Introduction to Differential and Algebraic Topology by Yu.G. BorisovichIntroduction to Differential and Algebraic Topology by Yu.G. Borisovich

Introduction to Differential and Algebraic Topology

byYu.G. Borisovich, N.M. Bliznyakov, T.N. Fomenko

Paperback | December 6, 2010

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This Introduction to Topology, which is a thoroughly revised, extensively rewritten, second edition of the work first published in Russian in 1980, is a primary manual of topology. It contains the basic concepts and theorems of general topology and homotopy theory, the classification of two-dimensional surfaces, an outline of smooth manifold theory and mappings of smooth manifolds. Elements of Morse and homology theory, with their application to fixed points, are also included. Finally, the role of topology in mathematical analysis, geometry, mechanics and differential equations is illustrated. Introduction to Topology contains many attractive illustrations drawn by A. T. Frenko, which, while forming an integral part of the book, also reflect the visual and philosophical aspects of modern topology. Each chapter ends with a review of the recommended literature. Audience: Researchers and graduate students whose work involves the application of topology, homotopy and homology theories.
Title:Introduction to Differential and Algebraic TopologyFormat:PaperbackDimensions:502 pagesPublished:December 6, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048145589

ISBN - 13:9789048145584

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Table of Contents

Preface. 1: First Notions of Topology. 2: General Topology. 3: Homotopy Theory. 4: Manifolds and Fiberings. 5: Homology Theory. References. Subject Index. About the authors and the book.