100 books like Alan Turing's Manchester

My second choice relates more subtly to Turing’s sudden end in 1954. In 1955, Turing’s colleague Max Newman gave a talk on logic in his honour. This greatly impressed a student, Roger Penrose, who was also studying the quantum mechanics and relativity that had first fascinated the young Turing. Years later, Penrose announced an astonishing thesis relating logic and physics. This book explains the theory he developed. It claims that the brain must exploit quantum-mechanical physics that no computer can emulate. Turing famously promoted the prospects for computer-based Artificial Intelligence, but he would have taken this anti-AI thesis more seriously than any other argument: it takes up his own interests and develops his own kind of thinking. 

Penrose’s books are not about science, they are actually doing scientific thinking. His humour and wonderful pictures enhance the direct personal engagement. The theory is highly controversial but has set a remarkable twenty-first-century… show more.

Ray Monk has, like me, been drawn to the idea of a linear biographical narrative fusing life and work together. My third pick is his biography of the American physicist Robert Oppenheimer. This is a fascinating story parallel to Turing’s. The Second World War brought both of them, hitherto pure researchers, to intense and crucial involvement in the world’s affairs. Nuclear weapons for Oppenheimer were what codebreaking was for Turing. Afterward, both were at odds with the governments they had empowered.

When in 1953 Turing wrote ‘I detest America’ he might well have been reacting to the McCarthy period in which Oppenheimer was attacked. But Ray Monk treats Oppenheimer’s pure scientific work as seriously as the political story. Oppenheimer’s 1939 paper on black holes was the background to Penrose’s 1965 paper cited in the Nobel physics prize of 2020. These dates illustrate the deep and decades-spanning connections that are involved… show more.

My fourth pick is another biography, of the economist John Maynard Keynes. Richard Davenport-Hines has divided up his account into ‘seven lives’. Yet by taking his personal life and sexual identity seriously, Davenport-Hines achieves an outstanding unification. Seriousness is not solemnity: readers will find here a delightful story about Keynes admiring Alan Turing’s fingernails at King’s College, Cambridge. There is much more to illustrate the extraordinary King’s College ambiance in which Turing found his home, and deeper connections: in late 1946, both were crossing the Atlantic, Keynes to rescue the British economy, Turing on his start-up of the computer industry. Keynesian economics are newly relevant now, but the liberal élite culture in which it was hatched may still surprise readers. When Turing started war work at Bletchley Park, he wrote to Keynes’s circle that Dillwyn Knox was ‘his boss’. Did he know, as Richard Davenport-Hines explains, that Knox had been… show more.

A primary reason to love math is because of its usefulness. This book shows two sides of math’s applicability, since it is so ubiquitously used in various algorithms.

On the one hand, such usage can be good, because statistical inferences can make our life easier and enrich it. On the other, when these are not properly designed or monitored, it can lead to catastrophic consequences. Mathematics is a powerful force, as powerful as wind or fire, and needs to be harnessed just as carefully.

Cathy O’Neil’s message in this book spoke deeply to me, reminding me that I need to be always vigilant about the subject I love not being deployed carelessly.  

This is a book that is at once a biography, a testament to human genius in the face of imminent danger, and a story of human injustice. Alan Turing had an idea about a ‘universal machine’. A machine, when built at Bletchley Park, allowed the Allies in World War II to crack the German Enigma ciphers. This universal machine laid the foundations for modern computing and all the amazing advances we enjoy today. But at a price for Turing, he fought inner demons about his homosexuality and eventually paid the ultimate price.

I marveled at his genius, cheered his cryptographic successes with each cipher cracked, shouted against the tragedy of his arrest, cried at his untimely death. A death at his own hand at the age of 41. The world lost a genius due to a society’s labelling of homosexuality as a crime.

We still live in this world of… 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.

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.)

Picture books are a unique genre because there are really three people who participate in telling the story – the author, the illustrator, and the children who are reading and/or listening. With each page turn, ADA Byron Lovelace and the Thinking Machine brings us to another time and allows us to become part of that history – a time before computers and other electronic devices proliferated our lives and before women in science were accepted. The lush illustrations and the lyrical text capture my heart each time I read this book, and I love how we get a small peek into the life of the main character’s famous parents, Lord Byron, and Lady Anne Isabella Milbanke.

The daughter of a poet and a scientific mother, Ada is shown growing up in the early 1800s with both imagination and a bent toward math. As a girl, she dreams of building a steam-powered flying horse. She’s fascinated by machines and eager to tour factories. Seeing how cards are used to set patterns for cloth on looms inspires her to create the first computer program. Whimsical illustrations adorn clear explanations of calculations. At the book’s end we see Ada in red-striped stockings and green goggles flying over symbols of some of what her ideas will bring to the world.

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).