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OverviewThis introduction to topology, which is a revised, 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. The book contains many 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. This text is aimed at researchers and graduate students whose work involves the application of topology, homotopy and homology theories. Full Product DetailsAuthor: Yu.G. Borisovich , N.M. Bliznyakov , T.N. Fomenko , Y.A. IzrailevichPublisher: Springer Imprint: Springer Edition: 2nd edition Volume: 9 Dimensions: Width: 15.60cm , Height: 2.80cm , Length: 23.40cm Weight: 1.950kg ISBN: 9780792334996ISBN 10: 079233499 Pages: 493 Publication Date: 31 May 1995 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents1. First notions of topology.- 2. General Topology.- 3. Homotopy theory.- 4. Manifolds and fiberings.- 5. Homology theory.- References.- About the authors and the book.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |