100 books like The Three Body Problem

This play is a total delight. Read it, of course, and then if it ever comes to a theatre anywhere near you, go see it!

It’s set in 1809 and the present-ish day, and features exuberant mathematical prodigy Thomasina Coverly, who definitely isn’t meant to be Ada Lovelace, says Tom Stoppard (but maybe she is a bit).

The dialogue is like the most invigorating dinner party conversation you ever had: it’s funny, it’s clever, it references fractals, Fermat’s Last Theorem, the silly competitiveness of academia, Lord Byron, landscape gardening, and a million other things. I love it. 

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!

This book loves to pretend to be a Raymond Chandler type thriller with a hard-boiled detective, but what might be a stereotype is offset by the detective's past and his personal struggle with depression, as well as a romantic interest in his client, an attractive female mathematician who hires him to figure out why three different mathematicians she contacted about the exact same topic have all died recently.  

Pieces are gathered and put together bit by bit to form a well-balanced mystery complete with false leads and a twist at the end. What makes this novel quite unique is the place given to the actual mathematics of fractals, with enough explanation to communicate not only their fascinating nature but also several applications, much of which is even relevant to the mystery. Best of all is the accurate depiction of the passion of the mathematicians for their subject, their lifestyle, and… show more.

This energetic mystery is populated by a range of extremely colourful characters from reclusive twin brother mathematicians to disreputable biographers and Belarusian Mafiosi, and it has a suitably hapless narrator to guide us through the mess of murder, stolen mathematical documents and unsavoury rumours. 

The final revelation is pretty crude and disappointing but it doesn't matter too much because the book up til there is very great (and very British) fun. There's plenty of mathematical trivia and some discussion of actual maths, including an interesting scene where we get to contrast how two brains - one mathematical and one not - approach a problem.

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 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.

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.

One way of enlivening any presentation of mathematics is by including some history of the subject, but this only really works if there is some serious scholarship behind it. I especially like Hollingdale's book, partly because of the concise writing style, and partly because of the unusually good balance between history and mathematics itself. The calculus, in all its various forms, with some aspects going right back to the Ancient Greeks, is treated especially well.

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).

Many undergraduate mathematics books – even those aimed at new students – are dense, technical, and difficult to read at any sort of speed. This is a natural feature of books in a deductive science, but it can be very discouraging, even for dedicated students. Houston’s book covers many ideas useful at the transition to proof-based mathematics, and he has worked extensively and attentively with students at that stage. Consequently, his book maintains high mathematical integrity and has lots of useful exercises while also being an unusually friendly read.