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Springer Undergraduate Mathematics Ser.: Visual Group Theory : A Computer-Oriented Geometric Introduction by Stephan Rosebrock (2024, Trade Paperback)
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About this product
Product Identifiers
PublisherSpringer Berlin / Heidelberg
ISBN-10366269364X
ISBN-139783662693643
eBay Product ID (ePID)7067077182
Product Key Features
Number of PagesXii, 237 Pages
Publication NameVisual Group Theory : a Computer-Oriented Geometric Introduction
LanguageEnglish
SubjectGeometry / Non-Euclidean, Algebra / Abstract, Geometry / General, General
Publication Year2024
TypeTextbook
Subject AreaMathematics
AuthorStephan Rosebrock
SeriesSpringer Undergraduate Mathematics Ser.
FormatTrade Paperback
Dimensions
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Dewey Edition23
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal512.2
Original LanguageGerman
Table Of Content1 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.
SynopsisThis 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 NumberQA174-183
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