Selected Product:
| Algebraic Number Theory and Fermat's Last Theorem
Hardcover
Edition: 3 Sub
Author: Ian Stewart, David Tall
Publisher: AK Peters, Ltd.
Release Date: 2001-12-01
ISBN-10: 1568811195
ISBN-13: 9781568811192
List Price: $49.00
Average Customer Rating:
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Galois Theory for Beginners: A Historical Perspective (Student Mathematical Library) (Student Matehmatical Library)
ISBN-10: 0821838172
ISBN-13: 9780821838174
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Introduction to Analytic Number Theory (Undergraduate Texts in Mathematics)
ISBN-10: 0387901639
ISBN-13: 9780387901633
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ISBN-10: 0387978259
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ISBN-13: 9780123392510
List Price:$69.95
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Summaries and Customer Reviews are supplied by Amazon.com
One of the latest mathematical discoveries was the proof, by Andrew Wiles, of Fermat's last theorum, a 300-year old conjecture that had eluded professional mathematicians as well as serious amateurs. The problem is part of the theory of algebraic numbers and its solution draws on an incredible range of modern mathematics. This revised edition introduces the elements necessary for understanding the proof of Fermat's last theorum as well as newer developments and unsolved problems. It gathers together the historical development of the subject with a presentation of mathematical techniques.
tough problems => good for the student
| Customer Rating: | The motivation of explaining Fermat's Last Theorem is a nice device by which Stewart takes you on a tour of algebraic number theory. Things like rings of integers, Abelian groups, Minkowski's Theorem and Kummer's Theorem arise fluidly and naturally out of the presentation.
The inclusion of problem sets in each chapter also enlivens its appeal to a student. Typically, the first problems in each set are easy. But later problems can be quite formidable, and really give a good mental workout of the salient issues just covered in the chapter. |
Very clear introduction to Algebraic Number Theory
| Customer Rating: | This book is a very clear intoductino to ANT. It is a good first step for many reasons. One: it stays with algebraic number fields that are extensions of Q, the rational numbers. You get a good feel for the subject. When you go to more advanced books Q is replaced by other fields (P-adic, function fields, finite fields,..).
Two: He assumes very little and writes very clearly
Three: You only needs to read his Galois theory book for the prerequisite
Four: His book is what is usually left for the reader to do as an excersize in more advanced books. |
thoughts from an amateur
| Customer Rating: | | good overview of algebraic number theory as it applies to FLT, however not exactly pitched at beginners. you'll want to have a grounding in abstract algebra & linear algebra at the minimum. still, even if you don't, you can get a good sense of the "big picture" and a high-level understanding of the advances in mathematics that were directly or indirectly related to attempts to solve FLT. overall a fascinating read if you're a math geek who wants something a little deeper than Simon Singh's pop treatment of Wiles' proof. |
Lucid introduction
| Customer Rating: | | Lucid and clear introduction to algebraic number theory, in style very much like the author's other book on Galois theory. Very elementary though, doesn't cover any analytic method, nor gives even a taste of class field theory, besides the problem set is less than challenging. But the book serves its purpose well, strongly recommended for beginners. |
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