Free Differential Topology ebooks. Categorized directory of free Differential Topology books. Read online or download free ebooks in different formats.
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18
Ebook Details
Author
Bjorn Ian Dundas
Publisher
Johns Hopkins University 2002
This is an elementary text book for the civil engineering students with no prior background in point-set topology. This is a rather terse mathematical text, but provided with an abundant supply of examples and exercises with hints.
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18
Ebook Details
Author
Dirk Schuetz
Publisher
University of Sheffield 2009
These notes describe basic material about smooth manifolds (vector fields, flows, tangent bundle, partitions of unity, Whitney embedding theorem, foliations, etc...), introduction to Morse theory, and various applications.
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15
Ebook Details
Author
Karl-Hermann Neeb
Publisher
FAU Erlangen-Nuernberg 2010
From the table of contents: Basic Concepts (The concept of a fiber bundle, Coverings, Morphisms...); Bundles and Cocycles; Cohomology of Lie Algebras; Smooth G-valued Functions; Connections on Principal Bundles; Curvature; Perspectives.
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15
Ebook Details
Author
Michael Muger
Publisher
Radboud University 2005
Contents: Why Differential Topology? Basics of Differentiable Manifolds; Local structure of smooth maps; Transversality Theory; More General Theory; Differential Forms and de Rham Theory; Tensors and some Riemannian Geometry; Morse Theory; Perspectives.
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16
Ebook Details
Author
Uwe Kaiser
Publisher
Boise State University 2006
This is a preliminary version of introductory lecture notes for Differential Topology. We try to give a deeper account of basic ideas of differential topology than usual in introductory texts. Also many more examples of manifolds like matrix groups and Grassmannians are worked out in detail.
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18
Ebook Details
Category
Author
Hansjoerg Geiges
Publisher
arXiv 2004
This is an introductory text on the more topological aspects of contact geometry, written for the Handbook of Differential Geometry vol. 2. After discussing (and proving) some of the fundamental results of contact topology.
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18
Ebook Details
Author
Jie Wu
Publisher
National University of Singapore 2004
Contents: Tangent Spaces, Vector Fields in Rn and the Inverse Mapping Theorem; Topological and Differentiable Manifolds, Diffeomorphisms, Immersions, Submersions and Submanifolds; Examples of Manifolds; Fibre Bundles and Vector Bundles;
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18
Ebook Details
Author
John Morgan, Gang Tian
Publisher
American Mathematical Society 2007
This book provides full details of a complete proof of the Poincare Conjecture following Grigory Perelman's three preprints. With the large amount of background material that is presented and the detailed versions of the central arguments.
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18
Ebook Details
Author
Thomas E. Cecil, Shiing-shen Chern
Publisher
Cambridge University Press 1997
Tight and taut submanifolds form an important class of manifolds with special curvature properties, one that has been studied intensively by differential geometers since the 1950's. This book contains six in-depth articles by leading experts in the field and an extensive bibliography.
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19
Ebook Details
Author
Thomas E. Cecil, Shiing-shen Chern
Publisher
Cambridge University Press 1997
Tight and taut submanifolds form an important class of manifolds with special curvature properties, one that has been studied intensively by differential geometers since the 1950's. This book contains six in-depth articles by leading experts in the field and an extensive bibliography.