Springer Undergraduate Mathematics Series- Visual Group Theory A Computer-Oriented Geometric Introduction
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- Engels
- Paperback
- 9783662693643
- 11 augustus 2024
- 241 pagina's
Samenvatting
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.
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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- en
- Bindwijze
- Paperback
- Oorspronkelijke releasedatum
- 11 augustus 2024
- Aantal pagina's
- 241
Betrokkenen
- Hoofdauteur
- Stephan Rosebrock
- Hoofduitgeverij
- Springer-Verlag Berlin and Heidelberg GmbH & Co. K
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- Product breedte
- 155 mm
- Product lengte
- 235 mm
- Verpakking breedte
- 155 mm
- Verpakking lengte
- 235 mm
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- EAN
- 9783662693643
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