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	Unavailable
ISBN 13	9783662693643
Title	Visual Group Theory
Author	Stephan Rosebrock
Series	Springer Undergraduate Mathematics Series
Condition	Unavailable
Binding Type	Paperback
Publisher	Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Year published	2024-08-11
Number of pages	237
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable