into contact with a host of...
more
Recommended by Bryan Johnson, and 1 others.

Bryan Johnson[Bryan Johnson recommended this book on Twitter.] (Source)

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5
The Babylonians invented it, the Greeks banned it, the Hindus worshipped it, and the Church used it to fend off heretics. For centuries, the power of zero savored of the demonic; once harnessed, it became the most important tool in mathematics. Zero follows this number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe and its apotheosis as the mystery of the black hole. Today, zero lies at the heart of one of the biggest scientific controversies of all time, the quest for the theory of everything. Elegant, witty, and enlightening, Zero... more
Recommended by Alex Bellos, Bryan Johnson, and 2 others.

Alex BellosUnlike Ifrah, Charles Seife is a brilliant popular science writer who has here written the ‘biography’ of zero. And even though he doesn’t talk that much about India, it works well as a handbook to Ifrah’s sections on India. Because Seife talks about how zero is mathematically very close to the idea of infinity, which is another mathematical idea that the Indians thought about differently. Seife... (Source)

Bryan JohnsonChronicles how hard it was for humanity to come up with and hold onto the concept of zero. No zero, no math. No zero, no engineering. No zero, no modern world as we know it... (Source)

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6

Math Curse

Did you ever wake up to one of those days where everything is a problem? You have 10 things to do, but only 30 minutes until your bus leaves. Is there enough time? You have 3 shirts and 2 pairs of pants. Can you make 1 good outfit? Then you start to wonder: Why does everything have to be such a problem? Why do 2 apples always have to be added to 5 oranges? Why do 4 kids always have to divide 12 marbles? Why can't you just keep 10 cookies without someone taking 3 away? Why? Because you're the victim of a Math Curse. That's why. But don't despair. This is one girl's story of how that curse can... more
Recommended by Daniel Munro, and 1 others.

Daniel MunroBook 15: Math Curse! A favourite for 20 years. My kids loved this book instantly when I introduced them to it. Great illustrations, fun math challenges and jokes. https://t.co/MdYEXKyz76 (Source)

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7
A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem. less

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8

In April 1956, a refitted oil tanker carried fifty-eight shipping containers from Newark to Houston. From that modest beginning, container shipping developed into a huge industry that made the boom in global trade possible. "The Box" tells the dramatic story of the container's creation, the decade of struggle before it was widely adopted, and the sweeping economic consequences of the sharp fall in transportation costs that containerization brought about.
Published on the fiftieth anniversary of the first container voyage, this is the first comprehensive history of the shipping...
more

Bill GatesI picked this one up after seeing it on a Wall Street Journal list of good books for investors. It was first published in 1954, but it doesn’t feel dated (aside from a few anachronistic examples—it has been a long time since bread cost 5 cents a loaf in the United States). In fact, I’d say it’s more relevant than ever. One chapter shows you how visuals can be used to exaggerate trends and give... (Source)

Tobi LütkeWe all live in Malcolm’s world because the shipping container has been hugely influential in history. (Source)

Jason ZweigThis is a terrific introduction to critical thinking about statistics, for people who haven’t taken a class in statistics. (Source)

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9

The Doorbell Rang

Each ring of the doorbell brings more friends to share the delicious cookies Ma has made in this beloved classic.

This enjoyable read-aloud picture book about friendship, sharing, and cookies can also be used to introduce basic math concepts to young children.

The Doorbell Rang was named a Notable Book for Children by the American Library Association.
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10

The Greedy Triangle

In this lively introduction to shapes and polygons, a bored triangle is turned into a quadrilateral after a visit to the shapeshifter. Delighted with his new career opportunities--as a TV screen and a picture frame--he decides the more angles the better, until an accident teaches him a lesson. Includes special teaching section. Full color. less

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Don't have time to read the top Math books of all time? Read Shortform summaries.

Shortform summaries help you learn 10x faster by:

  • Being comprehensive: you learn the most important points in the book
  • Cutting out the fluff: you focus your time on what's important to know
  • Interactive exercises: apply the book's ideas to your own life with our educators' guidance.
11
In his first book since the bestselling Fermat's Enigma, Simon Singh offers the first sweeping history of encryption, tracing its evolution and revealing the dramatic effects codes have had on wars, nations, and individual lives. From Mary, Queen of Scots, trapped by her own code, to the Navajo Code Talkers who helped the Allies win World War II, to the incredible (and incredibly simple) logistical breakthrough that made Internet commerce secure, The Code Book tells the story of the most powerful intellectual weapon ever known: secrecy.

Throughout the text are clear...
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Recommended by Stephen Kinsella, and 1 others.

Stephen Kinsella@gavreilly @SLSingh Love that book (Source)

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12
Whether you are a student struggling to fulfill a math or science requirement, or you are embarking on a career change that requires a higher level of math competency, A Mind for Numbers offers the tools you need to get a better grasp of that intimidating but inescapable field. Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. She flunked her way through high school math and science courses, before enlisting in the army immediately after graduation. When she saw how her lack of mathematical and technical savvy severely limited her options—both to... more
Recommended by Mike Rowe, and 1 others.

Mike RoweA good teacher will leave you educated. But a great teacher will leave you curious. Well, Barbara Oakley is a great teacher. Not only does she have a mind for numbers, she has a way with words, and she makes every one of them count (Source)

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13
Based on a National Magazine Award-winning article, this masterful biography of Hungarian-born Paul Erdos is both a vivid portrait of an eccentric genius and a layman's guide to some of this century's most startling mathematical discoveries. less

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14
A black swan is a highly improbable event with three principal characteristics: It is unpredictable; it carries a massive impact; and, after the fact, we concoct an explanation that makes it appear less random, and more predictable, than it was.

The astonishing success of Google was a black swan; so was 9/11. For Nassim Nicholas Taleb, black swans underlie almost everything about our world, from the rise of religions to events in our own personal lives.

Why do we not acknowledge the phenomenon of black swans until after they occur? Part of the answer, according to...
more
Recommended by Bill Gates, Jeff Bezos, Simon Sinek, and 22 others.

Bill Gates[On Bill Gates's reading list in 2012.] (Source)

Jeff Bezos[From the book "The Everything Store: and the Age of Amazon"] “The scholar argues that people are wired to see patterns in chaos while remaining blind to unpredictable events, with massive consequences. Experimentation and empiricism trumps the easy and obvious narrative,” Stone writes. (Source)

James AltucherAnd throw in “The Black Swan” and “Fooled by Randomness”. “Fragile” means if you hit something might break. “Resilient” means if you hit something, it will stay the same. On my podcast Nassim discusses “Antifragility” – building a system, even on that works for you on a personal level, where you if you harm your self in some way it becomes stronger. That podcast changed my life He discusses... (Source)

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15
One of Wall Street Journal's Best Ten Works of Nonfiction in 2012

New York Times Bestseller

"Not so different in spirit from the way public intellectuals like John Kenneth Galbraith once shaped discussions of economic policy and public figures like Walter Cronkite helped sway opinion on the Vietnam War…could turn out to be one of the more momentous books of the decade."
-New York Times Book Review

"Nate Silver's The Signal and the Noise is The Soul of a New Machine for the 21st century."
-Rachel Maddow, author of Drift

"A serious...
more
Recommended by Bill Gates, and 1 others.

Bill GatesAnyone interested in politics may be attracted to Nate Silver’s The Signal and the Noise: Why So Many Predictions Fail—but Some Don't. Silver is the New York Times columnist who got a lot of attention last fall for predicting—accurately, as it turned out–the results of the U.S. presidential election. This book actually came out before the election, though, and it’s about predictions in many... (Source)

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16
A world-class mathematician and regular contributor to the New York Times hosts a delightful tour of the greatest ideas of math, revealing how it connects to literature, philosophy, law, medicine, art, business, even pop culture in ways we never imagined

Did O.J. do it? How should you flip your mattress to get the maximum wear out of it? How does Google search the Internet? How many people should you date before settling down? Believe it or not, math plays a crucial role in answering all of these questions and more.

Math underpins everything in the cosmos,...
more

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17

Sir Cumference and the First Round Table

A Math Adventure

Join Sir Cumference, Lady Di of Ameter, and their son Radius for wordplay, puns, and problem solving in this geometry-packed math adventure. King Arthur was a good ruler, but now he needs a good ruler. What would you do if the neighboring kingdom were threatening war? Naturally, you'd call your strongest and bravest knights together to come up with a solution. But when your conference table causes more problems than the threat of your enemy, you need expert help. Enter Sir Cumference, his wife Lady Di of Ameter, and their son Radius. With the help of the carpenter, Geo of Metry, this... more

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18

Outliers

The Story of Success

In this stunning new book, Malcolm Gladwell takes us on an intellectual journey through the world of "outliers"--the best and the brightest, the most famous and the most successful. He asks the question: what makes high-achievers different?

His answer is that we pay too much attention to what successful people are like, and too little attention to where they are from: that is, their culture, their family, their generation, and the idiosyncratic experiences of their upbringing. Along the way he explains the secrets of software billionaires, what it takes to be a great soccer player,...
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Bill Gates[On Bill Gates's reading list in 2011.] (Source)

James AltucherGladwell is not the first person to come up with the 10,000 hour rule. Nor is he the first person to document what it takes to become the best in the world at something. But his stories are so great as he explains these deep concepts. How did the Beatles become the best? Why are professional hockey players born in January, February and March? And so on. (Source)

Cat Williams-TreloarThe books that I've talked the most about with friends and colleagues over the years are the Malcolm Gladwell series of novels. Glorious stories that mix science, behaviours and insight. You can't go wrong with the "The Tipping Point", "Outliers", "Blink" or "David & Goliath". (Source)

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19
Factfulness: The stress-reducing habit of only carrying opinions for which you have strong supporting facts.

When asked simple questions about global trends—what percentage of the world’s population live in poverty; why the world’s population is increasing; how many girls finish school—we systematically get the answers wrong. So wrong that a chimpanzee choosing answers at random will consistently outguess teachers, journalists, Nobel laureates, and investment bankers.

In Factfulness, Professor of International Health and global TED phenomenon...
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Barack ObamaAs 2018 draws to a close, I’m continuing a favorite tradition of mine and sharing my year-end lists. It gives me a moment to pause and reflect on the year through the books I found most thought-provoking, inspiring, or just plain loved. It also gives me a chance to highlight talented authors – some who are household names and others who you may not have heard of before. Here’s my best of 2018... (Source)

Bill GatesThis was a breakthrough to me. The framework Hans enunciates is one that took me decades of working in global development to create for myself, and I could have never expressed it in such a clear way. I’m going to try to use this model moving forward. (Source)

Nigel WarburtonIt’s an interesting book, it’s very challenging. It may be over-optimistic. But it does have this startling effect on the readers of challenging widely held assumptions. It’s a plea to look at the empirical data, and not just assume that you know how things are now. (Source)

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20
An alternate cover edition exists here.

The tipping point is that magic moment when an idea, trend, or social behavior crosses a threshold, tips, and spreads like wildfire. Just as a single sick person can start an epidemic of the flu, so too can a small but precisely targeted push cause a fashion trend, the popularity of a new product, or a drop in the crime rate. This widely acclaimed bestseller, in which Malcolm Gladwell explores and brilliantly illuminates the tipping point...
more

Kevin RoseBunch of really good information in here on how to make ideas go viral. This could be good to apply to any kind of products or ideas you may have. Definitely, check out The Tipping Point, which is one of my favorites. (Source)

Seth GodinMalcolm Gladwell's breakthrough insight was to focus on the micro-relationships between individuals, which helped organizations realize that it's not about the big ads and the huge charity balls... it's about setting the stage for the buzz to start. (Source)

Andy SternI think that when we talk about making change, it is much more about macro change, like in policy. This book reminds you that at times when you're building big movements, or trying to elect significant decision-makers in politics, sometimes it's the little things that make a difference. Ever since the book was written, we've become very used to the idea of things going viral unexpectedly and then... (Source)

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Don't have time to read the top Math books of all time? Read Shortform summaries.

Shortform summaries help you learn 10x faster by:

  • Being comprehensive: you learn the most important points in the book
  • Cutting out the fluff: you focus your time on what's important to know
  • Interactive exercises: apply the book's ideas to your own life with our educators' guidance.
21

What Is Mathematics?

An Elementary Approach to Ideas and Methods

For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its... more

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22
Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of... more

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23
Esta apasionante lectura nos descubre la naturaleza de los procesos arbitrarios de la vida cotidiana y cambia para siempre la percepción que tenemos de ellos. En 1905 Albert Einstein publicó una impactante explicación sobre el movimiento browniano -el movimiento arbitrario de partículas- comparándolo con la clase de movimiento que se observaría en el caminar de un borracho. La comparación se convirtió desde entonces en una poderosa herramienta para entender el movimiento puramente arbitrario que, por definición, no tiene ningún modelo específico.
En este nuevo libro, Leonard Mlodinow...
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Recommended by David Spiegelhalter, Gabriel Coarna, and 2 others.

David SpiegelhalterThis is a general introduction to the history of probability and the way it comes into everyday life. It intersperses the historical development with modern applications, and looks at finance, sport, gambling, lotteries and coincidences. (Source)

Gabriel CoarnaLeonard Mlodinow's "The Drunkarkd's Walk" -more precisely, the section on the "Monty Hall" problem- totally changed how I look-at/think-about probabilities and choices in general; this has impacted almost every real-life choice I've made since I read this book. (Source)

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24

How Much Is a Million?

“A jubilant, original picture book.” Booklist (starred review)

Ever wonder just what a million of something means? How about a billion? Or a trillion? Marvelosissimo the mathematical magician can teach you!

How Much Is a Million? knocks complex numbers down to size in a fun, humorous way, helping children conceptualize a difficult mathematical concept. It's a math class you'll never forget.

This classic picture book is an ALA Notable Book, a Reading Rainbow Feature Selection, and a Boston Globe/Horn...
more

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25

The Princeton Companion to Mathematics

This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and... more

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26

Chaos

Making a New Science

Few writers distinguish themselves by their ability to write about complicated, even obscure topics clearly and engagingly. In Chaos, James Gleick, a former science writer for the New York Times, shows that he resides in this exclusive category. Here he takes on the job of depicting the first years of the study of chaos--the seemingly random patterns that characterise many natural phenomena.

This is not a purely technical book. Instead, it focuses as much on the scientists studying chaos as on the chaos itself. In the pages of Gleick's book, the reader meets dozens of...

more
Recommended by Pedro G Ferreira, Adam Maloof, and 2 others.

Pedro G FerreiraIt turns out that even simple equations can have such complicated behaviour that, in practice, it’s impossible to predict the outcome, which is described as ‘chaotic’. (Source)

Adam MaloofJames Gleick is a former science writer for the New York Times and in this book Gleick describes the science of chaos, and how complex systems can also be interpreted in terms of simple rules and simple (but interacting) behaviours. (Source)

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27

Grapes Of Math

Let Scholastic Bookshelf be your guide through the whole range of your child's experiences-laugh with them, learn with them, read with them!

Eight classic, best-selling titles are available now!


Category: Math Skills
"How many grapes are on the vine?
Counting each takes too much time.
Never Fear, I have a hunch
There is a match for every bunch!"

Greg Tang, a lifelong lover of math, shares the techniques that have helped him solve problems in the most creative ways! Harry Briggs's vibrant & inviting illustrations create a...
more

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28
In 1859, Bernhard Riemann, a little-known thirty-two year old mathematician, made a hypothesis while presenting a paper to the Berlin Academy titled “On the Number of Prime Numbers Less Than a Given Quantity.” Today, after 150 years of careful research and exhaustive study, the Riemann Hypothesis remains unsolved, with a one-million-dollar prize earmarked for the first person to conquer it. Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic... more

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29
Recommended by Sophie Scott, and 1 others.

Sophie ScottIf you were listening to #themathsoflife on today’s @laurenlaverne show and you’d like to know more about how we can misperceive numbers and magnitude, I recommend @JohnAllenPaulos and his brilliant book, Innumeracy. (Source)

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30

The Very Hungry Caterpillar

THE all-time classic story, from generation to generation, sold somewhere in the world every 30 seconds! Have you shared it with a child or grandchild in your life?

One sunny Sunday, the caterpillar was hatched out of a tiny egg. He was very hungry. On Monday, he ate through one apple; on Tuesday, he ate through three plums--and still he was hungry. When full at last, he made a cocoon around himself and went to sleep, to wake up a few weeks later wonderfully transformed into a butterfly!

The brilliantly innovative Eric Carle has dramatized the story of one of Nature's...
more

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Don't have time to read the top Math books of all time? Read Shortform summaries.

Shortform summaries help you learn 10x faster by:

  • Being comprehensive: you learn the most important points in the book
  • Cutting out the fluff: you focus your time on what's important to know
  • Interactive exercises: apply the book's ideas to your own life with our educators' guidance.
31

Logicomix

An Epic Search for Truth

An innovative, dramatic graphic novel about the treacherous pursuit of the foundations of mathematics.
This graphic novel recounts the spiritual odyssey of philosopher Bertrand Russell. In his agonized search for absolute truth, he crosses paths with thinkers like Gottlob Frege, David Hilbert & Kurt Gödel, & finds a passionate student in Ludwig Wittgenstein. But his most ambitious goal—to establish unshakable logical foundations of mathematics—continues to loom before him. Thru love & hate, peace & war, he persists in the mission threatening to claim both his career...
more
Recommended by Marcus du Sautoy, and 1 others.

Marcus du SautoyThis is quite a recent publication and I saw the first inklings of this graphic novel when I went to a meeting in Mykonos on maths and narrative and it really looked an incredibly exciting project. I enjoy the graphic novel as an art form and I’ve always enjoyed Tintin and this has a very Tintinesque line to it, the illustration. But it brings alive one of the great stories of 20th-century... (Source)

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32
Too often math gets a bad rap, characterized as dry and difficult. But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race, and arguably the foundation of all human progress. The world of mathematics is a remarkable place."Bellos has traveled all around the globe and has plunged into history to uncover fascinating stories of mathematical achievement, from the breakthroughs of Euclid, the greatest mathematician of all time, to the creations of the Zen master of origami, one of the hottest areas of... more

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33
In 1859, German mathematician Bernhard Riemann presented a paper to the Berlin Academy that would forever change the history of mathematics. The subject was the mystery of prime numbers. At the heart of the presentation was an idea that Riemann had not yet proved but one that baffles mathematicians to this day.

Solving the Riemann Hypothesis could change the way we do business, since prime numbers are the lynchpin for security in banking and e-commerce. It would also have a profound impact on the cutting-edge of science, affecting quantum mechanics, chaos theory, and the future of...
more

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34

Concrete Mathematics

A Foundation for Computer Science

Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." less

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35

A Mathematician's Apology

Written in 1940 as his mathematical powers were declining, G.H. Hardy's apology offers an engaging account of the thoughts of a man known for his eccentricities as well as his brilliance in mathematics. less
Recommended by Marcus du Sautoy, and 1 others.

Marcus du SautoyYes, it really appealed to me when I read it as a kid because I was interested in music, I played the trumpet, I loved doing theatre, and somehow GH Hardy in that book revealed to me how much mathematics is a creative art as much as a useful science. In fact he probably goes further, he really revels in the beauty of the subject and says he’s not particularly interested in the applications. That... (Source)

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36

Gödel's Proof

In 1931 Kurt Gödel published his fundamental paper, "On Formally Undecidable Propositions of Principia Mathematica and Related Systems." This revolutionary paper challenged certain basic assumptions underlying much research in mathematics and logic. Gödel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences--perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times." more

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37

The Boy Who Loved Math

The Improbable Life of Paul Erdos

Most people think of mathematicians as solitary, working away in isolation. And, it's true, many of them do. But Paul Erdos never followed the usual path. At the age of four, he could ask you when you were born and then calculate the number of seconds you had been alive in his head. But he didn't learn to butter his own bread until he turned twenty. Instead, he traveled around the world, from one mathematician to the next, collaborating on an astonishing number of publications. With a simple, lyrical text and richly layered illustrations, this is a beautiful introduction to the world of math... more

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38
Longlisted for the National Book Award
New York Times Bestseller


A former Wall Street quant sounds an alarm on the mathematical models that pervade modern life -- and threaten to rip apart our social fabric

We live in the age of the algorithm. Increasingly, the decisions that affect our lives--where we go to school, whether we get a car loan, how much we pay for health insurance--are being made not by humans, but by mathematical models. In theory, this should lead to greater fairness: Everyone is judged according to the same rules, and bias is...
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Recommended by Paula Boddington, Ramesh Srinivasan, and 2 others.

Paula BoddingtonHow the use of algorithms has affected people’s lives and occasionally ruined them. (Source)

Ramesh SrinivasanThis book is a really fantastic analysis of how quantification, the collection of data, the modelling around data, the predictions made by using data, the algorithmic and quantifiable ways of predicting behaviour based on data, are all built by elites for elites and end up, quite frankly, screwing over everybody else. (Source)

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39
Which is more dangerous, a gun or a swimming pool? What do schoolteachers and sumo wrestlers have in common? Why do drug dealers still live with their moms? How much do parents really matter? What kind of impact did Roe v. Wade have on violent crime? Freakonomics will literally redefine the way we view the modern world.

These may not sound like typical questions for an economist to ask. But Steven D. Levitt is not a typical economist. He is a much heralded scholar who studies the stuff and riddles of everyday life -- from cheating and crime to sports and child rearing -- and whose...
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Malcolm GladwellI don’t need to say much here. This book invented an entire genre. Economics was never supposed to be this entertaining. (Source)

Daymond JohnI love newer books like [this book]. (Source)

James Altucher[James Altucher recommended this book on the podcast "The Tim Ferriss Show".] (Source)

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40
Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing... more
Recommended by Kirk Borne, and 1 others.

Kirk BorneSome Fun with Gentle Chaos, the Golden Ratio, and Stochastic Number Theory, with Gaming Applications: https://t.co/oQG0y3vA22 #abdsc by @granvilleDSC @DataScienceCtrl #Mathematics #Statistics ————— Learn all about the Golden Ratio in this fantastic book: https://t.co/9QxN9ECpH7 https://t.co/Mt45UZFFHH (Source)

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Don't have time to read the top Math books of all time? Read Shortform summaries.

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41

Sir Cumference and the Dragon of Pi

Sir Cumference, Lady Di of Ameter, and Radius are back in their second Math Adventure! This time, a potion has changed Sir Cumference into a fire-breathing dragon. Can Radius change him back? Join Radius on his quest through the castle to solve a riddle that will reveal the cure. It lies in discovering the magic number that is the same for all circles. less

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42
Math's infinite mysteries unfold in this paperback edition of the bestselling TheMath Book. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, prolific polymath Clifford Pickover covers 250 milestones in mathematical history. Among the numerous concepts readers will encounter as they dip into this inviting anthology: cicada-generated prime numbers, magic squares, and the butterfly effect. Each topic is presented in a lavishly illustrated spread, including formulas and real-world applications of the... more

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43

Euclid's Elements

Green Lion Press has prepared a new one-volume edition of T.L. Heath's translation of the thirteen books of Euclid's Elements. In keeping with Green Lion's design commitment, diagrams have been placed on every spread for convenient reference while working through the proofs; running heads on every page indicate both Euclid's book number and proposition numbers for that page; and adequate space for notes is allowed between propositions and around diagrams. The all-new index has built into it a glossary of Euclid's Greek terms.

Heath's translation has stood the test of time,...
more

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44
Without calculus, we wouldn’t have cell phones, TV, GPS, or ultrasound. We wouldn’t have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket.

Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz’s brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it’s about simplicity. It harnesses an unreal number—infinity—to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel...
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John UrschelI hope they enjoy it as much as I did. If you or someone you know is studying Calculus, this book is highly recommended. https://t.co/s2yVt6SwTx (Source)

Kirk Borne"Infinite Powers: How Calculus Reveals the Secrets of the Universe" book by @stevenstrogatz https://t.co/wy91xAEqlS Great #Mathematics book that explores the History of Modern Science from this amazing perspective! https://t.co/M4obTvpnbe (Source)

Nigel ShadboltInfinite Powers is a wonderful motivational for anyone taking a course in calculus. For those readers who remember calculus with dread from maths classes of yore, here is a text that explains just why the material has always had such a key place in our curricula. It charts a history of ideas that sought to make sense of the world through mathematics—to develop methods that find the deep laws and... (Source)

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45

One Hundred Hungry Ants

One hundred hungry ants march off single file to sample a picnic, but when the going gets too slow, they divide into two rows of fifty, then four rows of twenty . . . until they take so long that the picnic is gone! less

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46

How to Prove It

A Structured Approach

Geared to preparing students to make the transition from solving problems to proving theorems, this text teaches them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer... more

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47
A reward of one grain of rice doubles day by day into millions of grains of rice when a selfish raja is outwitted by a clever village girl. less

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48

The Number Devil

A Mathematical Adventure

The international best-seller that makes mathematics a thrilling exploration.

In twelve dreams, Robert, a boy who hates math, meets a Number Devil, who leads him to discover the amazing world of numbers: infinite numbers, prime numbers, Fibonacci numbers, numbers that magically appear in triangles, and numbers that expand without. As we dream with him, we are taken further and further into mathematical theory, where ideas eventually take flight, until everyone - from those who fumble over fractions to those who solve complex equations in their heads - winds up marveling at what...
more

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49
The tale of a relationship between a young Indian mathematics genius, Ramanujan, and his tutor at Cambridge University, G.H. Hardy, in the years before World War I. Through their eyes the reader is taken on a journey through numbers theory. Ramanujan would regularly telescope 12 steps of logic into two - the effect is said to be like Dr Watson in the train of some argument by Sherlock Holmes. The language of symbols and infinitely large (and small) regions of mathematics should be rendered with clarity for the general reader. less

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50

Spaghetti and Meatballs for All!

Mr. and Mrs. Comfort have arranged tables and chairs to seat 32 people at their family reunion. But the guests have their own ideas for seating. Area and perimeter come alive as the family makes room for everyone. Used in Math By All Means: Area and Perimeter, Grades 5-6. less

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Don't have time to read the top Math books of all time? Read Shortform summaries.

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51

Measuring Penny

Lisa has an important homework assignment--to measure something in several different ways. She has to use standard units like inches and nonstandard units like paper clips to find out height, width, length, weight, volume, temperature, and time. Lisa decides to measure her dog, Penny, and finds out ...

Penny's nose = 1 inch long
Penny's tail = 1 dog biscuit long
Penny's paw print = 3 centimeters wide

... and that's only the beginning! Lisa learns a lot about her dog and about measuring, and even has fun doing it.

This clear and engaging concept...
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52
“One of the best critiques of current mathematics education I have ever seen.”—Keith Devlin, math columnist on NPR’s Morning Edition

A brilliant research mathematician who has devoted his career to teaching kids reveals math to be creative and beautiful and rejects standard anxiety-producing teaching methods. Witty and accessible, Paul Lockhart’s controversial approach will provoke spirited debate among educators and parents alike and it will alter the way we think about math forever.

Paul Lockhart, has taught mathematics at Brown University and UC Santa...
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Recommended by Vinod Khosla, Vinod Khosla, and 2 others.

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53

A History of π

The history of pi, says the author, though a small part of the history of mathematics, is nevertheless a mirror of the history of man. Petr Beckmann holds up this mirror, giving the background of the times when pi made progress -- and also when it did not, because science was being stifled by militarism or religious fanaticism. less
Recommended by Alex Bellos, and 1 others.

Alex BellosPetr Beckmann was a Czech electrical engineer who lived in Czechoslovakia until he was 39 in 1963, when he went to America as a visiting professor and just stayed there. (Source)

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54

Inch by Inch

Can a song be measured?

Meet a winning, winsome inchworm, proud of his ability to measure anything under the sun, from a robin's tail to a toucan's beak. When a hungry nightingale threatens to eat him for breakfast unless he can measure her song, the inchworm calls on his craft and skill to creatively solve the dilemma.

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55

Set against the backdrop of the Jim Crow South and the civil rights movement, the never-before-told true story of NASA’s African-American female mathematicians who played a crucial role in America’s space program—and whose contributions have been unheralded, until now.

Before John Glenn orbited the Earth or Neil Armstrong walked on the moon, a group of professionals worked as “Human Computers,” calculating the flight paths that would enable these historic achievements. Among these were a coterie of bright, talented African-American women. Segregated from their white counterparts by...

more

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56
These simple math secrets and tricks will forever change how you look at the world of numbers.

Secrets of Mental Math will have you thinking like a math genius in no time. Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and—maybe for the first time—make...
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57

Pete the Cat and His Four Groovy Buttons

An award-winning and bestselling Pete the Cat hardcover picture book!

Count down with Pete in this rocking story that makes counting fun! Pete the Cat is wearing his favorite shirt—the one with the four totally groovy buttons.

But when one falls off, does Pete cry? Goodness, no! He just keeps on singing his song—after all, what could be groovier than three groovy buttons? The winner of the Theodor Seuss Geisel Honor Award.

The fun never stops—download the free groovin’ song!
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58

The Grouchy Ladybug

From Eric Carle, New York Times bestselling author of The Very Hungry Caterpillar and From Head to Toe, comes the classic story of one very grouchy ladybug. Eric Carle's bright artwork and signature style will charm both ardent fans and new readers alike.

As children follow the Grouchy Ladybug on her journey, they will learn the important concepts of time, size, and shape, as well as the benefits of friendship and good manners.

For generations, The Grouchy Ladybug has delighted readers of all ages with the story of a...
more

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59
In In Pursuit of the Unknown, celebrated mathematician Ian Stewart uses a handful of mathematical equations to explore the vitally important connections between math and human progress. We often overlook the historical link between mathematics and technological advances, says Stewart—but this connection is integral to any complete understanding of human history.Equations are modeled on the patterns we find in the world around us, says Stewart, and it is through equations that we are able to make sense of, and in turn influence, our world. Stewart locates the origins of each equation he... more
Recommended by Nick Higham, Ante Shoda, and 2 others.

Nick HighamHe is a brilliant writer and one of the most famous people in the world for popularising mathematics. (Source)

Ante ShodaThis is written by a professor of mathematics from the United Kingdom, and it describes a number of mathematical breakthroughs and their consequences related to engineering and the practical usage of mathematics in machines and other things that we use every day. It’s a great introduction to the underlying principles of engineering. (Source)

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60
A New York Times Science Bestseller

What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren’t even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry.

In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we’ve never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows...
more

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61

How Big Is a Foot?

The King wants to give the Queen something special for her birthday. The Queen has everything, everything except a bed. The trouble is that no one in the Kingdom knows the answer to a very important question: How Big is a Bed? because beds at the time had not yet been invented. The Queen's birthday is only a few days away. How can they figure out what size the bed should be? less

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62
Last Sunday, Alexander's grandparents gave him a dollar -- and he was rich. There were so many things that he could do with all of that money!

He could buy as much gum as he wanted, or even a walkie-talkie, if he saved enough. But somehow the money began to disappear...

Readers of all ages will be delighted by this attractive new edition of Judith Viorst's beloved picture book.

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63
The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. This text is part of the Walter Rudin... more

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64
Fooled by Randomness is a standalone book in Nassim Nicholas Taleb’s landmark Incerto series, an investigation of opacity, luck, uncertainty, probability, human error, risk, and decision-making in a world we don’t understand. The other books in the series are The Black Swan, Antifragile, and The Bed of Procrustes.

Now in a striking new hardcover edition, Fooled by Randomness is the word-of-mouth sensation that will change the way you think about business and the world. Nassim Nicholas Taleb–veteran trader, renowned risk expert, polymathic scholar,...
more

James AltucherAnd throw in “The Black Swan” and “Fooled by Randomness”. “Fragile” means if you hit something might break. “Resilient” means if you hit something, it will stay the same. On my podcast Nassim discusses “Antifragility” – building a system, even on that works for you on a personal level, where you if you harm your self in some way it becomes stronger. That podcast changed my life He discusses... (Source)

Howard MarksReally about how much randomness there is in our world. (Source)

Anant JainThe five-book series, "Incerto", by Nassim Nicholas Taleb has had a profound impact on how I think about the world. There’s some overlap across the books — but you'll likely find the repetition helpful in retaining the content better. (Source)

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65

Sir Cumference and All the King's Tens

A clever introduction to place value.

Sir Cumference and Lady Di planned a surprise birthday party for King Arthur, but they didn’t expect so many guests to show up. How many lunches will they need? And with more guests arriving by the minute, what about dinner? Sir Cumference and Lady Di have to figure out a quick way to count the guests to bring order to the party.

Sir Cumference and his friends have been entertaining young and old alike for years as they introduce important math concepts with clarity and humor.
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66

A Remainder of One

Hup, two, three, four! We're in the 25th Army Corps. Queen's count! Two, three! We are the marching infantry! Poor Joe! He wants to march in the parade, but every time the lines are uneven, he must stand aside. What's a poor bug to do? Joe is determined. He studies the problem, relining the twenty-five bugs in his squadron from two lines to three lines to four lines, until inspiration and fortitude result in five lines of five -- and Joe fits in the last. less

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67
- Cut pizzas in new and fairer ways!
- Fit a 2p coin through an impossibly small hole!
- Make a perfect regular pentagon by knotting a piece of paper!
- Tie your shoes faster than ever before, saving literally seconds of your life!
- Use those extra seconds to contemplate the diminishing returns of an exclamation-point at the end of every bullet-point!
- Make a working computer out of dominoes!

Maths is a game. This book can be cut, drawn in, folded into shapes and will even take you to the fourth dimension.

So join stand-up mathematician Matt...
more

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68

A Beautiful Mind

Stories of famously eccentric Princetonians abound—such as that of chemist Hubert Alyea, the model for The Absent-Minded Professor, or Ralph Nader, said to have had his own key to the library as an undergraduate. Or the "Phantom of Fine Hall," a figure many students had seen shuffling around the corridors of the math and physics building wearing purple sneakers and writing numerology treatises on the blackboards. The Phantom was John Nash, one of the most brilliant mathematicians of his generation, who had spiraled into schizophrenia in the 1950s. His most important work had been in... more
Recommended by Ariel Rubinstein, Diane Coyle, and 2 others.

Ariel RubinsteinThe story of John Nash is really a human story – I don’t think it sheds much light on game theory. But it gives hope to people dealing with this disease. (Source)

Diane CoyleThis is a terrific book for just saying something about what game theory helps to do, without plunging you into all the complicated mathematics of how to do it in practice. (Source)

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69

How Many Seeds in a Pumpkin?

For curious kids, this explores skip counting and estimation in a fun pumpkin-themed classroom experiment. "How many seeds are in a pumpkin?" Mr. Tiffin asks his class as they gather around the big, medium, and small pumpkins on his desk. Robert, the biggest kid, guesses that the largest one has a million seeds; Elinor, sounding like she knows what she's talking about, guesses the medium one has 500 seeds; and Anna, who likes even numbers better than odd ones, guesses that the little one has 22. Charlie, the smallest boy in the class, doesn't have a guess. Counting pumpkin seeds is messy...

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70

Proofs from THE BOOK

This revised and enlarged sixth edition of Proofs from THE BOOK features an entirely new chapter on Van der Waerden's permanent conjecture, as well as additional, highly original and delightful proofs in other chapters.

From the citation on the occasion of the 2018 "Steele Prize for Mathematical Exposition"

"... It is almost impossible to write a mathematics book that can be read and enjoyed by people of all levels and backgrounds, yet Aigner and Ziegler accomplish this feat of exposition with virtuoso style. [...] This book does an invaluable service to...
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Don't have time to read the top Math books of all time? Read Shortform summaries.

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71
Our Mathematical Universe is a journey to explore the mysteries uncovered by cosmology and to discover the nature of reality. Our Big Bang, our distant future, parallel worlds, the sub-atomic and intergalactic - none of them are what they seem. But there is a way to understand this immense strangeness - mathematics. Seeking an answer to the fundamental puzzle of why our universe seems so mathematical, Tegmark proposes a radical idea: that our physical world not only is described by mathematics, but that it is mathematics. This may offer answers to our deepest questions: How large is... more
Recommended by Mark Cuban, and 1 others.

Mark Cuban[On Mark Cuban's list of books to read in 2018.] (Source)

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72

Number

The Language of Science

Recommended by Bryan Johnson, and 1 others.

Bryan Johnson[Bryan Johnson recommended this book on Twitter.] (Source)

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73

Calculus Made Easy

Calculus Made Easy has long been the most popular calculus primer, and this major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader. less

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74

Ten Apples Up On Top!

Learning to count has never been more fun than in this crazy tale of a dog, a lion and a tiger all showing off how many apples they can balance on their heads as they skip, walk the tightrope and roller skate their way through the book.


This delightful book forms part of the second stage in HarperCollins’ major Dr. Seuss rebrand programme. With the relaunch of 10 more titles in August 2003, such all-time favourites as How the Grinch Stole Christmas!, Mr. Brown Can Moo! Can You? and Dr. Seuss’ Sleep Book boast bright new covers that incorporate much needed guidance on reading...
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75

Sir Cumference and the Great Knight of Angleland

Radius is on a quest to earn his knighthood! With only a circular medallion, a mysterious poem, and his own wits to guide him, he must find and rescue a missing king. less

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76

Linear Algebra Done Right

This text for a second course in linear algebra is aimed at math majors and graduate students. The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. A variety of... more

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78
Once considered tedious, the field of statistics is rapidly evolving into a discipline Hal Varian, chief economist at Google, has actually called “sexy.” From batting averages and political polls to game shows and medical research, the real-world application of statistics continues to grow by leaps and bounds. How can we catch schools that cheat on standardized tests? How does Netflix know which movies you’ll like? What is causing the rising incidence of autism? As best-selling author Charles Wheelan shows us in Naked Statistics, the right data and a few well-chosen statistical tools... more

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79

e

the Story of a Number

The story of [pi] has been told many times, both in scholarly works and in popular books. But its close relative, the number e, has fared less well: despite the central role it plays in mathematics, its history has never before been written for a general audience. The present work fills this gap. Geared to the reader with only a modest background in mathematics, the book describes the story of e from a human as well as a mathematical perspective. In a sense, it is the story of an entire period in the history of mathematics, from the early seventeenth to the late nineteenth century, with the... more

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80
It’s the revolutionary math study guide just for middle school students from the brains behind Brain Quest.
    
Everything You Need to Ace Math . . . covers everything to get a student over any math hump: fractions, decimals, and how to multiply and divide them; ratios, proportions, and percentages; geometry; statistics and probability; expressions and equations; and the coordinate plane and functions.

The BIG FAT NOTEBOOK™ series is built on a simple and irresistible conceit—borrowing the notes from the smartest kid in class. There are five books in all,...
more

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Don't have time to read the top Math books of all time? Read Shortform summaries.

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  • Interactive exercises: apply the book's ideas to your own life with our educators' guidance.
81
In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i, re-creating the baffling mathematical problems that conjured it up and the colorful characters who tried to solve them. Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts, mathematical discussions, and the application of complex numbers and functions to important problems. less

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82
The first scientific entry in the acclaimed Art of Mentoring series from Basic Books, Letters to a Young Mathematician tells readers what Ian Stewart wishes he had known when he was a student and young faculty member. Subjects ranging from the philosophical to the practical--what mathematics is and why it's worth doing, the relationship between logic and proof, the role of beauty in mathematical thinking, the future of mathematics, how to deal with the peculiarities of the mathematical community, and many others--are dealt with in Stewart's much-admired style, which combines subtle,... more

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83

Mathematics

Its Content, Methods and Meaning

". . . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book Review
This major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, "This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics...
more
Recommended by Nassim Nicholas Taleb, Bret Victor, and 2 others.

Nassim Nicholas TalebThere is something admirable about the school of the Russians: they are thinkers doing math, with remarkable clarity, minimal formalism, and total absence of unnecessary pedantry one finds in more modern texts (in the post Bourbaki era). This is of course surprising as one would have expected the exact opposite from the products of the communist era. Mathematicians should be using this book as a... (Source)

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84

Proofs and Refutations

The Logic of Mathematical Discovery

A novel introduction to the philosophy of mathematics, mostly in the form of a discussion between a group of students and their teacher. It combats the positivist picture and develops a much richer, more dramatic progression. less
Recommended by Alf Coles, and 1 others.

Alf ColesI first came across this book at university in a course on the philosophy of mathematics. Looking back, it was one of my first experiences of how maths could be different to how I was taught it. In the book, Lakatos takes a particular area of mathematics to do with shape and recreates an imaginary dialogue where he and the characters in the book go through this extraordinary process of developing... (Source)

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86

Zero the Hero

Zero. Zip. Zilch. Nada. That's what all the other numbers think of Zero. He doesn't add anything in addition. He's of no use in division. And don't even ask what he does in multiplication. (Hint: Poof!) But Zero knows he's worth a lot, and when the other numbers get into trouble, he swoops in to prove that his talents are innumerable. less

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87

The Colossal Book of Mathematics

s/t: Classic Puzzles, Paradoxes & Problems
Whether discussing hexaflexagons or number theory, Klein bottles or the essence of "nothing," Martin Gardner has single-handedly created the field of "recreational mathematics." The Colossal Book of Mathematics collects together Gardner's most popular pieces from his legendary "Mathematical Games" column, which ran in Scientific American for twenty-five years. Gardner's array of absorbing puzzles and mind-twisting paradoxes opens mathematics up to the world at large, inspiring people to see past numbers and formulas and...
more

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88
In this collection of landmark mathematical works, editor Stephen Hawking has assembled the greatest feats humans have ever accomplished using just numbers and their brains. less

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89

Sir Cumference and the Sword in the Cone

King Arthur has issued a challenge. The first knight to find the sword Edgecalibur will be the next king. Join Sir Cumference, Lady Di of Ameter, and their son, Radius, as they race to help their friend, Vertex, find the sword and discover the secrets of cubes, pyramids, cylinders, and cones. less

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90
One Fish Two Fish Red Fish Blue Fish is a 1960 children's book by Dr. Seuss (Theodor Seuss Geisel). A simple rhyming book for learner readers, it is a book with a freewheeling plot about a boy and a girl, and the many amazing creatures they have for friends and pets. One Fish Two Fish Red Fish Blue Fish was part of the Beginner Book Video series which included Oh, the Thinks You Can Think! and The Foot Book. less

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91

Pigs Will Be Pigs

Fun with Math and Money

Join the pig family as they add, subtract, multiply, divide, and think about how money works in order to satisfy their big pig appetites!

The pigs are very hungry, and there’s no food in the house. Mr. Pig suggests eating out—but oh, no! The Pigs are out of money!

So the family goes on a money hunt. In beds, under the carpet, even in the washing machine the coins and bills add up, and soon it’s off to the Enchanted Enchilada.

How much money did the Pigs find? What can they afford to order from the menu? Join the fun and pig out on math and money...
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93

Chicka Chicka 1, 2, 3

1 told 2
and 2 told 3,
"I'll race you to the top
of the apple tree."
One hundred and one numbers climb the apple tree in this bright, rollicking, joyous book for young children. As the numerals pile up and bumblebees threaten, what's the number that saves the day? (Hint: It rhymes with "hero.") Read and count and play and laugh to learn the surprising answer.
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94

Measurement

For seven years, Paul Lockhart s "A Mathematician s Lament" enjoyed a samizdat-style popularity in the mathematics underground, before demand prompted its 2009 publication to even wider applause and debate. An impassioned critique of K 12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here Lockhart offers the positive side of the math education story by showing us how math should be done. "Measurement "offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living.

In...
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95

Probability Theory

Going beyond the conventional mathematics of probability theory, this study views the subject in a wider context. It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate-level courses involving data analysis. Aimed at readers already familiar with applied mathematics at an advanced undergraduate level or higher, it is of interest to scientists concerned with inference from incomplete information. less

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96
This textbook is aimed at newcomers to nonlinear dynamics and chaos. The presentation stresses analytical methods, concrete examples, and geometric intuition. A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with mathematical theory.
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97

The Man Who Counted

A Collection of Mathematical Adventures

Malba Tahan is the creation of a celebrated Brazilian mathematician who was looking for a way to bring some of the mysteries and delights of mathematics to a wider public. He turned out to be a born storyteller.


The adventures of Beremiz Samir, The Man Who Counted, take the reader on an exotic journey in which, time and again, he summons his extraordinary mathematical powers to settle disputes, give wise advice, overcome dangerous enemies, and win for himself fame and fortune. as we accompany him, we learn much of the history of famous mathematicisns who preceded...
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Recommended by Alex Bellos, and 1 others.

Alex BellosThe author Malba Tahan is a fictional character, the pen name of Júlio César de Mello e Sousa, and the book is set in Arabia as a mixture of One Thousand and One Nights and a maths book – it’s coming out of the most populous Catholic country in the world and yet it’s as much a love story to Arab culture as to maths itself. There were lots of Arab immigrants in Brazil and they love Arab culture –... (Source)

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98

Math for All Seasons

Let the Scholastic bookshelf be your guide through the whole range of your child's reading experience--laugh with them, learn with them, read with them!
Category: Math Skills

Your challenge is to find the sum
Without counting one by one
Why not count? It's much too slow --
Adding is the way to go!
Make clever groups before you start --
Then add them in a way that's smart!
MATH FOR ALL SEASONS will challenge every kid -- and every parent -- to open their minds and solve problems in new and unexpected ways. By looking for patterns, symmetries, and...
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99

The Phantom Tollbooth

Hailed as “a classic. . . . humorous, full of warmth and real invention” (The New Yorker), this beloved story -first published more than fifty years ago- introduces readers to Milo and his adventures in the Lands Beyond.

For Milo, everything’s a bore. When a tollbooth mysteriously appears in his room, he drives through only because he’s got nothing better to do. But on the other side, things seem different. Milo visits the Island of Conclusions (you get there by jumping), learns about time from a ticking watchdog named Tock, and even embarks on a quest to rescue Rhyme and Reason!...
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Recommended by Julie Zhuo, Clara Jeffery, and 2 others.

Julie ZhuoTo this day, I can think of no better book that captures the imagination, wonder and adventure of life that children so intuitively grasp. (Source)

Clara JefferyThe best kids book ever https://t.co/9f3UGfmPdi (Source)

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100

Apple Fractions

Best-selling author Jerry Pallotta turns his talents to teaching fractions to kids by using a healthy snack food: apples!

Author Jerry Pallotta and illustrator Rob Bolster use a variety of different apples to teach kids all about fractions in this innovative and enjoyable book. Playful elves demonstrate how to divide apples into halves, thirds, fourths, and more. Young readers will also learn about varieties of apples, including Golden and Red Delicious, Granny Smiths, Cortlands, and even Asian Pears.
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