Books like Symmetry — picked by fans

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.

It provides an engaging description of the work that went into proving a famous result, first mentioned by the French mathematician Pierre de Fermat in the margin of a book.

The question was whether a sum of two nth powers of whole numbers could be the nth power of a whole number. It is certainly true for n = 2 but was not known for any n greater than 2. Fermat thought he had a proof that this was the case but later wrote proofs when n was 3 or 4, so his earlier claim was not taken seriously.

The general result turned out to be much harder than anyone imagined, and 350 years later, its truth was implied by another conjecture that was finally proved by Andrew Wiles, as this book explains. I admire the fact that the author distills some essential points from what turned out to be… show more.

This unique book presents stories about mathematics, such as The Young Archimedes by Aldous Huxley and Peter Learns Arithmetic by H. G. Wells. It and its sequel are a mine of fascinating short stories.

It's well worth keeping and rereading. I found both it and its sequel fun to read.

This book presents excerpts from original contributions to mathematics by scholars of the past. It includes principal developments from Neolithic times, from Mesopotamia, and from the ancient Greeks, right up to the modern world.

The extensive and well-chosen quotations make this a unique book. I found the excerpts from original sources rendered it a mine of valuable information for me or anyone else interested in the long history of mathematics.

This book is a brilliant interweaving of politics, history, and intrigue, with characters living ordinary lives, described in the spirit of a Russian novel. With one story threading into another, the book moves us forwards. We fly over the tall mountains, misty valleys, and green fields of current abstract maths and fundamental physics to witness the true beauties of truth. And in the end, Stewart confesses: “No one could have predicted that a pedantic question about equations could reveal the deep structure of the physical world, but that is exactly what's happened.”

As with many of Stewart’s books, Why Beauty is Truth is a joy to read. It brings us through current material with ease of understanding and out oversimplifying. I love the way Stewart uses tangible examples to describe the fundamental forces of nature as he escorts us with clarity through so many eloquent connections between mathematics and physics.… show more.

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.

Polya was a great mathematician who knew what counted (after all, he made major contributions to combinatorics, the mathematics of counting). He thought hard about what he was doing when working on problems in mathematics, developing a mental process that lead to creative breakthroughs and solutions. Polya’s problem-solving method is broadly applicable to domains other than mathematics, and this book features many nice puzzles to improve your thinking.

Algorithm design is challenging because it often requires flashes of sudden insight which seem to come out of the blue. But there is a way of thinking about problems that make such flashes more likely to happen. I try to teach this thought process in my books, but Polya got there first.

This adorable picture book by Rajani LaRocca and illustrated by Chaaya Prabhat is about a girl named Bina who wants to make bracelets for her brothers for Raksha Bandhan, a Hindu holiday. Through this sweet story, the book explores patterns and sequences, introducing kids to math concepts in a fun and playful way.

This book has haunted me for years. For what is it, exactly, that gives it such enduring popularity? After all, it was first published in 1936, yet is still in print today. In his autobiography, Hogben remarks on the importance of eye-catching illustrations but speculates that its success may instead be because the book contains – most unusually for a 'popular' work – exercises and answers, making it more suitable for self-teaching. Whatever the real answer, his book must surely have something to teach anyone – like myself – who aspires to bring mainstream mathematics to life for the general public.

The author shows how our inability to deal rationally with data results in misinformed governmental policies, muddled personal decisions, and a heightened vulnerability to accepting baseless conclusions.

With examples from drug testing and sex discrimination to law and relative risk, and everything in between, the reader is shown how understanding numbers can improve society as a whole as well as better individual lives. I’ve handed out copies of this book to my students, friends, and academic associates.