79 books like I Want to Be a Mathematician

Have you ever been to a mathematics lecture where the speaker wore a tuxedo and baffled the audience with his mystifying knowledge of numbers? Well, I have and the speaker was Arthur Benjamin, who combined mathematics and magic. He even displayed this knowledge with Stephen Colbert on his earlier show The Colbert Report. It is our good fortune that he describes much of this mathematical wizardry in this fascinating book. 

I well remember when Erdos came to MIT to visit my wonderful friend Gian-Carlo Rota. He traveled without money and without a place to stay. He depended entirely on friends. What he offered in return was something of much greater value: his ideas. A mathematician searches everywhere for the right problems to work on – not easy, not random, but opening a door from what we know to what we don't know. Erdos gave that ideal gift to his friends. If you wrote a paper with him, your Erdos number is 1.  

Math is so much more than algebra.

Steve Strogatz is our generation’s poet laureate of math. I could not put this book down because, although I use math daily, I was amazed at how Strogatz connects everything to everyday experience. Just one example: Hardly anyone gets told about “group theory” in high school because it’s “too advanced”—but here we find it beautifully illustrated with the problem of flipping your mattress twice a year.

This book will help you have your own ideas by opening your eyes to a world of things that just make better sense through the lens of careful analysis, the interplay of the visual and the symbolic, and (just enough) abstraction.

Robin Wilson, the famous mathematical historian and storyteller with a great sense of humor, along with his co-authors, tell the story of how one particular area of mathematics (graph theory, my favorite area) got its start in the 18th and 19th centuries in Europe, found its way across the Atlantic to America, and what effect Americans had on this area of mathematics. It also tells the fascinating story of how and where more advanced mathematics became part of America. 

This book will be available Fall 2022.

Frenkel came from the Soviet Union, where discrimination against Jews made it impossible for him to get into Moscow State University. During the oral exam they sent two graduate students to question him, pick holes in his responses, and ensure he failed. He turned to an informal network of Soviet mathematicians for help.

Like him, they were denied serious employment in the field, but after the 'cold war' against the Soviet Union, Harvard invited him to take a fellowship that later turned into a permanent job. Years later, when his old tormentor from Moscow State arrives to give a talk, he confronts the man in a lecture room with first-hand evidence of allegations against the system. Faced with a victim, the Russian mathematician's denials rang hollow. 

This book reaches beyond mathematics to anyone of independent thought in an environment where it is not permitted to step out of line or,… show more.

I think the life and the work of Ramanujan is the most astonishing story of any mathematician. Everybody knows that 1/2 + 1/4 + 1/8 + ... adds to 1. Ramanujan wrote down infinite series like that but of amazing complexity. He was a self-taught and unknown genius in India, who found his way to England. His ideas are still being explored and developed— they go to the heart of mathematics. This book and the movie are simply inspiring.

I’m a mathematician. Mathematicians start with basic ideas—axioms and definitions—and use logic to deduce magical things called theorems. When I decided I wanted to write fiction, I looked for books on writing. I found lots of good books, but they left my mathematical brain unsatisfied. Then I found Gardner’s book. Gardner’s genius is that he provides a theory of fiction, a framework for understanding what makes writing come alive. Reading Gardner, I saw at once the difference between, say, Edgar Allen Poe and Stephen King. They’re both geniuses, to be sure, but King’s writing draws you into his fictional worlds in ways Poe’s never does. The underlying theory, the fictional dream, makes all the difference. The fictional dream is the secret to compelling writing.

It is fair to say that many people—even those who loved mathematics as students—view mathematics as having always existed. The idea that definitions and theorems that fill our school textbooks were created or discovered by human beings is something that has never crossed their mind. In fact, mathematics has a long, fascinating, and rich history, and William Dunham’s Journey Through Genius is a perfect introduction to the topic. Dunham expertly writes about the history of topics like geometry, number theory, set theory, and calculus in a way that is entertaining, understandable, and rigorous. After finishing Journey Through Genius, readers will not think about mathematics in the same way, and they will be eager to learn about the history of other mathematical topics, people, and cultures.

For me, this book got the closest to the nitty-gritty of why mathematicians like me, whose job is to prove theorems, find this activity so compelling.

It’s always been the long hunt, with all the frustration as well as the occasional success, that I’ve found so addictive. Doxiadis brought out the nuances of such pursuits brilliantly – the wily Uncle Petros tells the narrator to prove a mathematical statement despite knowing it is almost surely false.

Ah, these little tricks that we mathematicians enjoy playing on unsuspecting souls (I’ve been known to do this to my students a couple of times).

First published in 1937, this lovely book is a true classic. In two volumes Bell brings to life 30 or so mathematicians, from Archimedes to Cantor. When first reading the book many years ago I had remembered some of the names from school and college, but only as labels to theorems or equations, and I felt taken into a delightful new realm of knowledge – I could now think of Fermat, Lagrange, Gauss, and Riemann as people. And I began to want to know more about the scientists whose names I had heard in school and college. Bell’s book had sparked a lifelong interest.