The Resource Surface topology, P.A. Firby, C.F. Gardiner

Surface topology, P.A. Firby, C.F. Gardiner

Label
Surface topology
Title
Surface topology
Statement of responsibility
P.A. Firby, C.F. Gardiner
Creator
Contributor
Subject
Language
eng
Member of
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
Instantiates
Publication
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 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?
  • 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
  • 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
Publication
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 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?
  • 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
  • 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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