From Thales’s theorem to the Banach-Tarski paradox, Oxford mathematician David Acheson’s book, The Wonder Book of Geometry, is a lively attempt to bring to life geometry—literally, ‘earth measurement’—and make it accessible to the general public. Here, David recommends some of the books that influenced him, “in the order in which I met them, over a timespan of some 60 years.”

Ada Lovelace has become an iconic figure for women in science and is often credited with the invention of modern computing. But, as Ursula Martin—mathematician, computer scientist and Lovelace biographer—explains, all of that is a bit overblown. The Lovelace myth obscures the truth about a woman who was certainly a very brilliant mathematician, but who was also often frustrated in her scientific ambitions, in poor health and unhappy.

From complex techniques only used by academic statisticians, data science has risen to extreme popularity in only a few years. Roger D. Peng, Professor of Biostatistics at Johns Hopkins University and founder of one of the largest data science online courses, helps us understand this discipline and recommends the five best books to delve into it.

Data science is often said to be built on three pillars: domain expertise, statistics, and programming. Hadley Wickham, Chief Scientist at RStudio and creator of many packages for the R programming language, chooses the best books to help aspiring data scientists build solid computer science fundamentals.

Why should we be interested in the history of mathematics? Mathematics, like painting, music, literature, has a long history, says Robin Wilson. Indeed, it’s longer than most, since the first writing is believed to be numerical. Mathematics is also multicultural, with its historical origins in Africa, the Middle East and Asia.

It can be used to understand everything from bedbugs to traffic jams and helps us take photos and fly planes. Maths professor and author Nick Higham picks five books that show the many wonders of applied maths.

Blaming “the quants” for the 2008 financial crisis is simplistic and short-sighted, says the author of The Physics of Wall Street. He picks five books showing the contribution physics has made to understanding financial markets.

What is the best way to teach maths? Maths teacher and author Alf Coles recommends books that offer some clues.

The professor of quantum information theory at Oxford tells us about books that successfully popularise quantum physics and the science of complex systems. Look, no equations!

The author of Alex’s Adventures in Numberland tells us about popular attempts to explain the history of counting and numbers. He chooses the best books to read about maths.

The Oxford professor tells us how he finds beauty in maths, and why his ultimate aim is to become a master of the glass bead game.

From mathematical card tricks to an arrangement of interlocking pentagons previously thought impossible, the maths writer explains why solutions to maths problems can be as beautiful as paintings or sculpture

Every statistic is the result of someone’s work, and we’d do well to ask ourselves why it was created. That way, says the statistician, we have a better chance of working out when dangers are being overstated and data misused

Award-winning statistician and political scientist Andrew Gelman says that uncertainty is an important part of life, and recognition of that uncertainty is itself an important step. He picks the best books on statistics.

Former UNESCO Professor of Maths and Economics at Columbia University selects five intriguing books on catastophic risks, making statistical decisions and reasoned gambling