| 书目名称 | Topological Spaces | | 副标题 | From Distance to Nei | | 编辑 | Gerard Buskes,Arnoud Rooij | | 视频video | | | 丛书名称 | Undergraduate Texts in Mathematics | | 图书封面 |  | | 描述 | This book is a text, not a reference, on Point-set Topology. It addresses itself to the student who is proficient in Calculus and has some experience with mathematical rigor, acquired, e.g., via a course in Advanced Calculus or Linear Algebra. To most beginners, Topology offers a double challenge. In addition to the strangeness of concepts and techniques presented by any new subject, there is an abrupt rise of the level of abstraction. It is a bad idea to teach a student two things at the same moment. To mitigate the culture shock, we move from the special to the general, dividing the book into three parts: 1. The Line and the Plane 2. Metric Spaces 3. Topological Spaces. In this way, the student has ample time to get acquainted with new ideas while still on familiar territory. Only after that, the transition to a more abstract point of view takes place. Elementary Topology preeminently is a subject with an extensive array of technical terms indicating properties of topological spaces. In the main body of the text, we have purposely restricted our mathematical vocabulary as much as is reasonably possible. Such an enterprise is risky. Doubtlessly, many readers will find us too thri | | 出版日期 | Textbook 1997 | | 关键词 | Compact space; Compactification; Connected space; Mathematica; PostScript; boundary element method; compac | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-0665-1 | | isbn_softcover | 978-1-4612-6862-8 | | isbn_ebook | 978-1-4612-0665-1Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer Science+Business Media New York 1997 |
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发表于 2025-3-21 19:43:24
