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Fermat’s Last Theorem Paperback – 7 May 1998
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The extraordinary story of the solving of a puzzle that has confounded mathematicians since the 17th century. The solution of Fermat’s Last Theorem is the most important mathematical development of the 20th century.
In 1963 a schoolboy browsing in his local library stumbled across the world’s greatest mathematical problem: Fermat’s Last Theorem, a puzzle that every child can understand but which has baffled mathematicians for over 300 years. Aged just ten, Andrew Wiles dreamed that he would crack it. Wiles’s lifelong obsession with a seemingly simple challenge set by a long-dead Frenchman is an emotional tale of sacrifice and extraordinary determination. In the end, Wiles was forced to work in secrecy and isolation for seven years, harnessing all the power of modern maths to achieve his childhood dream. Many before him had tried and failed, including a 18-century philanderer who was killed in a duel. An 18-century Frenchwoman made a major breakthrough in solving the riddle, but she had to attend maths lectures at the Ecole Polytechnique disguised as a man since women were forbidden entry to the school. A remarkable story of human endeavour and intellectual brilliance over three centuries, Fermat ‘s Last Theorem will fascinate both specialist and general readers.
- Print length384 pages
- LanguageEnglish
- PublisherFourth Estate
- Publication date7 May 1998
- ISBN-101857026691
- ISBN-13978-1857026696
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Product description
From the Back Cover
'I have discovered a truly marvellous proof, which this margin is too narrow to contain…'
With these tantalising words the seventeenth-century French mathematician Pierre de Fermat threw down the gauntlet to future generations. Fermat's last theorem looked simple enough for a child to solve, yet the finest mathematical minds would be baffled by the search for the proof.
Over three hundred and fifty years were to pass before a mild-mannered Englishman finally cracked the mystery in 1995. Fermat by then was far more than a theorem . Whole lives had been devoted to the quest for a solution. There was Sophie Germain, who had to take on the identity of a man to conduct research in a field forbidden to females. The dashing Evariste Galois scribbled down the results of his research deep into the night before sauntering out to die in a duel. The Japanese genius Yutaka Taniuama killed himself in despair, while the German industrialist Paul Wolfskehl claimed Fermat had saved him from suicide.
Andrew Wiles had dreamed of proving Fermat ever since he first read about the theorem as a boy of ten in his local library. Whilst the hopes of others had been dashed, his dream was destined to come true – but only after years of toil and frustration, of exhilarating breakthrough and crashing disappointment. The true story of how mathematics' most challenging problem was made to yield up its secrets is a thrilling tale of endurance, ingenuity and inspiration.
About the Author
Since 1991 Simon Singh has been writing, directing and producing for the BBC Science department. In the past he has produced the weekly magazine programme ‘Tomorrow’s World’ . He directed the ‘Horizon’ about Andrew Wiles and his obsessive solving of Fermat’s Last Theorem. He completed his PhD at Cambridge in 1990.
Product details
- Publisher : Fourth Estate; New edition (7 May 1998)
- Language : English
- Paperback : 384 pages
- ISBN-10 : 1857026691
- ISBN-13 : 978-1857026696
- Best Sellers Rank: 3,675,182 in Books (See Top 100 in Books)
- 2,412 in Popular Mathematical Theory
- 6,375 in Popular Maths
- 147,425 in Popular Science
- Customer reviews:
About the author

Simon Singh is a science journalist and TV producer. Having completed his PhD at Cambridge he worked from 1991 to 1997 at the BBC producing Tomorrow's World and co-directing the BAFTA award-winning documentary Fermat's Last Theorem for the Horizon series. He is the author of Fermat's Last Theorem, which was a no 1 bestseller in Britain and translated into 22 languages. In 1999, he wrote The Code Book which was also an international bestseller and the basis for the Channel 4 series The Science of Secrecy.
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The issue for the author is how to make a book about really, really hard sums, comparatively easy for the casual reader to understand. Singh takes on this task immensely well, keeping the truly difficult equations in the appendix, whilst having in the main text only the essential formulas. This keeps the book highly readable and the story moving at a good pace. Singh does a great job in bringing out the personalities of those involved in this historical adventure, as well as giving us a history of various mathematical concepts.
It might seem a little daunting or dry on the face of it but this is indeed very much an adventure book written for the mass market. Simon Singh writes in a way that never feels like he is talking down to the reader while attempting to explain some frankly baffling mathematical concept (there are also a few illustrations along the way that help explain things). A mathematical non-fiction historical adventure is an unusual genre but Singh writes very smoothly for a mathematician himself and has produced a very entertaining book.
I admit I did already know some of the details given in this book, but the history and the description of the characters in the world of mathematics added an extra dimension (no pun intended!) and made it all the more fascinating. Names like Euler, Dirichlet, Cauchy, LaGrange ... before I read the book they had merely been names of equations, polynomials, boundary conditions and the like, but the author gave us some fascinating details of their lives, what type of people they were (I've gone off Cauchy now, and I so loved his polynomials) and even the interactions that went on among some of these famous names.
And I loved the description of Wiles's "Eureka" moment when he realises he's finally got the proof ... it must have been like solving the world's most difficult crossword clue!
I don't know whether to go straight back and read the whole thing again, or lend it to a friend and share the experience.
On reflection, my friends can buy their own copy.
Fermat's last theorem remained unsolved for 358 years and the path to its proof was paved by the creation of new forms of mathematics, distressing stories of persecution and suicides and a lot of perseverance.
Most of the maths was over my head but the fascinating world of mathematics and its rigorous proofs means that I was left desperately wanting to improve my maths to a higher level, it makes me wonder at how much of a shame it is that a lifetime isn't long enough to truly engage in all the great fields of knowledge.
I cannot recommend this book enough, it should be read by all those children who are on the verge of dropping maths before taking A level.
However it could have delved deeper into some of the maths, such as the early discoveries of proofs of the equation for n=4 (no solutions - due to Fermat himself) and n=3 (no solutions either - Euler), which require high school mathematics mostly, and the proofs for many primes (due to Kummer, showing no solutions for many primes, and undecided for some primes).
The book also over-emphasizes the role of the non-entity Bertrand Russell in the development of maths, and over-stresses the role of Alan Turing (who had really nothing whatsoever to do with Fermat's theorem). A typical British belly-staring contest.
It is also terribly short on Fermat's other work on numbers, which would have been a nice historic perspective on this remarkable, although overrated mathematician, and on Pythagoros (for n=2), where it fails to list the well-known algorithm to recover ALL solutions. The book just indicates a few sample solutions for n=2 in an appendix, but by no means all. The algorithm to recover all solutions to n=2 is standard in all good books and again, requires high school mathematics only, so it could have been appended.
There is also a lot of story-telling on Evariste Galois, but just about nothing on his mathematics. Therefore there is really nothing of any consequence on Andrew Wiles' actual work.
I feel Simon Singh could have put more mathematics in notes or in Appendices and that would have been interesting and useful to the mathematically trained readers - which will make up the bulk of the readers of this sort of book. A missed opportunity here.
However, on the whole, Simon Singh writes well, and therefore 3 stars. Despite my comments, I intend to read Singh's book on cryptography, although without too much expectation on the mathematical front.
I generally enjoyed re-reading the book, but scored it low due to poorly reproduced equations and missing chapters (in the Kindle version).
The equations in the Kindle version are so small they're unreadable. There's a zoom-in option but it isn't available for all of the equations when I use my Kindle (basic model). The zoom option does seem to be available for all equations when I use my phone's Kindle app. So, I have the option of switching devices to read the equations, but that's a real pain.
I believe there are chapters missing in the Kindle version that were in the paperback. I'm sure there was a chapter on the use of computers for proving theorems, including the 4 colour map theorem (this may have been left out due to the lack of colour in basic Kindles). Also, there was a chapter (or appendix?) on other theorems that had yet to be proved.
So, the Kindle version hasn't fully replaced the paperback.
If decisions were made to leave things out of the Kindle version, then it would have been good to have known this before I bought it. I might have to buy the paperback again, which would make the Kindle version a complete waste of money.
I first read this borrowed from someone else, and ended up buying two books: one for me (for me to have, as i liked so much), and to a friend (who I know also likes maths).
As for Wiles's proof. If Fermat had a proof it was not the same as Wiles produced. For one thing he did not have a computer to prove the last few difficult cases. For another he claimed that his proof was "elegant". Wiles's proof may be correct, and it is a mathematical tour de force, but it is anything but elegant.
However, I hold the irreverent and politically incorrect belief that Fermat did not actually have a proof, but that his intuition told him that his conjecture was true.
It reads like an episode of the BBC's "Horizon", indeed, the author worked on the show that featured this very subject. Of course, there is far more detail in here.
Singh shares Simon Schamas ability to take historical, factual subjects, and make them read like novelisations, its not just a list of events and formulae, but a history of the people involved in trying to find the solution to Fermat's Last Theorem.
There are seom excellent examples of the theory along the journey in the appendices, and whilst some of the theory takes a little thinking to get your head round, it is well explained. Of course, don't expect the solution to the problem itself to be written here, one would have to be one of the world foremost Mathematicians to understand it, So Singh explains the method behind the solution rather than explictly telling us what it is.
It's not often the phrase "a real page turner" is applied to books regarding Maths, but the term was never more apt that when applied here.
I particularly liked the first half with its fascinating descriptions of the ancients and their contributions to this problem as well as a few insightful and interesting early proofs along the way.
I've given it 4 stars because I thought the second half was a little dry and prone to lots of repetition. The term 'modular forms' is so fundamental to understanding the eventual proof of Fermats theorem but to me was inadequately explained so I ended up feeling like I'd missed a major plot twist. Frustratingly Singh repeats again and again that if it could only be shown that 'the first e series for elliptical equations can be perfectly matched with the first m series for modular forms
For the mathematicians out there this is a great book to use as a show of interest towards mathematics when applying for universities, do not write it as an academic read.
Woven through is the story of Andrew Wiley’s inspiring commitment to finding a proof of Fermat’s last theorem. Talk about tenacious.
I was reading the page where he made it, (I was on the bus.) and filled up. Was so uplifting. Heroic endeavor manifests in so many ways. Bravo Andrew; and to Simon for his erudite, accessible, informative read.
concepts was not the author's fault and did not diminish the pleasure in reading this very fine book.








