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Visual Group Theory

A Computer-Oriented Geometric Introduction

Language EnglishEnglish
Book Paperback
Book Visual Group Theory Stephan Rosebrock
Libristo code: 45752952
Publishers Springer, Berlin, September 2024
This textbook provides an introduction to group theory starting from the basics, relying on geometry... Full description
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55.54
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This textbook provides an introduction to group theory starting from the basics, relying on geometry to elucidate its various aspects.Groups naturally manifest as symmetries of geometric shapes, such as reflections and rotations. The book adopts this perspective to provide a straightforward, descriptive explanation, supported by examples and exercises in GAP, an open-source computer algebra system. It covers all of the key concepts of group theory, including homomorphisms, group operations, presentations, products of groups, and finite, abelian, and solvable groups. The topics include cyclic and symmetric groups, dihedral, orthogonal, and hyperbolic groups, as well as the significant notion of Cayley graphs.Self-contained and requiring little beyond high school mathematics, this book is aimed at undergraduate courses and features numerous exercises. It will also appeal to anyone interested in the geometric approach to group theory.

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About the book

Full name Visual Group Theory
Language English
Binding Book - Paperback
Date of issue 2024
Number of pages 239
EAN 9783662693643
Libristo code 45752952
Publishers Springer, Berlin
Weight 398
Dimensions 155 x 235
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