Algorithmic Algebra and Number Theory

Algorithmic Algebra and Number Theory

Author: B.Heinrich Matzat

Publisher: Springer Science & Business Media

ISBN: 9783642599323

Category: Computers

Page: 434

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This book contains 22 lectures presented at the final conference of the Ger man research program (Schwerpunktprogramm) Algorithmic Number The ory and Algebra 1991-1997, sponsored by the Deutsche Forschungsgemein schaft. The purpose of this research program and of the meeting was to bring together developers of computer algebra software and researchers using com putational methods to gain insight into experimental problems and theoret ical questions in algebra and number theory. The book gives an overview on algorithmic methods and on results ob tained during this period. This includes survey articles on the main research projects within the program: • algorithmic number theory emphasizing class field theory, constructive Galois theory, computational aspects of modular forms and of Drinfeld modules • computational algebraic geometry including real quantifier elimination and real algebraic geometry, and invariant theory of finite groups • computational aspects of presentations and representations of groups, especially finite groups of Lie type and their Heeke algebras, and of the isomorphism problem in group theory. Some of the articles illustrate the current state of computer algebra sys tems and program packages developed with support by the research pro gram, such as KANT and LiDIA for algebraic number theory, SINGULAR, RED LOG and INVAR for commutative algebra and invariant theory respec tively, and GAP, SYSYPHOS and CHEVIE for group theory and representation theory.
Algorithmic Algebra and Number Theory
Language: en
Pages: 434
Authors: B.Heinrich Matzat, Gert-Martin Greuel, Gerhard Hiss
Categories: Computers
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

This book contains 22 lectures presented at the final conference of the Ger man research program (Schwerpunktprogramm) Algorithmic Number The ory and Algebra 1991-1997, sponsored by the Deutsche Forschungsgemein schaft. The purpose of this research program and of the meeting was to bring together developers of computer algebra software and
Group Theory, Algebra, and Number Theory
Language: en
Pages: 221
Authors: Horst G. Zimmer
Categories: Mathematics
Type: BOOK - Published: 1996-01-01 - Publisher: Walter de Gruyter

Books about Group Theory, Algebra, and Number Theory
Algorithmic Algebraic Number Theory
Language: en
Pages: 499
Authors: M. Pohst, H. Zassenhaus
Categories: Mathematics
Type: BOOK - Published: 1997-09-25 - Publisher: Cambridge University Press

Classic book, addressed to all lovers of number theory.
Algorithmic Number Theory
Language: en
Pages: 456
Authors: Duncan Buell
Categories: Mathematics
Type: BOOK - Published: 2004-05-04 - Publisher: Springer

The sixth Algorithmic Number Theory Symposium was held at the University of Vermont, in Burlington, from 13–18 June 2004. The organization was a joint e?ort of number theorists from around the world. There were four invited talks at ANTS VI, by Dan Bernstein of the Univ- sity of Illinois at
A Course in Computational Algebraic Number Theory
Language: en
Pages: 536
Authors: Henri Cohen
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

A description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters guide readers to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units,