- Hardcover: 336 pages
- Publisher: A K Peters/CRC Press; 3 edition (Dec 12 2001)
- Language: English
- ISBN-10: 1568811195
- ISBN-13: 978-1568811192
- Product Dimensions: 24 x 15.2 x 2.3 cm
- Shipping Weight: 558 g
- Average Customer Review: 4.0 out of 5 stars See all reviews (2 customer reviews)
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Amazon Bestsellers Rank:
#254,175 in Books (See Top 100 in Books)
- #13 in Books > Science > History & Philosophy > History of Mathematics
- #29 in Books > Science > Mathematics > Geometry & Topology > Algebraic Geometry
- #79 in Books > Science > Mathematics > Pure Mathematics > Number Theory
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Product Details |
Product Description
Review
"The book remains, as before, an extremely attractive introduction to algebraic number theory, from the ideal-theoretic perspective." -Andrew Bremner, Mathematiacl Reviews, February 2003
Product Description
First published in 1979 and written by two distinguished mathematicians with a special gift for exposition, this book is now available in a completely revised third edition. It reflects the exciting developments in number theory during the past two decades that culminated in the proof of Fermat's Last Theorem. Intended as a upper level textbook, it is also eminently suited as a text for self-study.
Inside This Book
(Learn More)
First Sentence
Fermat's Last Theorem is a special case of the theory of Diophantine equations-integer solutions of polynomial equations. Read the first page
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
Fermat's Last Theorem is a special case of the theory of Diophantine equations-integer solutions of polynomial equations. Read the first page
Explore More
Concordance
Browse Sample PagesConcordance
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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Customer Reviews
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Most helpful customer reviews
4.0 out of 5 stars
thoughts from an amateur,
By
This review is from: Algebraic Number Theory and Fermat's Last Theorem: Third Edition (Hardcover)
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.
4.0 out of 5 stars
Lucid introduction,
By A Customer
This review is from: Algebraic Number Theory and Fermat's Last Theorem: Third Edition (Hardcover)
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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Most Helpful Customer Reviews on Amazon.com (beta) Amazon.com:
4.0 out of 5 stars (8 customer reviews) 16 of 17 people found the following review helpful
4.0 out of 5 stars
Lucid introduction,
By A Customer - Published on Amazon.com
This review is from: Algebraic Number Theory and Fermat's Last Theorem: Third Edition (Hardcover)
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.
15 of 16 people found the following review helpful
4.0 out of 5 stars
thoughts from an amateur,
By A. Pai - Published on Amazon.com
This review is from: Algebraic Number Theory and Fermat's Last Theorem: Third Edition (Hardcover)
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.
15 of 17 people found the following review helpful
5.0 out of 5 stars
Very clear introduction to Algebraic Number Theory,
By DaddyRead.com "Great Books to Read Aloud" - Published on Amazon.com
This review is from: Algebraic Number Theory and Fermat's Last Theorem: Third Edition (Hardcover)
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. |
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