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Visual Group Theory: A Computer-Oriented Geometric Introduction by Rosebrock

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eBay item number:365034202758
Last updated on 25 Jul, 2025 01:50:52 BSTView all revisionsView all revisions

Item specifics

Condition
New: A new, unread, unused book in perfect condition with no missing or damaged pages. See the ...
Book Title
Visual Group Theory: A Computer-Oriented Geometric Introduction
Publication Date
2024-07-05
Pages
237
ISBN
9783662693643

About this product

Product Identifiers

Publisher
Springer Berlin / Heidelberg
ISBN-10
366269364X
ISBN-13
9783662693643
eBay Product ID (ePID)
7067077182

Product Key Features

Number of Pages
Xii, 237 Pages
Language
English
Publication Name
Visual Group Theory : a Computer-Oriented Geometric Introduction
Publication Year
2024
Subject
Geometry / Non-Euclidean, Algebra / Abstract, Geometry / General, General
Type
Textbook
Author
Stephan Rosebrock
Subject Area
Mathematics
Series
Springer Undergraduate Mathematics Ser.
Format
Trade Paperback

Dimensions

Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Dewey Edition
23
Number of Volumes
1 vol.
Illustrated
Yes
Original Language
German
Dewey Decimal
512.2
Table Of Content
1 Introduction to Euclidean Geometry.- 2 Introduction to Groups.- 3 Subgroups and Homomorphisms.- 4 Group Operations.- 5 Group Presentations.- 6 Products of Groups.- 7 Finite Groups.- 8 Abelian and Solvable Groups.- 9 The Hyperbolic Plane.- 10 Hyperbolic Groups.
Synopsis
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.
LC Classification Number
QA174-183

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