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ISBN: 9781441919137

ID: 978144191913

This text is an introduction to the theory of differentiable manifolds and fiber bundles. The only requisites are a solid background in calculus and linear algebra, together with some basic point-set topology. The first chapter provides a comprehensive overview of differentiable manifolds. The following two chapters are devoted to fiber bundles and homotopy theory of fibrations. Vector bundles have been emphasized, although principal bundles are also discussed in detail. The last three chapters study bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres. Chapter 5, with its focus on the tangent bundle, also serves as a basic introduction to Riemannian geometry in the large. This book can be used for a one-semester course on manifolds or bundles, or a two-semester course in differential geometry.Gerard Walschap is Professor of Mathematics at the University of Oklahoma where he developed this book for a series of graduate courses he has taught over the past few years. Gerard Walschap, Books, Science and Nature, Metric Structures in Differential Geometry Books>Science and Nature, Springer New York

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ISBN: 1441919139

Pasta blanda, [EAN: 9781441919137], Springer-Verlag, Springer-Verlag, Book, [PU: Springer-Verlag], Springer-Verlag, This book offers an introduction to the theory of differentiable manifolds and fiber bundles. It examines bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres., 9570051011, Análisis Matemático, 9570050011, Matemáticas, 9569917011, Ciencia y Matemáticas, 9298577011, Categorías, 9298576011, Libros, 9570066011, Geometría Diferencial, 9570063011, Geometría y Topología, 9570050011, Matemáticas, 9569917011, Ciencia y Matemáticas, 9298577011, Categorías, 9298576011, Libros, 9570069011, Topología, 9570063011, Geometría y Topología, 9570050011, Matemáticas, 9569917011, Ciencia y Matemáticas, 9298577011, Categorías, 9298576011, Libros, 9576277011, Análisis Matemático, 9576276011, Matemáticas, 9576207011, Ciencia Profesional, 9576190011, Profesional y Técnico, 9298577011, Categorías, 9298576011, Libros, 9647831011, Ciéncia y Tecnología, 9647825011, Libros en Idiomas Extranjeros, 9298577011, Categorías, 9298576011, Libros

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ISBN: 9781441919137

Paperback, [PU: Springer-Verlag New York Inc.], This book offers an introduction to the theory of differentiable manifolds and fiber bundles. It examines bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres., Differential & Riemannian Geometry

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2010, ISBN: 1441919139

ID: A12073810

Softcover reprint of the original 1st ed. 2004 Kartoniert / Broschiert Mathematik, Differentielle und Riemannsche Geometrie, Analytische Geometrie, Analytische Topologie, curvature; manifold; Immersion; Riemannian geometry; Submersion; Tensor, mit Schutzumschlag neu, [PU:Springer; Springer New York]

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2010, ISBN: 9781441919137

ID: 16197524

Softcover reprint of the original 1st ed. 2004, Softcover, Buch, [PU: Springer-Verlag New York Inc.]

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** Details of the book - Metric Structures in Differential Geometry (Graduate Texts in Mathematics)**

EAN (ISBN-13): 9781441919137

ISBN (ISBN-10): 1441919139

Hardcover

Paperback

Publishing year: 2010

Publisher: Springer-Verlag GmbH

240 Pages

Weight: 0,369 kg

Language: eng/Englisch

Book in our database since 10.11.2010 23:16:17

Book found last time on 30.11.2017 15:41:39

ISBN/EAN: 9781441919137

ISBN - alternate spelling:

1-4419-1913-9, 978-1-4419-1913-7

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