Surface topology. (Q2726249)

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scientific article; zbMATH DE number 1620656
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Surface topology.
scientific article; zbMATH DE number 1620656

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    16 July 2001
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    graph
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    vector field
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    fundamental group
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    map colouring
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    tessellation
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    Surface topology. (English)
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    This is the third edition of a well-known book. It gives a very simple and available introduction to surface topology and its applications. NEWLINENEWLINENEWLINEThe titles of chapters: (1) Intuitive ideas, (2) Planes models of surfaces, (3) Surfaces and plane diagrams, (4) Distinguishing surfaces, (5) Patterns on surfaces, (6) Maps and graphs, (7) Vector fields on surfaces, (8) Plane tessellation representations of compact surfaces, (9) Some applications of tessellation representations, (10) Introducing the fundamental group, (11) Surfaces with boundaries, and (12) Topology, graphs and groups. The last two chapters are added in comparison with the previous editions. NEWLINENEWLINENEWLINEThe book contains many fine illustrations and exercises and would be very useful for a short and elegant introductory course to the topic.
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