Do you love football, marvel at Beckham's perfect swerving free kicks and find formations fascinating? Or do you love science, and want to find out how aerodynamics affects a ball in flight and discover the insights statistical analysis of real-life data can give?
What makes numbers interesting? The subtitle of this beautiful book is the motivation, map, and message of its 188-page journey from zero to infinity. With concise insight, Reid takes the digits from 0 to 9 as chapter titles and starting points of voyages into the history and deep concepts of modern mathematics.
One of the things I enjoy most about biographies of mathematicians is the presentation of mathematics as a very human endeavour. Despite the sometimes abstract nature of mathematics, we see in this biography of Kurt Gödel that it is a very human activity pursued by people within a deeply connected community, but each with their own vision of truth.
Throughout history, millions have been won and lost on the stock market: lost in the Wall Street Crash of 1929, won in the Dot-Com Boom of the 1990s. We all know that playing on the markets is a dicey game, but after decades of research we now have a better understanding of the way markets work. Or do we? According to Benoît Mandelbrot, modern financial theory is based on unrealistic assumptions that need a complete re-think.
'If I had to describe this book using just one word, then this word would be "passionate". This may be surprising seeing that we are dealing with maths, or, to be precise, metamaths, the study of mathematical truth. But this book is as much about the author's love for his subject as it is about the maths itself, and this love shines through on every page. Chaitin doesn't just describe his mathematical ideas to you, he also tells you where he was when he had them, how it felt having them, and about the mysterious creative processes that are involved.
Cartoons can help to bring down governments, but can they help to revolutionise science? This seems to be the hope of Robert Laughlin, whose book on the exciting field of emergence is littered with his hand-drawn cartoons. His Nobel Prize in physics has given him the confidence to share his art and to hope that his cartoons help to explain how science can be revolutionised, or "re-invented". But what is this Different Universe, to what extent is it a reinvention, and how well does Laughlin set out his case?
The topic of this book - the Banach-Tarski Paradox - is a result so strange and counterintuitive that the author says he didn't believe it when he first saw it. The "paradox" - in fact an impeccable mathematical theorem - says that a small sphere, for example a pea, can be cut into as few as five pieces which can then be reassembled so as to make a far bigger sphere, for example the sun.
Over the last few years there has been a rush of 'The Science of ...' books - popular science titles written to tie in with the recent release of a popular film or book. These include: The Science of The X-files, The Science of Star Wars, The Science of Superheroes, The Science of Supervillains, The Science of Discworld (volumes I, II and III), and The Science of Harry Potter. And into this fray now strides Michael Hanlon with his own offering to the genre.
Anyone who has ever tried to analyse a game mathematically knows that things can get very complicated very quickly. In a game like chess, the number of possibilities for just the first three moves is already enormous, while, in poker, the roles played by chance, strategy and psychology seem to be mysteriously interlinked.
The author of this book is Statistics Editor of the Financial Times, the only newspaper in Britain to employ someone with this job title. He is therefore uniquely well placed to write this fascinating and timely book, which sets out to provide a fact-based picture of the society we live in.