Binary Quadratic Forms: An Algorithmic Approach (Paperback or Softback)

Buchmann, Johannes

ISBN 10: 3642079717 / ISBN 13: 9783642079719

Published by Springer 11/25/2010, 2010

About this Item

Binary Quadratic Forms: An Algorithmic Approach 1.04.

Seller Inventory # BBS-9783642079719

Bibliographic Details

• Title: Binary Quadratic Forms: An Algorithmic Approach (Paperback or Softback)
• Publisher: Springer 11/25/2010
• Publication Date: 2010
• Language: English
• ISBN 10: 3642079717
• ISBN 13: 9783642079719
• Binding: Paperback or Softback
• Condition: New
• Book Type: Book

About this title

Synopsis

The book deals with algorithmic problems related to binary quadratic forms. Written by a world leader in number theory, it is the only book focusing on the algorithmic aspects of the theory. It deals with problems such as finding the representations of an integer by a form with integer coefficients, finding the minimum of a form with real coefficients and deciding equivalence of two forms. In order to solve those problems, the book introduces the reader to important areas of number theory such as diophantine equations, reduction theory of quadratic forms, geometry of numbers and algebraic number theory. The book explains applications to cryptography. It requires only basic mathematical knowledge.

About the Author

Buchmann: Professor of Computer Science and Mathematics
   special areas number theory, computer algebra, cryptography
   associate editor Journal of Cryptology
          Leibniz Award of the Deutsche Forschungsgemeinschaft
   Author of "Introduction to cryptography" UTM, translated into seven languages
          Member of Berlin-Brandenburg Academy of Sciences
          Member of Academy of Sciences and Literature, Mainz

Vollmer: Thesis and several articles on algorithms for Class Group and Regulator computation in quadratic fields.