Product Description

xⁿ + yⁿ = zⁿ, where n represents 3, 4, 5, ...no solution

"I have discovered a truly marvelous demonstration of this proposition which this margin is too narrow to contain."

With these words, the seventeenth-century French mathematician Pierre de Fermat threw down the gauntlet to future generations. What came to be known as Fermat's Last Theorem looked simple; proving it, however, became the Holy Grail of mathematics, baffling its finest minds for more than 350 years. In Fermat's Enigma--based on the author's award-winning documentary film, which aired on PBS's "Nova"--Simon Singh tells the astonishingly entertaining story of the pursuit of that grail, and the lives that were devoted to, sacrificed for, and saved by it. Here is a mesmerizing tale of heartbreak and mastery that will forever change your feelings about mathematics.

Product Details

• Amazon Sales Rank: #26648 in Books
• Published on: 1998-09-08
• Released on: 1998-09-08
• Original language: English
• Number of items: 1
• Binding: Paperback
• 336 pages

Features

• ISBN13: 9780385493628
• Condition: NEW
• Notes: Brand New from Publisher. No Remainder Mark.
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Amazon.com Review
When Andrew Wiles of Princeton University announced a solution of Fermat's last theorem in 1993, it electrified the world of mathematics. After a flaw was discovered in the proof, Wiles had to work for another year--he had already labored in solitude for seven years--to establish that he had solved the 350-year-old problem. Simon Singh's book is a lively, comprehensible explanation of Wiles's work and of the star-, trauma-, and wacko-studded history of Fermat's last theorem. Fermat's Enigma contains some problems that offer a taste of the math, but it also includes limericks to give a feeling for the goofy side of mathematicians.

From School Library Journal
YAAThe riveting story of a mathematical problem that sprang from the study of the Pythagorean theorem developed in ancient Greece. The book follows mathematicians and scientists throughout history as they searched for new mathematical truths. In the 17th century, a French judicial assistant and amateur mathematician, Pierre De Fermat, produced many brilliant ideas in the field of number theory. The Greeks were aware of many whole number solutions to the Pythagorean theorem, where the sum of two perfect squares is a perfect square. Fermat stated that no whole number solutions exist if higher powers replace the squares in this equation. He left a message in the margin of a notebook that he had a proof, but that there was insufficient space there to write it down. His note was found posthumously, but the solution remained a mystery for 350 years. Finally, after working in isolation for eight years, Andrew Wiles, a young British mathematician at Princeton University, published a proof in 1995. Although this famous question has been resolved, many more remain unsolved, and new problems continually arise to challenge modern minds. This vivid account is fascinating reading for anyone interested in mathematics, its history, and the passionate quest for solutions to unsolved riddles. The book includes 19 black-and-white photos of mathematicians and occasional sketches of ancient mathematicians as well as diagrams of formulas. The illustrations help to humanize the subject and add to the readability.APenny Stevens, Centreville Regional Library, Centreville, VA
Copyright 1998 Reed Business Information, Inc.

From Library Journal
For over 350 years, despite the efforts of many ingenious mathematicians, the postulate known as Fermat's Last Theorem remained unproven. It seemed that the 1993 solution proposed by Princeton professor Andrew Wiles would become another casualty until he rescued it with a brilliant insight. Singh, a physicist who also directed a documentary film on this topic, relates the theorem's story over 2500 years, moving from ancient Greece, where it was first conceived, to its recent, triumphant solution. Through his engaging renderings of the mathematicians who took on Fermat's challenge over the years, the author captures the joys and frustrations of this quest for an extremely elusive proof. Readers with a high school-level knowledge of number theory will have no trouble following the text. Comparatively, Amir Aczel's Fermat's Last Theorem (LJ 10/15/96) is more concise (it can be read in two hours) and somewhat easier to understand, but Singh's book has more perspective and builds to a truly engrossing climax. It's a mathematical page-turner.?Gregg Sapp, Univ. of Miami Lib., Coral Gables, Fla.
Copyright 1997 Reed Business Information, Inc.

Customer Reviews

A fantastic trip through mathematics and history
After enjoying Singh's "The Code Book" I picked up a copy of Fermat's Enigma. The problem itself was somewhat interesting to me, but I hoped Singh presentation of the story would be as good as "The Code Book". I wasn't disappointed. The solution to the problem is wrapped in a compelling story that takes you through the history of mathematics, starting before Fermat's time. Along the way Singh takes time to point out both the highlights and tragedies of mathematics, while weaving in elements of Andrew Wiles' life.

While the math behind the final solution to be problem may be out of reach for most people, Singh successfully communicates the essence of the mathematics used. The book is not complex or saturated with equations and is accessible to just about anyone. For those more interested in the mathematics, Singh includes a complete set of appendices containing problems and proofs from each era of mathematics he discusses.

All in all, a great read. Highly recommended.

An engrossing page turner for the mathematically inclined
Wow! I just finished this one and was sad to see it end. The writing is so compelling that I had to stay up to finish it in one sitting. If you are not familiar with Fermat's Last Theorem and why it is such a "big deal", let me just tantalize you by saying that it is basically a "generalized" version of the Pythagorean theorem (the one involving right triangles, which you have surely seen if you have ever taken trigonometry in high school), although it asserts that higher forms of the Pythagorean-style equation are unsolvable.

Singh gives an exquisitely detailed history of the problem going all the way back to its ancient Greek roots (i.e. Pythagoras), proceeds through numerous failed attempts to solve Fermat's challenging theorem by the great mathematicians that succeeded him, and finally concludes with the (initially uncertain) triumph of Andrew Wiles, who posessed the genius to prove the Taniyama-Shimura conjecture (which implies the truth of FLT) and solidify a previously precarious bridge to vast new mathematical wonderlands.

If you enjoyed mathematics at some point in your life and think that interest may still be lingering within you, then you may want to get this one fast - your curiousity and admiration will be revived. One of the best mathematical popularizations around, and an historic scientific/intellectual achievement supremely documented.

Superb combination of historical progress and modern drama.
As an undergraduate math major in the late 1970's, I remember how my algebra professor used to chuckle that anyone who solved the Fermat conjecture would get an "A" in his course. (Some of us got A's anyway.) So I had to pick up a copy of this book when I saw it, and I couldn't put it down until I finished it.

Singh does a wonderful job of intertwining the history of Andrew Wiles' life-long fascination with the Fermat conjecture with the history of attempts to solve the problem through the centuries. The necessity for Euler to introduce complex variables into his solution for the case n = 3 gives the first indication that Fermat was probably toying with (ultimately) many generations of mathematicians who would never find a proof that could "fit neatly in the margin" of a page. While it takes a fairly broad background in mathematics to appreciate the book, one does not need to be a specialist in algebraic number theory to follow Singh's historical development of the progress toward final solution.

The description of Wiles' attempt to keep his work secret, and of the inadequacy of his first attempt at proof, reads like a first-rate cliffhanger. A splendid read.