| 書目名稱 | Point-Set Topology | | 副標題 | A Working Textbook | | 編輯 | Rafael López | | 視頻video | http://file.papertrans.cn/750/749692/749692.mp4 | | 概述 | Provides a hands-on introduction to main concepts of point-set topology.Includes over 300 worked exercises presented in detail.An ideal supplement to a first course on topology | | 叢書名稱 | Springer Undergraduate Mathematics Series | | 圖書封面 |  | | 描述 | .This textbook offers a hands-on introduction to general topology, a fundamental tool in mathematics and its applications. It provides solid foundations for further study in mathematics in general, and topology in particular...Aimed at undergraduate students in mathematics with no previous exposure to topology, the book presents key concepts in a mathematically rigorous yet accessible manner, illustrated by numerous examples. The essential feature of the book is the large sets of worked exercises at the end of each chapter. All of the basic topics are covered, namely, metric spaces, continuous maps, homeomorphisms, connectedness, and compactness. The book also explains the main constructions of new topological spaces such as product spaces and quotient spaces. The final chapter makes a foray into algebraic topology with the introduction of the fundamental group...Thanks to nearly 300 solved exercises and abundant examples,?.Point-Set Topology.?is especially suitable for supplementing a first lecture course on topology for undergraduates, and it can also be utilized for independent study. The only prerequisites for reading the book are familiarity with mathematical proofs, some elem | | 出版日期 | Textbook 2024 | | 關鍵詞 | problem book topology; worked examples topology; solutions exercises topology; metric spaces; product to | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-58513-5 | | isbn_softcover | 978-3-031-58512-8 | | isbn_ebook | 978-3-031-58513-5Series ISSN 1615-2085 Series E-ISSN 2197-4144 | | issn_series | 1615-2085 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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