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Topology as a subject, in our opinion, plays a central role in university education. It is not really possible to design courses in differential geometry, mathematical analysis, differential equations, mechanics, functional analysis that correspond to the temporary state of these disciplines without involving topological concepts. Therefore, it is essential to acquaint students with topo logical research methods already in the first university courses. This textbook is one possible version of an introductory course in topo logy and elements of differential geometry, and it absolutely reflects both the authors' personal preferences and experience as lecturers and researchers. It deals with those areas of topology and geometry that are most closely related to fundamental courses in general mathematics. The educational material leaves a lecturer a free choice in designing his own course or his own seminar. We draw attention to a number of particularities in our book. The first chap ter, according to the authors' intention, should acquaint readers with topolo gical problems and concepts which arise from problems in geometry, analysis, and physics. Here, general topology (Ch. 2) is presented by introducing con structions, for example, related to the concept of quotient spaces, much earlier than various other notions of general topology thus making it possible for students to study important examples of manifolds (two-dimensional surfaces, projective spaces, orbit spaces, etc.) as topological spaces, immediately.
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Contenuti
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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Book by Borisovich Yu G Bliznyakov N M Fomenko T N
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Introduction to Differential and Algebraic Topology
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Introduction to Differential and Algebraic Topology (Texts in the Mathematical Sciences, 9)
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Introduction to Differential and Algebraic Topology (Texts in the Mathematical Sciences, 9)
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Introduction to Differential and Algebraic Topology (Hardcover)
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Kluwer Academic Publishers, Dordrecht, 1995
ISBN 10: 079233499X
ISBN 13: 9780792334996
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Hardcover. Condizione: new. Hardcover. This 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. 2) is presented by introducing con structions, for example, related to the concept of quotient spaces, much earlier than various other notions of general topology thus making it possible for students to study important examples of manifolds (two-dimensional surfaces, projective spaces, orbit spaces, etc.) as topological spaces, immediately. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780792334996
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Introduction to Differential and Algebraic Topology
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Springer Netherlands Mai 1995, 1995
ISBN 10: 079233499X
ISBN 13: 9780792334996
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Topology as a subject, in our opinion, plays a central role in university education. It is not really possible to design courses in differential geometry, mathematical analysis, differential equations, mechanics, functional analysis that correspond to the temporary state of these disciplines without involving topological concepts. Therefore, it is essential to acquaint students with topo logical research methods already in the first university courses. This textbook is one possible version of an introductory course in topo logy and elements of differential geometry, and it absolutely reflects both the authors' personal preferences and experience as lecturers and researchers. It deals with those areas of topology and geometry that are most closely related to fundamental courses in general mathematics. The educational material leaves a lecturer a free choice in designing his own course or his own seminar. We draw attention to a number of particularities in our book. The first chap ter, according to the authors' intention, should acquaint readers with topolo gical problems and concepts which arise from problems in geometry, analysis, and physics. Here, general topology (Ch. 2) is presented by introducing con structions, for example, related to the concept of quotient spaces, much earlier than various other notions of general topology thus making it possible for students to study important examples of manifolds (two-dimensional surfaces, projective spaces, orbit spaces, etc.) as topological spaces, immediately. 508 pp. Englisch. Codice articolo 9780792334996
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Introduction to Differential and Algebraic Topology
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Condizione: New. pp. 508. Codice articolo 26319165
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Introduction to Differential and Algebraic Topology
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Topology as a subject, in our opinion, plays a central role in university education. It is not really possible to design courses in differential geometry, mathematical analysis, differential equations, mechanics, functional analysis that correspond to the t. Codice articolo 5967440
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