Overview
- Buchmann is a leader in number theory in the world
- Only book focussing on the algorithmic aspects of the theory
Part of the book series: Algorithms and Computation in Mathematics (AACIM, volume 20)
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Table of contents (13 chapters)
Keywords
About this book
Reviews
From the reviews:
"Quadratic Field Theory is the best platform for the development of a computer viewpoint. Such an idea is not dominant in earlier texts on quadratic forms … . this book reads like a continuous program with major topics occurring as subroutines. The theory appears as ‘program comments,’ accompanied by numerical examples. … An appendix explaining linear algebra (bases and matrices) helps make this work ideal as a self-contained well-motivated textbook for computer-oriented students at any level and as a reference book." (Harvey Cohn, Zentralblatt MATH, Vol. 1125 (2), 2008)
“The book under discussion contains the classical Gauß -Dirichlet representation theory of integral binary quadric forms. … Many of the algorithms presented in this book are described in full detail. The whole text is very carefully written. It is therefore also well suited for beginners as in addition no special knowledge on Number Theory is necessary to understand the text. It can also be recommended to teachers who give courses in Number Theory or Computational Algebra.” (J. Schoissengeier, Monatshefte für Mathematik, Vol. 156 (3), March, 2009)
Authors and Affiliations
About the authors
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.
Bibliographic Information
Book Title: Binary Quadratic Forms
Book Subtitle: An Algorithmic Approach
Authors: Johannes Buchmann, Ulrich Vollmer
Series Title: Algorithms and Computation in Mathematics
DOI: https://doi.org/10.1007/978-3-540-46368-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2007
Hardcover ISBN: 978-3-540-46367-2Published: 28 February 2007
Softcover ISBN: 978-3-642-07971-9Published: 25 November 2010
eBook ISBN: 978-3-540-46368-9Published: 22 June 2007
Series ISSN: 1431-1550
Edition Number: 1
Number of Pages: XIV, 318
Topics: Algebra, Number Theory, Mathematics of Computing, Cryptology