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Title: Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory (Graduate Texts in Mathematics) by Harold M. Edwards ISBN: 0-387-95002-8 Publisher: Springer Verlag Pub. Date: January, 2000 Format: Paperback Volumes: 1 List Price(USD): $44.95 |
Average Customer Rating: 4.5 (2 reviews)
Rating: 5
Summary: great book
Comment: This is a great book. If you want to learn algebraic number theory from a very example/computational oriented book, then this is the book you want. it really has a lot of stuff in it. all other graduate books are theory without examples or motivation. this book is the exact opposite. the only drawback is that it doesn't use any modern algebra, but you can figure out how to shorten the arguments with algebra if you wanted to.
Rating: 4
Summary: Read this if you're seriously interested in math.
Comment: There was a great burst of excitement, and several popular books, when Andrew Wiles proved "Fermat's last theorem". The popular books are fine, but they don't address the deepest issue: among all the many long-standing unsolved problems in number theory that are easy to state but resistant to solution, why did "Fermat's last theorem" attract the efforts of so many top-flight mathematicians: Euler, Sophie Germain, Kummer, and many others? The problem itself has no useful application or extension, and as stated seems like just another piece of obstinate trivia. So why is it mathematically interesting?
The answer, of course, is that attacks on the problem revealed deep and important connections between elementary number theory and various other branches of mathematics, such as the theory of rings. Thus, as so often in mathematics, the importance of the problem lies in where it leads the mind, rather than in the problem itself. Harold M. Edwards' book
is a minor classic of exposition, showing how the instincts of top-flight research mathematicians lead them to fruitful work from a seemingly unimportant starting point. I'm only sorry that Professor Edwards seems never to have completed the second volume he had hoped to write.
Thus book deserves to be read by a much larger audience than it has gotten; in particular, I believe every graduate student in math who hopes to do good research, regardless of specialty, would benefit from reading it. Beyond that, any mathematically inclined reader with a modicum of training in math, is likely to find this a fascinating book.
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Title: Galois Theory (Graduate Texts in Mathematics 101) by Harold M. Edwards ISBN: 038790980X Publisher: Springer Verlag Pub. Date: November, 1997 List Price(USD): $56.95 |
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Title: Riemann's Zeta Function by Harold M. Edwards ISBN: 0486417409 Publisher: Dover Pubns Pub. Date: June, 2001 List Price(USD): $14.95 |
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Title: Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics by John Derbyshire ISBN: 0309085497 Publisher: Joseph Henry Press Pub. Date: 23 April, 2003 List Price(USD): $27.95 |
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Title: Undergraduate Algebraic Geometry by Miles Reid ISBN: 0521356628 Publisher: Cambridge University Press Pub. Date: December, 1988 List Price(USD): $17.00 |
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Title: Algebraic Number Theory and Fermat's Last Theorem by Ian Stewart, David Tall ISBN: 1568811195 Publisher: A K Peters Ltd Pub. Date: 01 December, 2001 List Price(USD): $38.00 |
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