Basic Quadratic Forms

Released on by Larry J. Gerstein
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  • Basic Quadratic Forms Book Detail

  • Author : Larry J. Gerstein
  • Release Date : 2008
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 274
  • ISBN 13 : 0821844652
  • File Size : 46,46 MB
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Basic Quadratic Forms by Larry J. Gerstein PDF Summary

Book Description: The arithmetic theory of quadratic forms is a rich branch of number theory that has had important applications to several areas of pure mathematics--particularly group theory and topology--as well as to cryptography and coding theory. This book is a self-contained introduction to quadratic forms that is based on graduate courses the author has taught many times. It leads the reader from foundation material up to topics of current research interest--with special attention to the theory over the integers and over polynomial rings in one variable over a field--and requires only a basic background in linear and abstract algebra as a prerequisite. Whenever possible, concrete constructions are chosen over more abstract arguments. The book includes many exercises and explicit examples, and it is appropriate as a textbook for graduate courses or for independent study. To facilitate further study, a guide to the extensive literature on quadratic forms is provided.

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Basic Quadratic Forms

Basic Quadratic Forms

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The arithmetic theory of quadratic forms is a rich branch of number theory that has had important applications to several areas of pure mathematics--particularl

Binary Quadratic Forms

Binary Quadratic Forms

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The book deals with algorithmic problems related to binary quadratic forms. It uniquely focuses on the algorithmic aspects of the theory. The book introduces th

Binary Quadratic Forms

Binary Quadratic Forms

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The first coherent exposition of the theory of binary quadratic forms was given by Gauss in the Disqnisitiones Arithmeticae. During the nine teenth century, as