Based on lectures given by the authors at Moscow and Leningrad Universities, this textbook gives a systematic exposition of the main parts of Topology: Homology, Homotopy, Fibre Bundles, and Smooth Manifolds. The main purpose is to present all parts of topology as a unified whole. As a methodological innovation a coordinateless approach to the theory of fibre bundles and an exposition of the foundation of differerential topology without use of differential equations is presented. Many descriptive examples and drawings are included; each section is followed by a set of well chosen exercises. The reader needs only a basic knowledge of set theory, algebra and calculus; so first-year graduate students will find a thorough an profound introduction into the advanced theory of Differential Manifolds.
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Text: English, Russian (translation)
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Seller: Better World Books, Mishawaka, IN, U.S.A.
Condition: Good. Former library copy. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Seller Inventory # 5385043-6
Seller: Chequamegon Books, Washburn, WI, U.S.A.
paperback. Condition: fine. 6 1/2 x 9 1/2 " 519 pages. translated from the Russian by A. Iacob. part of the Universitext series. "In these lectures we presented an introduction to the fundamental topics of topology: homology theory, homotopy theory, theory of bundles, and topology of manifolds. The structure of the course was well determined by the guiding term elementary topology, whose main significance reside in the fact that it made us use a rather simple apparatus.". Seller Inventory # 131610