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Quadratic Number Fields

Name: Quadratic Number Fields
Brand: Springer Nature Switzerland AG
SKU: 36649950
Price: 9655 HUF
Availability: InStock
Author: Franz Lemmermeyer
ISBN: 9783030786519

Franz Lemmermeyer

Language

English

Book Paperback

Libristo code: 36649950

Publishers Springer Nature Switzerland AG, September 2021

This undergraduate textbook provides an elegant introduction to the arithmetic of quadratic number f... Full description

Libristo code: 36649950

64 b

9 655 Ft

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This undergraduate textbook provides an elegant introduction to the arithmetic of quadratic number fields, including many topics not usually covered in books at this level. Quadratic fields offer an introduction to algebraic number theory and some of its central objects: rings of integers, the unit group, ideals and the ideal class group. This textbook provides solid grounding for further study by placing the subject within the greater context of modern algebraic number theory. Going beyond what is usually covered at this level, the book introduces the notion of modularity in the context of quadratic reciprocity, explores the close links between number theory and geometry via Pell conics, and presents applications to Diophantine equations such as the Fermat and Catalan equations as well as elliptic curves. Throughout, the book contains extensive historical comments, numerous exercises (with solutions), and pointers to further study.Assuming a moderate background in elementary number theory and abstract algebra, Quadratic Number Fields offers an engaging first course in algebraic number theory, suitable for upper undergraduate students.

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About the book

Full name Quadratic Number Fields

Author Franz Lemmermeyer

Language

English

Binding Book - Paperback

Date of issue 2021

Number of pages 343

EAN 9783030786519

ISBN 303078651X

Libristo code 36649950

Publishers Springer Nature Switzerland AG

Weight 554

Dimensions 234 x 155 x 29

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