Notes on Fermat's Last Theorem (Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts) [Hardcover]

Around 1637, the French jurist Pierre de Fermat scribbled in the margin of his copy of the book Arithmetica what came to be known as Fermat′s Last Theorem, the most famous question in mathematical history. Stating that it is impossible to split a cube into two cubes, or a fourth power into two fourth powers, or any higher power into two like powers, but not leaving behind the marvelous proof he claimed to have had, Fermat prompted three and a half centuries of mathematical inquiry which culminated only recently with the proof of the theorem by Andrew Wiles.

This book offers the first serious treatment of Fermat′s Last Theorem since Wiles′s proof. It is based on a series of lectures given by the author to celebrate Wiles′s achievement, with each chapter explaining a separate area of number theory as it pertains to Fermat′s Last Theorem. Together, they provide a concise history of the theorem as well as a brief discussion of Wiles′s proof and its implications. Requiring little more than one year of university mathematics and some interest in formulas, this overview provides many useful tips and cites numerous references for those who desire more mathematical detail.

The book′s most distinctive feature is its easy–to–read, humorous style, complete with examples, anecdotes, and some of the lesser–known mathematics underlying the newly discovered proof. In the author′s own words, the book deals with "serious mathematics without being too serious about it." Alf van der Poorten demystifies mathematical research, offers an intuitive approach to the subject–loosely suggesting various definitions and unexplained facts–and invites the reader to fill in the missing links in some of the mathematical claims.

Entertaining, controversial, even outrageous, this book not only tells us why, in all likelihood, Fermat did not have the proof for his last theorem, it also takes us through historical attempts to crack the theorem, the prizes that were offered along the way, and the consequent motivation for the development of other areas of mathematics. Notes on Fermat′s Last Theorem is invaluable for students of mathematics, and of real interest to those in the physical sciences, engineering, and computer sciences–indeed for anyone who craves a glimpse at this fascinating piece of mathematical history.

An exciting introduction to modern number theory as reflected by the history of Fermat′s Last Theorem

This book displays the unique talents of author Alf van der Poorten in mathematical exposition for mathematicians. Here, mathematics′ most famous question and the ideas underlying its recent solution are presented in a way that appeals to the imagination and leads the reader through related areas of number theory. The first book to focus on Fermat′s Last Theorem since Andrew Wiles presented his celebrated proof, Notes on Fermat′s Last Theorem surveys 350 years of mathematical history in an amusing and intriguing collection of tidbits, anecdotes, footnotes, exercises, references, illustrations, and more.

Proving that mathematics can make for lively reading as well as intriguing thought, this thoroughly accessible treatment

Helps students and professionals develop a background in number theory and provides introductions to the various fields of theory that are touched upon
∗ Offers insight into the exciting world of mathematical research
∗ Covers a number of areas appropriate for classroom use
∗ Assumes only one year of university mathematics background even for the more advanced topics
∗ Explains why Fermat surely did not have the proof to his theorem
∗ Examines the efforts of mathematicians over the centuries to solve the problem
∗ Shows how the pursuit of the theorem contributed to the greater development of mathematics

It's readable even though it's reasonably serious math!

The blurb says: An exciting introduction to number theory as reflected by the history of Fermat's Last Theorem.

By the way. Wiley hasn't been very competent. But they did make the book a beautiful cover. Wiley reprinted the book in early December. I have complained about it seemingly having been out of print.

I can add that the book has been enjoyed both by my mother-in-law [all mathematics omitted] and by Fields Medallists. Here's what some of the 'critics' say:

"The poetry far excels that normally found in math books". Hendrik W Lenstra.
"It sounds just like Alf ...". Win Wheeler (my mother-in-law)
"I love the book. Thanks for writing it. If you're ever in the Cotswolds come and stay". K B MD
"I don't normally write fan letters ...". Walter Feit
"I am now reading --- and enjoying very much --- your 'Notes on FLT' ...". Jean-Pierre Serre
"... it should be bedtime reading for every mathematician". Ram Murty

I think my favourite is Dr Kevin Barraclough's invitation; the Cotswolds are nice.

The blurb next claims:

This book displays the unique talents of author Alfred J van der Poorten in mathematical exposition for mathematicians. Here, mathematics' most famous problem and the ideas underlying its recent solution are presented in a way that appeals to the imagination and leads the reader through related areas of mathematics. The first book to focus on Fermat's Last Theorem since Andrew Wiles presented his celebrated proof, Notes on Fermat's Last Theorem surveys 350 years of mathematical history in an amusing collection of tidbits, anecdotes, footnotes, exercises, limericks, references, illustrations, and more.

Proving that one can both read mathematics and read about it, this thoroughly accessible treatment
Helps students and professionals develop a background in number theory and provides introductions to the various fields of mathematics that are touched upon
Offers insight into the exciting world of mathematical research
Covers a number of areas appropriate for classroom use
Assumes only a year or so of university mathematics even for the more advanced topics
Explains why Fermat surely did not have the proof to his theorem
Examines the efforts of mathematicians over the centuries to solve the problem
Shows how the pursuit of the theorem contributed to the greater development of mathematics

Around 1637, the French jurist Pierre de Fermat scribbled in the margin of his copy of Diophantus' Arithmetica what came to be known as Fermat's Last Theorem, the most famous question in mathematical history. Stating that it is impossible to split a cube into two cubes, or a fourth power into two fourth powers, or any higher power into two like powers, but not leaving behind the marvelous proof he claimed to have had, Fermat prompted three and a half centuries of mathematical enquiry which culminated only recently with the proof of Fermat's Last Theorem by Andrew Wiles.

This book represents the first serious treatment of Fermat's Last Theorem since Wiles' proof. It is based on a series of lectures give by the author to celebrate Wiles' achievement, with each chapter explaining a separate area of number theory as it pertains to Fermat's Last Theorem. Together, they provide a concise history of the problem as well as a brief discussion of Wiles' proof and its implications. Requiring little more than one year of university mathematics and a liking for formulas, this overview provides many useful tips and cites numerous references for those who desire more mathematical detail.

The book's most distinctive feature is its easy-to-read, humorous style, complete with examples, anecdotes, and some of the less well known mathematics underlying the newly discovered proof. In the author's own words, the book deals with "serious mathematics without being too serious about it". Alf van der Poorten demystifies mathematical research, offers an intuitive approach to the subject --- loosely suggesting various definitions and unexplained facts --- and invites the reader to fill in the missing links in some of the mathematical claims.

Let me not trouble you with the Table of Contents (why not look at the book's home page at http://www.mpce.mq.edu.au/~alf/NotesonFLT.html).

But do note that its appendices

Appendix A. Remarks on Fermat's Last Theorem
For those who only want to pretend to have looked at the rest of this book. 187--199

Appendix B. "The Devil and Simon Flagg", by Arthur Porges.
The devil fails where Wiles will succeed. 201--206

Appendix C. "Math Riots Prove Fun Incalculable", by Eric Zorn
Is the FLT truly as important as sport? 207--209

obviously are readable by anyone('s mother-in-law).