书目名称 | Intuitive Combinatorial Topology | 编辑 | V. G. Boltyanskiĭ,V. A. Efremovich | 视频video | http://file.papertrans.cn/475/474547/474547.mp4 | 概述 | The text is lively, and well-motivated, encouraging reader‘s interest and progress. | 丛书名称 | Universitext | 图书封面 |  | 描述 | Topology is a relatively young and very important branch of mathematics. It studies properties of objects that are preserved by deformations, twistings, and stretchings, but not tearing. This book deals with the topology of curves and surfaces as well as with the fundamental concepts of homotopy and homology, and does this in a lively and well-motivated way. There is hardly an area of mathematics that does not make use of topological results and concepts. The importance of topological methods for different areas of physics is also beyond doubt. They are used in field theory and general relativity, in the physics of low temperatures, and in modern quantum theory. The book is well suited not only as preparation for students who plan to take a course in algebraic topology but also for advanced undergraduates or beginning graduates interested in finding out what topology is all about. The book has more than 200 problems, many examples, and over 200 illustrations. | 出版日期 | Textbook 2001 | 关键词 | Algebraic topology; Homotopy; Topology; combinatorial topology; elementary topology; homology; fluid- and | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4757-5604-3 | isbn_softcover | 978-1-4419-2882-5 | isbn_ebook | 978-1-4757-5604-3Series ISSN 0172-5939 Series E-ISSN 2191-6675 | issn_series | 0172-5939 | copyright | Springer Science+Business Media New York 2001 |
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