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Technical Discovering Mathematics with Magma: Reducing the Abstract to the Concrete (Repost)

Posted on 2010-07-27




Name:Technical Discovering Mathematics with Magma: Reducing the Abstract to the Concrete (Repost)
ASIN/ISBN:3540376321
Publisher:Springer
Publish Date:2006
Pages:374
File size:11.3 Mb
Publisher: Springer
Pages: 374
Publish Date: 2006
ISBN: 3540376321
File Type: PDF
File Size: 11,3 mb
   Technical Discovering Mathematics with Magma: Reducing the Abstract to the Concrete (Repost)

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Discovering Mathematics with Magma: Reducing the Abstract to the Concrete

This volume celebrates the first decade of the Computer Algebra system Magma. With a design based on the ontology and semantics of algebra, Magma enables users to rapidly formulate and perform calculations in the more abstract parts of mathematics. This book introduces the reader to the role Magma plays in advanced mathematical research through 14 case studies which, in most cases, describe computations underpinning new theoretical results. The authors of the chapters were chosen both for their expertise in the particular field and for their innovative use of Magma. Although by no means exhaustive, the topics range over much of Magma's coverage of algorithmic algebra: from number theory and algebraic geometry, via representation theory and group theory to some branches of discrete mathematics and graph theory. A basic introduction to the Magma language is given in an appendix. The book is simultaneously an invitation to learn a new programming language in the context of contemporary research problems, and an exposition of the types of problem that can be investigated using computational algebra.

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