Verfügbarkeit: Surface topology

Surface topology:

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Bibliographische Detailangaben
Hauptverfasser:	Firby, P. A. (VerfasserIn), Gardiner, Cyril F. 1930- (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	New York u.a. Ellis Horwood 1991
Ausgabe:	2. ed.
Schriftenreihe:	Ellis Horwood series in mathematics and its applications : Statistics, operational research and computational mathematics section
Schlagworte:	Algebraic topology Surfaces Kompakte Fläche Oberfläche Fläche Geometrische Topologie Flächentheorie Topologie
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	220 S. Ill., zahlr. graph. Darst.
ISBN:	0138553211

Internformat

MARC


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Datensatz im Suchindex

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adam_text	Table of contents LIST OF SPECIAL SYMBOLS 9 AUTHORS PREFACE 11 PREFACE TO THE SECOND EDITION 13 1 INTUITIVE IDEAS 1.1 Introduction 15 1.2 Preliminary skirmish 16 1.3 Models 18 1.4 Connected sets 19 1.5 Problem surfaces 20 1.6 Homeomorphic surfaces 21 1.7 Some basic surfaces 24 1.8 Orientability 27 1.9 The connected sum construction 28 1.10 Summary 29 1.11 Exercises 29 2 PLANE MODELS OF SURFACES 2.1 The basic plane models 32 2.2 Paper models of the basic surfaces 37 2.3 Plane models and orientability 38 2.4 Connected sums of the basic surfaces 38 2.5 Summary 38 2.6 Comments 39 2.7 Exercises 42 3 SURFACES AS PLANE DIAGRAMS 3.1 Plane models and the connected sum construction 49 3.2 Algebraic description of surfaces 51 3.3 Orientable 2n-gons 53 3.4 Non-orientable 2n-gons 57 3.5 The working definition of a surface 59 3.6 The classification theorem 60 6 Table of contents 3.7 Summary 61 3.8 Exercises 61 4 DISTINGUISHING SURFACES 4.1 Introducing %{M) 64 4.2 x{M) and the connected sum construction 65 4.3 How to tell the difference 68 4.4 Can you tell the difference? 69 4.5 Comments 70 4.6 Exercises 71 5 PATTERNS ON SURFACES 5.1 Patterns and %(M) 77 5.2 Complexes 82 5.3 Regular complexes 86 5.4 b-Valent complexes 90 5.5 Comments 93 5.6 Exercises 94 6 MAPS AND GRAPHS 6.1 Colouring maps on surfaces 101 6.2 Embedding graphs in surfaces 105 6.3 Planar graphs 108 6.4 Outerplanar graphs 109 6.5 Embedding the complete graphs 109 6.6 Sprouts 112 6.7 Brussels sprouts 114 6.8 Comments 114 6.9 Exercises 116 7 VECTOR FIELDS ON SURFACES 7.1 A water proof 120 7.2 Hairy surfaces 122 7.3 Interpretations of the index theorem 129 7.4 Lakes 130 7.5 Islands in lakes 131 7.6 Islands 134 7.7 Vector fields and differential equations 134 7.8 Comments 137 7.9 Exercises 138 8 PLANE TESSELLATION REPRESENTATIONS OF COMPACT SURFACES 8.1 Plane Euclidean geometry 141 8.2 Groups 144 Table of contents 7 8.3 Plane hyperbolic geometry 150 8.4 Plane tessellations 154 8.5 Comments 175 8.6 Exercises 176 9 SOME APPLICATIONS OF TESSELLATION REPRESENTATIONS 9.1 Introduction 181 9.2 Tessellations and patterns 181 9.3 Tessellations and map colouring 185 9.4 Tessellations and vector fields 187 9.5 Summary 196 9.6 Exercises 196 10 INTRODUCING THE FUNDAMENTAL GROUP 10.1 Introduction 199 10.2 The fundamental group 200 10.3 Isomorphic groups 201 10.4 Comments 202 10.5 Exercises 203 Outline solutions to the exercises 205 Further reading and references 216 Index 218
any_adam_object	1
author	Firby, P. A. Gardiner, Cyril F. 1930-
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dewey-full	514/.2
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dewey-ones	514 - Topology
dewey-raw	514/.2
dewey-search	514/.2
dewey-sort	3514 12
dewey-tens	510 - Mathematics
discipline	Mathematik
edition	2. ed.
format	Book
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spelling	Firby, P. A. Verfasser aut Surface topology P. A. Firby ; C. F. Gardiner 2. ed. New York u.a. Ellis Horwood 1991 220 S. Ill., zahlr. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Ellis Horwood series in mathematics and its applications : Statistics, operational research and computational mathematics section Algebraic topology Surfaces Kompakte Fläche (DE-588)4412571-9 gnd rswk-swf Oberfläche (DE-588)4042907-6 gnd rswk-swf Fläche (DE-588)4129864-0 gnd rswk-swf Geometrische Topologie (DE-588)4156724-9 gnd rswk-swf Flächentheorie (DE-588)4475211-8 gnd rswk-swf Topologie (DE-588)4060425-1 gnd rswk-swf Topologie (DE-588)4060425-1 s Flächentheorie (DE-588)4475211-8 s DE-604 Oberfläche (DE-588)4042907-6 s 1\p DE-604 Kompakte Fläche (DE-588)4412571-9 s 2\p DE-604 Geometrische Topologie (DE-588)4156724-9 s 3\p DE-604 Fläche (DE-588)4129864-0 s 4\p DE-604 Gardiner, Cyril F. 1930- Verfasser (DE-588)109715004 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005620706&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Firby, P. A. Gardiner, Cyril F. 1930- Surface topology Algebraic topology Surfaces Kompakte Fläche (DE-588)4412571-9 gnd Oberfläche (DE-588)4042907-6 gnd Fläche (DE-588)4129864-0 gnd Geometrische Topologie (DE-588)4156724-9 gnd Flächentheorie (DE-588)4475211-8 gnd Topologie (DE-588)4060425-1 gnd
subject_GND	(DE-588)4412571-9 (DE-588)4042907-6 (DE-588)4129864-0 (DE-588)4156724-9 (DE-588)4475211-8 (DE-588)4060425-1
title	Surface topology
title_auth	Surface topology
title_exact_search	Surface topology
title_full	Surface topology P. A. Firby ; C. F. Gardiner
title_fullStr	Surface topology P. A. Firby ; C. F. Gardiner
title_full_unstemmed	Surface topology P. A. Firby ; C. F. Gardiner
title_short	Surface topology
title_sort	surface topology
topic	Algebraic topology Surfaces Kompakte Fläche (DE-588)4412571-9 gnd Oberfläche (DE-588)4042907-6 gnd Fläche (DE-588)4129864-0 gnd Geometrische Topologie (DE-588)4156724-9 gnd Flächentheorie (DE-588)4475211-8 gnd Topologie (DE-588)4060425-1 gnd
topic_facet	Algebraic topology Surfaces Kompakte Fläche Oberfläche Fläche Geometrische Topologie Flächentheorie Topologie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005620706&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT firbypa surfacetopology AT gardinercyrilf surfacetopology

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