Introduction to topology and geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Hoboken, NJ
Wiley-Interscience
2005
|
| Schriftenreihe: | Pure and applied mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 464 S. Ill., graph. Darst. |
| ISBN: | 0471662607 |
Internformat
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Datensatz im Suchindex
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| adam_text | INTRODUCTION TO TOPOLOGY AND GEOMETRY SAUL STAHL UNIVERSITY OF KANSAS
DEPARTMENT OF MATHEMATICS IWILEY- INTERSCIENCE A JOHN WILEY & SONS,
INC., PUBLICATION CONTENTS PREFACE IX ACKNOWLEDGMENTS XI 1 INFORMAL
TOPOLOGY 1 2 GRAPHS 13 2.1 NODES AND ARCS 13 2.2 TRAVERSABILITY 16 2.3
COLORINGS 22 24 PLANARITY 24 2.5 GRAPH HOMEOMORPHISMS 32 3 SURFACES 41
3.1 POLYGONAL PRESENTATIONS 41 3.2 CLOSED SURFACES 50 3.3 OPERATIONS ON
SURFACES 10 3.4 BORDERED SURFACES 19 3.5 RIEMANN SURFACES 93 4 GRAPHS
AND SURFACES 103 4-1 EMBEDDINGS AND THEIR REGIONS 103 4-2 POLYGONAL
EMBEDDINGS 113 4-3 EMBEDDING A FIXED GRAPH 118 4-4 VOLTAGE GRAPHS AND
THEIR COVERINGS 128 APPENDIX 141 5 KNOTS AND LINKS 143 5.1 PRELIMINARIES
143 5.2 LABELINGS 150 5.3 FROM GRAPHS TO LINKS AND ON TO SURFACES 158 VI
CONTENTS 5-4 THE JONES POLYNOMIAL 169 5.5 THE JONES POLYNOMIAL AND
ALTERNATING DIAGRAMS 181 5.6 KNOTS AND SURFACES 194 6 THE DIFFERENTIAL
GEOMETRY OF SURFACES 205 6.1 SURFACES, NORMALS, AND TANGENT PLANES 205
6.2 THE GAUSSIAN CURVATURE 212 6.3 THE FIRST FUNDAMENTAL FORM 219 6.4
NORMAL CURVATURES 229 6.5 THE GEODESIC POLAR PARAMETRIZATION 231 6.6
POLYHEDRAL SURFACES I 243 6.1 GAUSS S TOTAL CURVATURE THEOREM 248 6.8
POLYHEDRAL SURFACES II 253 1 RIEMANN GEOMETRIES 259 8 HYPERBOLIC
GEOMETRY 215 8.1 NEUTRAL GEOMETRY 215 8.2 THE UPPER HALF PLANE 281 8.3
THE HALF-PLANE THEOREM OF PYTHAGORAS 295 8.4 HALF-PLANE ISOMETRIES 306 9
THE FUNDAMENTAL GROUP 311 9.1 DEFINITIONS AND THE PUNCTURED PLANE . 311
9.2 SURFACES 326 9.3 3-MANIFOLDS 333 9.4 THE POINCARE CONJECTURE 358 10
GENERAL TOPOLOGY 361 10.1 METRIC AND TOPOLOGICAL SPACES 361 10.2
CONTINUITY AND HOMEOMORPHISMS 361 10.3 CONNECTEDNESS 311 10.4
COMPACTNESS 319 APPENDIX A CURVES 381 A.I PARAMETRIZATION OF CURVES AND
ARCLENGTH 381 APPENDIX B A BRIEF SURVEY OF GROUPS 399 CONTENTS VII B.I
THE GENERAL BACKGROUND 399 B.2 ABELIAN GROUPS 406 B.3 GROUP
PRESENTATIONS 401 APPENDIX C PERMUTATIONS 413 APPENDIX D MODULAR
ARITHMETIC ^I7 APPENDIX E SOLUTIONS AND HINTS TO SELECTED EXERCISES 4^1
REFERENCES AND RESOURCES 451 INDEX 451
|
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| dewey-ones | 514 - Topology |
| dewey-raw | 514 |
| dewey-search | 514 |
| dewey-sort | 3514 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T20:06:48Z |
| institution | BVB |
| isbn | 0471662607 |
| language | English |
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| physical | XI, 464 S. Ill., graph. Darst. |
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| spelling | Stahl, Saul 1942- Verfasser (DE-588)1022190660 aut Introduction to topology and geometry Saul Stahl Hoboken, NJ Wiley-Interscience 2005 XI, 464 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics Géométrie Meetkunde gtt Topologie Topologie gtt Topology Geometry Topologie (DE-588)4060425-1 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Topologie (DE-588)4060425-1 s DE-604 Geometrie (DE-588)4020236-7 s HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013142415&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stahl, Saul 1942- Introduction to topology and geometry Géométrie Meetkunde gtt Topologie Topologie gtt Topology Geometry Topologie (DE-588)4060425-1 gnd Geometrie (DE-588)4020236-7 gnd |
| subject_GND | (DE-588)4060425-1 (DE-588)4020236-7 |
| title | Introduction to topology and geometry |
| title_auth | Introduction to topology and geometry |
| title_exact_search | Introduction to topology and geometry |
| title_full | Introduction to topology and geometry Saul Stahl |
| title_fullStr | Introduction to topology and geometry Saul Stahl |
| title_full_unstemmed | Introduction to topology and geometry Saul Stahl |
| title_short | Introduction to topology and geometry |
| title_sort | introduction to topology and geometry |
| topic | Géométrie Meetkunde gtt Topologie Topologie gtt Topology Geometry Topologie (DE-588)4060425-1 gnd Geometrie (DE-588)4020236-7 gnd |
| topic_facet | Géométrie Meetkunde Topologie Topology Geometry Geometrie |
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