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.

My first pick is the one most directly about Alan Turing himself. After 1950 his attention turned mainly to his new theory of mathematical biology, but his death in 1954 left most of this work unpublished. His ideas were 20 or more years ahead of their time and few people could assess them. Jonathan Swinton is a leading expert in this field, and has been studying Turing’s manuscripts for 30 years. But his book has a much broader range: he adds so much on the culture of Manchester and its region, with a particular focus on women both as protagonists and observers. He has also illustrated his story with a wealth of pictures.

A graphic novel about Ada Lovelace, Charles Babbage, and their quixotic Victorian escapades designing computers and algorithms nearly a century before their time? As fascinating as that may already sound, it’s only the beginning. This is the only graphic novel I’ve read that has footnotes to the footnotes—immensely amusing footnotes. While reading this book, I feel constantly in the presence of insane genius. (But please read this book on physical paper. It is a work of art.)

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.

Thomasina’s musings in Arcadia lead us naturally to Nova Jacobs’ entertaining mystery: the titular equation is closely linked to Thomasina’s ‘theory of everything’ (in fact, a quote from Arcadia opens one of Jacobs’ chapters). When Isaac suddenly dies of an apparent suicide, his adoptive granddaughter Hazel is left to follow his enigmatic clues to discover where Isaac has hidden the equation he spent the last years of his life working on, what exactly it calculates, and who else is after it. 

The best thing about this book is the Severy family, a bunch of mathematicians and theoretical physicists living in a hilariously drawn world of academic pettiness, demanding PhD students, dry periods that seem like they might never end, judgmental relatives, and disappointingly un-academic offspring. Sounds just like our family!

I was amazed at how a complete outsider, Srinivasa Ramanujan, who grew up in relative poverty, could rise to the highest levels of the British academic world through the sheer force of his intellectual genius.

How could this self-taught mathematical prodigy, elected a Fellow of the Royal Society, one of the youngest to win that honor and only the second Indian, make such extraordinary contributions to several areas of mathematics? How lucky for humanity that he was discovered and, though sickly, brought to England!

How many more contributions could he have made had he not died at age 32? How many undiscovered geniuses, hidden in remote corners of the world, have never realized their extraordinary potential?

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.