Tuesday, October 1, 2013

Computers in Algebra and Number Theory

Computers in Algebra and Number Theory
Author: G. Birkhoff
Edition:
Binding: Paperback
ISBN: 0821813234
Publisher: Amer Mathematical Society



A Computational Introduction to Number Theory and Algebra [ebook]


Computers in Algebra and Number Theory
This book contains 22 lectures presented at the final conference of the German research program "Algorithmic Number Theory and Algebra 1991-1997", sponsored by the Deutsche Forschungsgemeinschaft. The purpose of this research program and the meeting was to bring together developers of computer algebra software and researchers using computational methods to gain insight into experimental problems and theoretical questions in algebra and number theory. The book gives an overview on algorithmic methods and results obtained during this period mainly in algebraic number theory, commutative algebra and algebraic geometry, and group and representation theory. Some of the articles illustrate the current state of the computer algebra systems developed with support from the research program, for example KANT and LiDIA for algebraic number theory, SINGULAR, REDLOG and INVAR for commutative algebra and invariant theory respectively, and GAP, SYSYPHOS and CHEVIE for group and representation theory.
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