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A classical introduction to modern number theory

Author: Kenneth F Ireland; Michael Ira Rosen
Publisher: New York : Springer-Verlag, ©1990.
Series: Graduate texts in mathematics, 84.
Edition/Format:   Print book : English : 2nd edView all editions and formats
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The second edition of this book which bridges the gap between elementary number theory and the systematic study of advanced topics. New topics include a proof of Mordell's fundamental theorem, and an  Read more...

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Genre/Form: Einführung
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Kenneth F Ireland; Michael Ira Rosen
ISBN: 038797329X 9780387973296 354097329X 9783540973294
OCLC Number: 318356339
Description: xiv, 389 p. ; 24 cm.
Contents: Contents: Unique Factorization.- Applications of Unique Factorization.- Congruence.- The Structure of U(Z/nZ).- Quadratic Reciprocity.- Quadratic Gauss Sums.- Finite Fields.- Gauss and Jacobi Sums.- Cubic and Biquadratic Reciprocity.- Equations Over Finite Fields.- The Zeta Function.- Algebraic Number Theory.- Quadratic and Cyclotomic Fields.- The Stickelberger Relation and the Eisenstein Reciprocity Law.- Bernoulli Numbers.- Dirichlet L-Functions.- Diophantine Equations.- Elliptic Curves.- The Mordell-Weil Theorem.- New Progress in Arithmetic Geometry.- Selected Hints for the Exercises.
Series Title: Graduate texts in mathematics, 84.
Responsibility: Kenneth Ireland, Michael Rosen.

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From the reviews of the second edition:K. Ireland and M. RosenA Classical Introduction to Modern Number Theory"Many mathematicians of this generation have reached the frontiers of research without Read more...

 
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