Visual Group Theory by Stephan Rosebrock

Visual Group Theory by Stephan Rosebrock

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.

Stephan Rosebrock is a professor at the Institute of Mathematics and Computer Science of the University of Education in Karlsruhe, Germany.

SKU	Non disponible
ISBN 13	9783662693643
Titre	Visual Group Theory
Auteur	Stephan Rosebrock
Série	Springer Undergraduate Mathematics Series
État	Non disponible
Type de reliure	Paperback
Éditeur	Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Année de publication	2024-08-11
Nombre de pages	237
Note de couverture	La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note	Non disponible