Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory

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Springer, Jan 14, 2000 - Mathematics - 410 pages
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This introduction to algebraic number theory via the famous problem of "Fermats Last Theorem" follows its historical development, beginning with the work of Fermat and ending with Kummers theory of "ideal" factorization. The more elementary topics, such as Eulers proof of the impossibilty of x+y=z, are treated in an uncomplicated way, and new concepts and techniques are introduced only after having been motivated by specific problems. The book also covers in detail the application of Kummers theory to quadratic integers and relates this to Gauss'theory of binary quadratic forms, an interesting and important connection that is not explored in any other book.
  

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Contents

Fermat
1
Euler
39
From Euler to Kummer
59
Kummers theory of ideal factors
76
Fermats Last Theorem for regular primes
152
Determination of the class number
181
Divisor theory for quadratic integers
245
Gausss theory of binary quadratic forms
305
Dirichlets class number formula
342
The natural numbers
372
Answers to exercises
381
Bibliography
403
Index
409
Copyright

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Page 403 - Arithmeticorum libri sex et de numeris multangulis liber unus. Cum commentariis CG BACHETI et observationibus DP DE FERMAT.

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JSTOR: Fermat's Last Theorem. A Genetic Introduction to Algebraic ...
Fermat's Last Theorem. A Genetic Introduction to Algebraic Number Theory. Lawrence Washington. Mathematics of Computation, Vol. 32, No. 143, 943-944. ...
links.jstor.org/ sici?sici=0025-5718(197807)32%3A143%3C943%3AFLTAGI%3E2.0.CO%3B2-B

Review: Harold M. Edwards, Fermat's last theorem, a genetic ...
Harold M. Edwards, Fermat's last theorem, a genetic introduction to algebraic number theory. Graduate Texts in Math. Springer-Verlag, Berlin and New York, ...
projecteuclid.org/ handle/ euclid.bams/ 1183548007

Fermat's Last Theorem
Fermat's Last Theorem, A Genetic Introduction to Algebraic Number Theory. hm Edwards. Springer Verlag, New York, 1977. Thirteen Lectures on Fermat's Last ...
www.cs.uwaterloo.ca/ ~alopez-o/ math-faq/ mathtext/ node9.html

11D41: Higher degree equations; Fermat's equation
ISBN 0-387-90432-8 MR 81f:10023; Edwards, Harold M., "Fermat's last theorem: A genetic introduction to algebraic number theory", GTM 50, Springer-Verlag, ...
www.math.niu.edu/ ~rusin/ known-math/ index/ 11D41.html

Springer Online Reference Works
Fermat last theorem. Fermat's last theorem surely was mathematics' most celebrated and notorious open problem. Its investigation sparked fundamental ...
eom.springer.de/ F/ f110070.htm

Edwards hm — Fermat's Last Theorem: A Genetic Introduction to ...
Название: Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory Автор: Edwards hm Аннотация:. This book is an introduction to algebraic ...
lib.mexmat.ru/ books/ 32882

On the Use of Pseudo-Empirical Induction in Mathematics
On the Use of Pseudo-Empirical Induction in Mathematics. by William maccartney. submitted to the Department of Philosophy at Princeton University ...
nlp.stanford.edu/ ~wcmac/ papers/ peim.html

Edwards Harold M.: Fermat's Last Theorem | ISBN: 9780387950020 ...
Offers an introduction to algebraic number theory via the problem of "Fermat's Last Theorem." This title follows the development of the problem, ...
www.bookfayre.cz/ books/ item/ 9780387950020.html.cs

Hipertexto Pitágoras: Artigos em Matemática Superior
Harold M. Edwards, em Fermat's Last Theorem, a Genetic Introduction to Algebraic Number Theory, também utilizou o método histórico. ...
www.dm.ufscar.br/ hp/ hp591/ hp591002/ hp5910022/ hp5910022.html

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Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory. Posted By: tika12 | Date: 03 Feb 2008 19:45 | Comments: 2 ...
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About the author (2000)

Harold M. Edwards is Emeritus Professor of Mathematics at New York University. His previous books are Advanced Calculus (1969, 1980, 1993), Riemann's Zeta Function (1974, 2001), Fermat's Last Theorem (1977), Galois Theory (1984), Divisor Theory (1990) and Linear Algebra (1995). Readers of his Advanced Calculus will know that his preference for constructive mathematics is not new. In 1980 he was awarded the Steele Prize for mathematical exposition for the Riemann and Fermat books.

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