| 书目名称 | Introduction to Differential and Algebraic Topology | | 编辑 | Yuri G. Borisovich,Nikolai M. Bliznyakov,Yakov A. | | 视频video | | | 丛书名称 | Texts in the Mathematical Sciences | | 图书封面 |  | | 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 | | 关键词 | Algebraic topology; Homotopy; homology; homotopy theory; manifold; topology | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-017-1959-9 | | isbn_softcover | 978-90-481-4558-4 | | isbn_ebook | 978-94-017-1959-9Series ISSN 0927-4529 | | issn_series | 0927-4529 | | copyright | Springer Science+Business Media Dordrecht 1995 |
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发表于 2025-3-21 18:12:32
