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Stephan Rosebrock
Visual Group Theory
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5050017Visual Group Theoryhttps://www.gandhi.com.mx/visual-group-theory-9783662693650/phttps://gandhi.vtexassets.com/arquivos/ids/4592962/image.jpg?v=6385579453510000009761084MXNSpringer Berlin HeidelbergInStock/Ebooks/<p>This textbook provides an introduction to group theory starting from the basics, relying on geometry to elucidate its various aspects.</p><p>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.</p><p>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.</p>...4777619Visual Group Theory9761084https://www.gandhi.com.mx/visual-group-theory-9783662693650/phttps://gandhi.vtexassets.com/arquivos/ids/4592962/image.jpg?v=638557945351000000InStockMXN99999DIEbook20249783662693650_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9783662693650_<p>This textbook provides an introduction to group theory starting from the basics, relying on geometry to elucidate its various aspects.</p><p>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.</p><p>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.</p>...9783662693650_Springer Berlin Heidelberglibro_electonico_9783662693650_9783662693650Stephan RosebrockInglésMéxico2024-07-04T00:00:00+00:002024-07-04T00:00:00+00:00Springer Berlin Heidelberg