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Titlebook: Classical Topology and Combinatorial Group Theory; John Stillwell Textbook 1993Latest edition Springer-Verlag New York Inc. 1993 Abelian g

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書目名稱Classical Topology and Combinatorial Group Theory
編輯John Stillwell
視頻videohttp://file.papertrans.cn/228/227144/227144.mp4
叢書名稱Graduate Texts in Mathematics
圖書封面Titlebook: Classical Topology and Combinatorial Group Theory;  John Stillwell Textbook 1993Latest edition Springer-Verlag New York Inc. 1993 Abelian g
描述In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigsberg, Euler‘s polyhedron formula, and knots, the student is led to expect that these picturesque ideas will come to full flower in university topology courses. What a disappointment "undergraduate topology" proves to be! In most institutions it is either a service course for analysts, on abstract spaces, or else an introduction to homological algebra in which the only geometric activity is the completion of commutative diagrams. Pictures are kept to a minimum, and at the end the student still does nr~ understand the simplest topological facts, such as the rcason why knots exist. In my opinion, a well-balanced introduction to topology should stress its intuitive geometric aspect, while admitting the legitimate interest that analysts and algebraists have in the subject. At any rate, this is the aim of the present book. In support of this view, I have followed the historical development where practicable, since it clearly shows the influence of geometric thought at all stages. This is not to claim that topology received its main impetus fro
出版日期Textbook 1993Latest edition
關(guān)鍵詞Abelian group; Group; Group theory; Gruppe (Math; ); Kombinatorik; Topologie; Topology
版次2
doihttps://doi.org/10.1007/978-1-4612-4372-4
isbn_softcover978-1-4612-8749-0
isbn_ebook978-1-4612-4372-4Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer-Verlag New York Inc. 1993
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Introduction and Foundations,ders two figures to be the same if each can be carried into the other by a rigid motion, topology considers two figures to be the same if each can be mapped onto the other by a one-to-one continuous function. Such figures are called topologically equivalent, or ., and the problem of deciding whether two figures are homeomorphic is called the ..
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Research Methods in NeurochemistryThe concept of a Turing machine was introduced in 0.4.1, as a machine that controls a read/write head moving on an infinite tape. We shall now explain the concept in more detail and give a few examples that illustrate how Turing machines compute functions and solve problems.
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Unsolvable Problems,The concept of a Turing machine was introduced in 0.4.1, as a machine that controls a read/write head moving on an infinite tape. We shall now explain the concept in more detail and give a few examples that illustrate how Turing machines compute functions and solve problems.
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Graduate Texts in Mathematicshttp://image.papertrans.cn/c/image/227144.jpg
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