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Aggiungi al carrelloPaperback. Condizione: Brand New. 420 pages. 8.25x5.50x1.00 inches. In Stock.
Lingua: Inglese
Editore: American Mathematical Society, US, 2017
ISBN 10: 1470434792 ISBN 13: 9781470434793
Da: Rarewaves.com USA, London, LONDO, Regno Unito
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Aggiungi al carrelloPaperback. Condizione: New. Groups arise naturally as symmetries of geometric objects, and so groups can be used to understand geometry and topology. Conversely, one can study abstract groups by using geometric techniques and ultimately by treating groups themselves as geometric objects. This book explores these connections between group theory and geometry, introducing some of the main ideas of transformation groups, algebraic topology, and geometric group theory.The first half of the book introduces basic notions of group theory and studies symmetry groups in various geometries, including Euclidean, projective, and hyperbolic. The classification of Euclidean isometries leads to results on regular polyhedra and polytopes; the study of symmetry groups using matrices leads to Lie groups and Lie algebras.The second half of the book explores ideas from algebraic topology and geometric group theory. The fundamental group appears as yet another group associated to a geometric object and turns out to be a symmetry group using covering spaces and deck transformations. In the other direction, Cayley graphs, planar models, and fundamental domains appear as geometric objects associated to groups. The final chapter discusses groups themselves as geometric objects, including a gentle introduction to Gromov's theorem on polynomial growth and Grigorchuk's example of intermediate growth.The book is accessible to undergraduate students (and anyone else) with a background in calculus, linear algebra, and basic real analysis, including topological notions of convergence and connectedness.This book is a result of the MASS course in algebra at Penn State University in the fall semester of 2009.
Lingua: Inglese
Editore: American Mathematical Society, 2017
ISBN 10: 1470434792 ISBN 13: 9781470434793
Da: GreatBookPrices, Columbia, MD, U.S.A.
Condizione: New.
Lingua: Inglese
Editore: American Mathematical Society, 2017
ISBN 10: 1470434792 ISBN 13: 9781470434793
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EUR 56,82
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Aggiungi al carrelloCondizione: New. 2017. Paperback. . . . . .
Lingua: Inglese
Editore: American Mathematical Society, 2017
ISBN 10: 1470434792 ISBN 13: 9781470434793
Da: GreatBookPrices, Columbia, MD, U.S.A.
Condizione: As New. Unread book in perfect condition.
Lingua: Inglese
Editore: MP-AMM American Mathematical, 2017
ISBN 10: 1470434792 ISBN 13: 9781470434793
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EUR 70,89
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Aggiungi al carrelloPAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000.
Lingua: Inglese
Editore: American Mathematical Society, 2017
ISBN 10: 1470434792 ISBN 13: 9781470434793
Da: Kennys Bookstore, Olney, MD, U.S.A.
Condizione: New. 2017. Paperback. . . . . . Books ship from the US and Ireland.
Lingua: Inglese
Editore: American Mathematical Society, 2017
ISBN 10: 1470434792 ISBN 13: 9781470434793
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Aggiungi al carrelloCondizione: New.
Lingua: Inglese
Editore: American Mathematical Society, 2017
ISBN 10: 1470434792 ISBN 13: 9781470434793
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EUR 70,31
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Aggiungi al carrelloPaperback / softback. Condizione: New. New copy - Usually dispatched within 4 working days.
Lingua: Inglese
Editore: American Mathematical Society, 2017
ISBN 10: 1470434792 ISBN 13: 9781470434793
Da: GreatBookPricesUK, Woodford Green, Regno Unito
EUR 74,56
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Aggiungi al carrelloCondizione: As New. Unread book in perfect condition.
Lingua: Inglese
Editore: American Mathematical Society, US, 2017
ISBN 10: 1470434792 ISBN 13: 9781470434793
Da: Rarewaves.com UK, London, Regno Unito
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Aggiungi al carrelloPaperback. Condizione: New. Groups arise naturally as symmetries of geometric objects, and so groups can be used to understand geometry and topology. Conversely, one can study abstract groups by using geometric techniques and ultimately by treating groups themselves as geometric objects. This book explores these connections between group theory and geometry, introducing some of the main ideas of transformation groups, algebraic topology, and geometric group theory.The first half of the book introduces basic notions of group theory and studies symmetry groups in various geometries, including Euclidean, projective, and hyperbolic. The classification of Euclidean isometries leads to results on regular polyhedra and polytopes; the study of symmetry groups using matrices leads to Lie groups and Lie algebras.The second half of the book explores ideas from algebraic topology and geometric group theory. The fundamental group appears as yet another group associated to a geometric object and turns out to be a symmetry group using covering spaces and deck transformations. In the other direction, Cayley graphs, planar models, and fundamental domains appear as geometric objects associated to groups. The final chapter discusses groups themselves as geometric objects, including a gentle introduction to Gromov's theorem on polynomial growth and Grigorchuk's example of intermediate growth.The book is accessible to undergraduate students (and anyone else) with a background in calculus, linear algebra, and basic real analysis, including topological notions of convergence and connectedness.This book is a result of the MASS course in algebra at Penn State University in the fall semester of 2009.
Lingua: Inglese
Editore: American Mathematical Society, 2017
ISBN 10: 1470434792 ISBN 13: 9781470434793
Da: Mispah books, Redhill, SURRE, Regno Unito
EUR 162,01
Quantità: 1 disponibili
Aggiungi al carrelloPaperback. Condizione: New. NEW. SHIPS FROM MULTIPLE LOCATIONS. book.