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Simon Singh - Books

Fermat's Last Theorem (Fermat's Enigma)

 

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Just as the US publishers of Harry Potter and the Philosopher's Stone reckoned the US public couldn't cope with the word 'philosopher' and changed the title, this is called Fermat's Enigma in the US (it could also be because of another book of the same name by Amir Aczel). But crazy assumptions from publishers apart, it's the superb story of a bizarre little problem that no one could solve until the ever-wily mathematician Fermat scribbled in a margin that he had a wonderful solution, only there wasn't room to write it down.

Fermat may well have been boasting, but it threw down a gauntlet to hundreds of mathematicians who were to follow until it was finally achieved in the 20th century. Don't worry if the maths doesn't interest you - the story will, both in its historical context and in the insight into the work and nature of modern mathematicians.

In some ways the star of the book is Andrew Wiles, the British Mathematician who pretty well single-handedly cracked the problem with an unusual level of secrecy, rather than the typical sharing approach of the profession. But equally it's Fermat himself.

Whether or not Fermat actually had a solution is a moot point - but he certainly didn't have Wiles' complex approach. In fact it seems so difficult to come up with a straightforward solution to this problem that Fermat has to be more than a little doubted.

Like all the best popular science books - and this certainly is one of the best - it brings in a whole range of extras historically and mathematically to add to the fascinating cast. What can I say? Buy it!

 

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"Singh judges to perfection the level of detail needed to grasp the magnitude of Wiles's achievement - the fascination of pure mathematics has never been more effectively conveyed to the general readership." Daily Telegraph

"Number theory is one of the most abstruse parts of mathematics. But Simon Singh succeeds in telling perhaps its most famous story. Without technicalities, he gets across the intellectual excitement of the chase to crack Fermat's last theorem. This is remarkable if you consider that only a handful of mathematicians understood all the techniques that Andrew Wiles, a British mathematician, used to solve the puzzle, 360 years or so after Pierre de Fermat had scribbled in a book margin that he had an ingenious proof. Mr Singh traces previous attempts to prove the conjecture, leading up to Mr Wiles's eight-year near-solitary assault, while introducing number theory's elegant mysteries and neatly sketching the lives of some of its best practitioners." Economist

"Singh has written a compelling account of the human achievement. Death, suicides, a duel over a woman, they're all here - along with the agonising story of how Wiles discovered that his celebrated 'proof' was faulty, and how he struggled to find the correct solution that would save his tarnished reputation." Focus

"This is probably the best popular account of a scientific topic I have ever read." Irish Times

"It is a magnificent story, one told with infectious enthusiasm. If you enjoyed Dava Sobel's Longitude, you will enjoy this." Evening Standard

"This is an unambiguously terrific book. There are enough mind-boggling stories in here to inspire three good novels, and it can be understood by anyone with a grade C or better in maths O-level. A qualification, I hardly need add, that Pierre de Fermat himself did not even posses." Guardian

"To read it [Fermat's Last Theorem] is to realise that there is a world of beauty and intellectual challenge that is denied to 99.9 per cent of us who are not high-level mathematicians. For opening the window to that world even partially, Singh deserves congratulation." The Times

"Singh is a populariser of enormous talent, evincing infectious passion for the subject. His approach to the historical pedigree of the problem is novelistically readable, but a tasty clutch of appendices enable the adventurous reader to get to grips with important concepts in induction, game theory, topology and the foundations of arithmetic." Guardian

Far from being a dry textbook it reads like the chronicle of an obsessive love affair. It has the classic ingredients that Hollywood would recognise.  The Daily Mail

Vividly recounted...I strongly recommend this book to anyone wishing to catch a glimpse of what is one of the most important and ill-understood, but oldest, cultural activities of humanity...an excellent and very worthwhile account of one of the most dramatic and moving events of the century. The New York Times Book Review

How great a riddle was Fermat's last theorem? The exploration of space, the splitting of the atom, the discovery of DNA--unthinkable in Fermat's time--all were achieved while his Pythagorean proof still remained elusive...Though [Singh] may not ask us to bring too much algebra to the table, he does expect us to appreciate a good detective story. The Boston Sunday Globe

It is hard to imagine a more informative or gripping account of...this centuries-long drama of ingenious failures, crushed hopes, fatal duels, and suicides. The Wall Street Journal

[Singh] writes with graceful knowledgeability of the esoteric and esthetic appeal of mathematics through the ages, and especially of the mystifying behavior of numbers. The New York Times

[Singh] has done an admirable job with an extremely difficult subject. He has also done mathematics a great service by conveying the passion and drama that have carried Fermat's Last Theorem aloft as the most celebrated mathematics problem of the last four centuries. American Mathematical Society

The amazing achievement of Singh's book is that it actually makes the logic of the modern proof understandable to the nonspecialist...More important, Singh shows why it is significant that this problem should have been solved. The Christian Science Monitor

The Code Book

 

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Not in quite the same class as Singh's definitive Fermat's Last Theorem, but still a fascinating survey of the history of code making from the earliest days, through the wartime Enigma machines to the present day complexity of 128 bit encryption.

The great thing about the book is probably not the mathematical complexity of modern codes and ciphers but the very human studies of the use and need to transmit secret messages, from the ancient Greeks writing on a messengers bald head, then waiting for the hair to regrow, through the cipher that doomed Mary Queen of Scots to the race to crack the World War II Enigma machines.

One of Simon Singh's great strengths is being able to get across complex principles in a way that the everyday reader doesn't find intimidating. This shines through in The Code Book I don't know if recent editions have the rather cringe-making 'cipher challenge' in the back - we can but hope this has disappeared by now - but this shouldn't put anyone off.

Whatever your mathematical level or inclination, this book is likely to have something to offer.

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Last update 05 June 2007