| | Notes on Fermat's Last Theoremby A.j. Van Der Poorten 
Download Book
(Respecting the intellectual property of others is utmost important to us, we make every effort to make sure we only link to legitimate sites, such as those sites owned by authors and publishers. If you have any questions about these links, please contact us.)
link 1
About Book
American Mathematical Monthly A Publication of the American Mathematical Society
Have you ever wanted a math book that you could dip into like a favorite, inspired novel? One in which every page has a delicious quote, a provoking viewpoint, or a novel insight? A book that when read for the third time still makes you think or smile? A book that you can't put down, finding yourself reading on, even when you only picked it up to check on one little fact? This is Van der Poorten's polished, eccentric, opinionated, and inspiring Notes on Fermat's Last Theorem. We need more mathematics books like this. ...Finally, let me repeat that Van der Poorten's monograph is a wonderful mathematics book, which dares to breach the stylistic barriers that usually impede understanding. It encompasses a lot of material, from elementary to very deep, but remains accessible. I expect it will turn a lot of people on to number theory and arithmetic geometry, and indeed the beauty of mathematics as a whole.
Book Description
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
The publisher, John Wiley & Sons
This is one of the first books to deal with Fermat's theorem and its proof discovered by Andrew Wiles, including a succinct discussion of Wiles' proof and its implications. Each chapter explains a separate area of number theory as it pertains to Fermat's last theorem and combined, presents a concise history of the theorem. The engaging writing style makes the text accessible for non-math students.
From the Inside Flap
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.
From the Back Cover
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
About the Author
Alf van der Poorten is Director of the Centre for Number Theory Research and Head of the School of Mathematics, Physics, Computing, and Electronics at Macquarie University in Sydney, Australia. Over the past twenty years he has held short-term visiting positions at various universities in North America and Europe, and has made important contributions in a number of areas of mathematical research. Dr. van der Poorten is well known internationally as an amusing lecturer and expositor and has published over one hundred papers, primarily on topics inspired by number theoretical problems. Related Free eBooks | Related Tags |
Peter L. Griffiths, London, UK, 2012-07-03 11:34:37
SEND A COMMENT
PLEASE READ: All comments must be approved before appearing in the thread; time and space constraints prevent all comments from appearing. We will only approve comments that are directly related to the article, use appropriate language and are not attacking the comments of others.