| Document Type
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BL
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| Record Number
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1020639
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| Doc. No
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b775009
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| Main Entry
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Firby, P. A.,1946-
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| Title & Author
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Surface topology /\ P.A. Firby, C.F. Gardiner.
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| Edition Statement
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2nd ed.
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| Publication Statement
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New York :: Ellis Horwood,, 1991.
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| Series Statement
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Mathematics and its applications
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| Page. NO
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220 pages :: illustrations ;; 24 cm
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| ISBN
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0138553211
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: 9780138553210
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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1: Intuitive Ideas. 1.1: Introduction. 1.2: Preliminary skirmish. 1.3: Models. 1.4: Connected sets. 1.5: Problem surfaces. 1.6: Homeomorphic surfaces. 1.7: Some basic surfaces. 1.8: Orientability. 1.9: The connected sum construction. 1.10: Summary. 1.11: Exercises -- 2: Plane Models of Surfaces. 2.1: The basic plane models. 2.2: Paper models of the basic surfaces. 2.3: Plane models and orientability. 2.4: Connected sums of the basic surfaces. 2.5: Summary. 2.6: Comments. 2.7: Exercises -- 3: Surfaces as Plane Diagrams. 3.1: Plane models and the connected sum construction. 3.2: Algebraic description of surfaces. 3.3: Orientable 2n-gons. 3.4: Non-orientable 2n-gons. 3.5: The working definition of a surface. 3.6: The classification theorem. 3.7: Summary. 3.8: Exercises -- 4: Distinguishing Surfaces. 4.1: Introducing [actual symbols not reproducible] (M). 4.2: [actual symbols not reproducible] (M) and the connected sum construction. 4.3: How to tell the difference. 4.4: Can you tell the difference?
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4.5: Comments. 4.6: Exercises -- 5: Patterns on Surfaces. 5.1: Patterns and [actual symbols not reproducible] (M). 5.2: Complexes. 5.3: Regular complexes. 5.4: b-Valent complexes. 5.5: Comments. 5.6: Exercises -- 6: Maps and Graphs. 6.1: Colouring maps on surfaces. 6.2: Embedding graphs in surfaces. 6.3: Planar graphs. 6.4: Outerplanar graphs. 6.5: Embedding the complete graphs. 6.6: Sprouts. 6.7: Brussels sprouts. 6.8: Comments. 6.9: Exercises -- 7: Vector Fields on Surfaces. 7.1: A water proof. 7.2: Hairy surfaces. 7.3: Interpretations of the index theorem. 7.4: Lakes. 7.5: Islands in lakes. 7.6: Islands. 7.7: Vector fields and differential equations. 7.8: Comments. 7.9: Exercises -- 8: Plane Tessellation Representations of Compact Surfaces. 8.1: Plane Euclidean geometry. 8.2: Groups. 8.3: Plane hyperbolic geometry. 8.4: Plane tessellations. 8.5: Comments. 8.6: Exercises -- 9: Some Applications of Tessellation Representations. 9.1: Introduction. 9.2: Tessellations and patterns.
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9.3: Tessellations and map colouring. 9.4: Tessellations and vector fields. 9.5: Summary. 9.6: Exercises -- 10: Introducing the Fundamental Group. 10.1: Introduction. 10.2: The fundamental group. 10.3: Isomorphic groups. 10.4: Comments. 10.5: Exercises.
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| Subject
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Algebraic topology.
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| Subject
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Surfaces.
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| Subject
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Algebraic topology.
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Surfaces.
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| Subject
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Flächentheorie.
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| Subject
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Flächentheorie.
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| Subject
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Topologie.
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| Subject
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Topologie.
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| Dewey Classification
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514/.2
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| LC Classification
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QA612.F57 1991
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| NLM classification
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*57-01msc
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31.61bcl
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57N05msc
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SK 280rvk
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SK 300rvk
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| Added Entry
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Gardiner, Cyril F.
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