Introduction to Differential and Algebraic Topology

By (author) Borisovich, Yurii G.; By (author) Bliznyakov, Nikolai M.; By (author) Fomenko, Tatyana N.; By (author) Izrailevich, Yakov A.

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.

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[目次]

  • 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.

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この本の情報

書名 Introduction to Differential and Algebraic Topology
著作者等 Bliznyakov, Nikolai M.
Fomenko, Tatyana N.
Izrailevich, Yakov A.
Borisovich, Yurii G.
シリーズ名 Texts in the Mathematical Sciences 9
出版元 Springer
刊行年月 2010.12.06
版表示 1st ed. Softcover of orig. ed. 1995
ページ数 502p
大きさ H235 x W155
ISBN 9789048145584
言語 英語
出版国 オランダ
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