This volume presents an array of topics that introduce the reader to key ideas in active areas in geometry and topology. The material is presented in a way that both graduate students and researchers should find accessible and enticing. The topics covered range from Morse theory and complex geometry theory to geometric group theory, and are accompanied by exercises that are designed to deepen the reader's understanding and to guide them in exciting directions for future investigation.
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The book contains rich and interesting material covering a broad part of geometry and topology which is explained in an accessible way. It is without any doubt an excellent book for graduate students as well as for mathematicians from other fields interested in these topics. EMS
About the Author
Martin R. Bridson is at Imperial College, London. Simon M. Salamon is a Professor of Geometry, Politecnico di Torino.
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Inside This Book
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First Sentence:
Perfect groups, and in particular non-abelian simple groups, are important objects of study in finite group theory in their own right. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
binate groups, isoperimetric spectrum, virtual tangent bundle, transfinite derived series, filling theorem, minimal weight vector, monotone parametrization, isoperimetric functions, quadratic isoperimetric inequality, singular disc, acyclic groups, vector field index, orthogonal complex structures, perfect subgroup, manifold decomposition, gradient flow lines, cellular tube, negative bundle, combinatorial complexes, invariant complex structures, boundary cycle, stable homotopy theory, critical manifolds, radial vector field, twistor space Key Phrases - Capitalized Phrases (CAPs): (learn more)
London Math, Princeton University Press, New York, Annals of Math, Cambridge University Press, Pure Appl, Brian Steer, Oxford University Press, Bill Thurston, Pure Math, Steve Gersten, Algebra Comput, Annals Math, Floer Memorial, Max Dehn, Roger Lyndon, World Scientific New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Perfect groups, and in particular non-abelian simple groups, are important objects of study in finite group theory in their own right. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
binate groups, isoperimetric spectrum, virtual tangent bundle, transfinite derived series, filling theorem, minimal weight vector, monotone parametrization, isoperimetric functions, quadratic isoperimetric inequality, singular disc, acyclic groups, vector field index, orthogonal complex structures, perfect subgroup, manifold decomposition, gradient flow lines, cellular tube, negative bundle, combinatorial complexes, invariant complex structures, boundary cycle, stable homotopy theory, critical manifolds, radial vector field, twistor space Key Phrases - Capitalized Phrases (CAPs): (learn more)
London Math, Princeton University Press, New York, Annals of Math, Cambridge University Press, Pure Appl, Brian Steer, Oxford University Press, Bill Thurston, Pure Math, Steve Gersten, Algebra Comput, Annals Math, Floer Memorial, Max Dehn, Roger Lyndon, World Scientific New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 65
books:
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cites this book:
- Group Theory by Author Unknown on page 24, and page 25
- Principles of Algebraic Geometry by Phillip Griffiths on page 206, and page 289
- Combinatorial Group Theory (Classics in Mathematics) by Roger C. Lyndon on page 26, and page 89
- Floer Memorial Volume (Progress in Mathematics) by Helmut Hofer on page 205, and page 207
- The Geometry of Four-Manifolds (Oxford Mathematical Monographs) by S. K. Donaldson on page 232, and page 288
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