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Titlebook: Introduction to Differential and Algebraic Topology; Yuri G. Borisovich,Nikolai M. Bliznyakov,Yakov A. Book 1995 Springer Science+Busines

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樓主
發(fā)表于 2025-3-21 18:12:32 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Introduction to Differential and Algebraic Topology
編輯Yuri G. Borisovich,Nikolai M. Bliznyakov,Yakov A.
視頻videohttp://file.papertrans.cn/474/473614/473614.mp4
叢書名稱Texts in the Mathematical Sciences
圖書封面Titlebook: Introduction to Differential and Algebraic Topology;  Yuri G. Borisovich,Nikolai M. Bliznyakov,Yakov A.  Book 1995 Springer Science+Busines
描述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
出版日期Book 1995
關(guān)鍵詞Algebraic topology; Homotopy; homology; homotopy theory; manifold; topology
版次1
doihttps://doi.org/10.1007/978-94-017-1959-9
isbn_softcover978-90-481-4558-4
isbn_ebook978-94-017-1959-9Series ISSN 0927-4529
issn_series 0927-4529
copyrightSpringer Science+Business Media Dordrecht 1995
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沙發(fā)
發(fā)表于 2025-3-21 22:19:04 | 只看該作者
Homotopy Theory, of spaces to corresponding homomorphisms. This functorial approach allows us to transform topological problem into the corresponding algebraic one. The solvability of this “derived” algebraic problem in many cases implies the solvability of the initial topological problem.
板凳
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Homology Theory,ms of homology groups and cohomology groups. This comes about because of a better computability of homology groups and cohomology groups, although their definitions are somehwat more complicated than, for example, the definition of homotopy groups.
地板
發(fā)表于 2025-3-22 06:27:17 | 只看該作者
Book 1995try, 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 c
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Manifolds and Fiberings,In the previous chapters, we considered general properties of topological spaces and their mappings. However, in topology and its applications there appear spaces with additional structures, e.g., smooth manifolds and fibre bundles which are of great importance in many branches of modern mathematics.
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978-90-481-4558-4Springer Science+Business Media Dordrecht 1995
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