Intuitive Combinatorial Topology:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2001
|
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Topology is a relatively young and very important branch of mathematics. It studies properties of objects that are preserved by deformations, twistings, and stretchings, but not tearing. This book deals with the topology of curves and surfaces as well as with the fundamental concepts of homotopy and homology, and does this in a lively and well-motivated way. There is hardly an area of mathematics that does not make use of topological results and concepts. The importance of topological methods for different areas of physics is also beyond doubt. They are used in field theory and general relativity, in the physics of low temperatures, and in modern quantum theory. The book is well suited not only as preparation for students who plan to take a course in algebraic topology but also for advanced undergraduates or beginning graduates interested in finding out what topology is all about. The book has more than 200 problems, many examples, and over 200 illustrations |
| Beschreibung: | 1 Online-Ressource (XII, 142 p) |
| ISBN: | 9781475756043 9781441928825 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-1-4757-5604-3 |
Internformat
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| 650 | 4 | |a Mathematics | |
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| 650 | 4 | |a Algebraic topology | |
| 650 | 4 | |a Algebraic Topology | |
| 650 | 4 | |a Algebraic Geometry | |
| 650 | 4 | |a Fluid- and Aerodynamics | |
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Datensatz im Suchindex
| _version_ | 1804153094992297984 |
|---|---|
| any_adam_object | |
| author | Boltjanskij, Vladimir G. 1925-2019 |
| author_GND | (DE-588)122968050 (DE-588)1158229194 |
| author_facet | Boltjanskij, Vladimir G. 1925-2019 |
| author_role | aut |
| author_sort | Boltjanskij, Vladimir G. 1925-2019 |
| author_variant | v g b vg vgb |
| building | Verbundindex |
| bvnumber | BV042421669 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863972966 (DE-599)BVBBV042421669 |
| dewey-full | 514.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.2 |
| dewey-search | 514.2 |
| dewey-sort | 3514.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-5604-3 |
| format | Electronic eBook |
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| spelling | Boltjanskij, Vladimir G. 1925-2019 Verfasser (DE-588)122968050 aut Intuitive Combinatorial Topology by V. G. Boltyanskiĭ, V. A. Efremovich New York, NY Springer New York 2001 1 Online-Ressource (XII, 142 p) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 Topology is a relatively young and very important branch of mathematics. It studies properties of objects that are preserved by deformations, twistings, and stretchings, but not tearing. This book deals with the topology of curves and surfaces as well as with the fundamental concepts of homotopy and homology, and does this in a lively and well-motivated way. There is hardly an area of mathematics that does not make use of topological results and concepts. The importance of topological methods for different areas of physics is also beyond doubt. They are used in field theory and general relativity, in the physics of low temperatures, and in modern quantum theory. The book is well suited not only as preparation for students who plan to take a course in algebraic topology but also for advanced undergraduates or beginning graduates interested in finding out what topology is all about. The book has more than 200 problems, many examples, and over 200 illustrations Mathematics Geometry, algebraic Algebraic topology Algebraic Topology Algebraic Geometry Fluid- and Aerodynamics Mathematik Topologie (DE-588)4060425-1 gnd rswk-swf Kombinatorische Topologie (DE-588)4137530-0 gnd rswk-swf Grafische Darstellung (DE-588)4129552-3 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Topologie (DE-588)4060425-1 s Grafische Darstellung (DE-588)4129552-3 s 2\p DE-604 Kombinatorische Topologie (DE-588)4137530-0 s 3\p DE-604 Efremovič, Vadim A. Sonstige (DE-588)1158229194 oth https://doi.org/10.1007/978-1-4757-5604-3 Verlag Volltext 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 |
| spellingShingle | Boltjanskij, Vladimir G. 1925-2019 Intuitive Combinatorial Topology Mathematics Geometry, algebraic Algebraic topology Algebraic Topology Algebraic Geometry Fluid- and Aerodynamics Mathematik Topologie (DE-588)4060425-1 gnd Kombinatorische Topologie (DE-588)4137530-0 gnd Grafische Darstellung (DE-588)4129552-3 gnd |
| subject_GND | (DE-588)4060425-1 (DE-588)4137530-0 (DE-588)4129552-3 (DE-588)4151278-9 |
| title | Intuitive Combinatorial Topology |
| title_auth | Intuitive Combinatorial Topology |
| title_exact_search | Intuitive Combinatorial Topology |
| title_full | Intuitive Combinatorial Topology by V. G. Boltyanskiĭ, V. A. Efremovich |
| title_fullStr | Intuitive Combinatorial Topology by V. G. Boltyanskiĭ, V. A. Efremovich |
| title_full_unstemmed | Intuitive Combinatorial Topology by V. G. Boltyanskiĭ, V. A. Efremovich |
| title_short | Intuitive Combinatorial Topology |
| title_sort | intuitive combinatorial topology |
| topic | Mathematics Geometry, algebraic Algebraic topology Algebraic Topology Algebraic Geometry Fluid- and Aerodynamics Mathematik Topologie (DE-588)4060425-1 gnd Kombinatorische Topologie (DE-588)4137530-0 gnd Grafische Darstellung (DE-588)4129552-3 gnd |
| topic_facet | Mathematics Geometry, algebraic Algebraic topology Algebraic Topology Algebraic Geometry Fluid- and Aerodynamics Mathematik Topologie Kombinatorische Topologie Grafische Darstellung Einführung |
| url | https://doi.org/10.1007/978-1-4757-5604-3 |
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