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The Resource Surface topology, P.A. Firby, C.F. Gardiner
Surface topology, P.A. Firby, C.F. Gardiner
Resource Information
The item Surface topology, P.A. Firby, C.F. Gardiner represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Surface topology, P.A. Firby, C.F. Gardiner represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Language
 eng
 Edition
 2nd ed.
 Extent
 220 pages
 Contents

 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 2ngons. 3.4: Nonorientable 2ngons. 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?
 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: bValent 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
 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
 Isbn
 9780138553210
 Label
 Surface topology
 Title
 Surface topology
 Statement of responsibility
 P.A. Firby, C.F. Gardiner
 Language
 eng
 Action
 committed to retain for EAST
 Cataloging source
 DLC
 http://library.link/vocab/creatorDate
 1946
 http://library.link/vocab/creatorName
 Firby, P. A.
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA612
 LC item number
 .F57 1991
 Literary form
 non fiction
 Nature of contents
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName
 Gardiner, Cyril F
 Series statement
 Mathematics and its applications
 http://library.link/vocab/subjectName

 Algebraic topology
 Surfaces
 Algebraic topology
 Surfaces
 Flächentheorie
 Topologie
 Label
 Surface topology, P.A. Firby, C.F. Gardiner
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 volume
 Carrier category code
 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents

 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 2ngons. 3.4: Nonorientable 2ngons. 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?
 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: bValent 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
 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
 Dimensions
 24 cm.
 Edition
 2nd ed.
 Extent
 220 pages
 Isbn
 9780138553210
 Lccn
 91031346
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code
 n
 Other physical details
 illustrations
 System control number

 (OCoLC)24320300
 (OCoLC)ocm24320300
 Label
 Surface topology, P.A. Firby, C.F. Gardiner
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 volume
 Carrier category code
 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents

 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 2ngons. 3.4: Nonorientable 2ngons. 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?
 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: bValent 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
 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
 Dimensions
 24 cm.
 Edition
 2nd ed.
 Extent
 220 pages
 Isbn
 9780138553210
 Lccn
 91031346
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code
 n
 Other physical details
 illustrations
 System control number

 (OCoLC)24320300
 (OCoLC)ocm24320300
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