Książka Visual Group Theory Stephan Rosebrock

Visual Group Theory

A Computer-Oriented Geometric Introduction

Język: Angielski
Oprawa: Miękka
Wydawca: Springer, Berlin
Dostępność: Dostępna u dostawcy
Wysyłamy za 5-8 dni
228.39
This textbook provides an introduction to group theory starting from the basics, relying on geometry...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2024
strony
239
EAN
9783662693643
Enbook ID
45752952
Waga
398
Wymiary
155 x 235

Pełny opis

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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