| 書(shū)目名稱(chēng) | Counterexamples in Topology | | 編輯 | Lynn Arthur Steen,J. Arthur Seebach | | 視頻video | http://file.papertrans.cn/240/239091/239091.mp4 | | 圖書(shū)封面 |  | | 描述 | The creative process of mathematics, both historically and individually, may be described as a counterpoint between theorems and examples. Al- though it would be hazardous to claim that the creation of significant examples is less demanding than the development of theory, we have dis- covered that focusing on examples is a particularly expeditious means of involving undergraduate mathematics students in actual research. Not only are examples more concrete than theorems-and thus more accessible-but they cut across individual theories and make it both appropriate and neces- sary for the student to explore the entire literature in journals as well as texts. Indeed, much of the content of this book was first outlined by under- graduate research teams working with the authors at Saint Olaf College during the summers of 1967 and 1968. In compiling and editing material for this book, both the authors and their undergraduate assistants realized a substantial increment in topologi- cal insight as a direct result of chasing through details of each example. We hope our readers will have a similar experience. Each of the 143 examples in this book provides innumerable concrete illustrations of | | 出版日期 | Book 1978Latest edition | | 關(guān)鍵詞 | Compactification; Connected space; Separation axiom; Topologie; metrizable; topology | | 版次 | 2 | | doi | https://doi.org/10.1007/978-1-4612-6290-9 | | isbn_softcover | 978-0-387-90312-5 | | isbn_ebook | 978-1-4612-6290-9 | | copyright | Springer-Verlag New York Inc. 1978 |
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