Kniha Visual Group Theory Stephan Rosebrock

Visual Group Theory

A Computer-Oriented Geometric Introduction

Jazyk: Angličtina
Vazba: Brožovaná
Vydavatel: Springer, Berlin
Dostupnost: Skladem u dodavatele
Odesíláme za 5-8 dnů
1 231
This textbook provides an introduction to group theory starting from the basics, relying on geometry...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2024
Stránek
239
EAN
9783662693643
Enbook ID
45752952
Vydavatel
Hmotnost
398
Rozměry
155 x 235

Kompletní popis

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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