Differential manifolds:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston
Academic Press
c1993
|
| Schriftenreihe: | Pure and applied mathematics (Academic Press)
138 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Differential Manifolds is a modern graduate-level introduction to the important field of differential topology. The concepts of differential topology lie at the heart of many mathematical disciplines such as differential geometry and the theory of lie groups. The book introduces both the h-cobordism theorem and the classification of differential structures on spheres. The presentation of a number of topics in a clear and simple fashion make this book an outstanding choice for a graduate course in differential topology as well as for individual study. Key Features * Presents the study and classification of smooth structures on manifolds * It begins with the elements of theory and concludes with an introduction to the method of surgery * Chapters 1-5 contain a detailed presentation of the foundations of differential topology--no knowledge of algebraic topology is required for this self-contained section * Chapters 6-8 begin by explaining the joining of manifolds along submanifolds, and ends with the proof of the h-cobordism theory * Chapter 9 presents the Pontriagrin construction, the principle link between differential topology and homotopy theory; The final chapter introduces the method of surgery and applies it to the classification of smooth structures on spheres Includes bibliographical references (p. 233-239) and index |
| Beschreibung: | 1 Online-Ressource (xvi, 248 p.) |
| ISBN: | 9780124218505 0124218504 9780080874586 0080874584 1281766542 9781281766540 |
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| 100 | 1 | |a Kosinski, Antoni A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Differential manifolds |c Antoni A. Kosinski |
| 264 | 1 | |a Boston |b Academic Press |c c1993 | |
| 300 | |a 1 Online-Ressource (xvi, 248 p.) | ||
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| 490 | 0 | |a Pure and applied mathematics (Academic Press) |v 138 | |
| 500 | |a Differential Manifolds is a modern graduate-level introduction to the important field of differential topology. The concepts of differential topology lie at the heart of many mathematical disciplines such as differential geometry and the theory of lie groups. The book introduces both the h-cobordism theorem and the classification of differential structures on spheres. The presentation of a number of topics in a clear and simple fashion make this book an outstanding choice for a graduate course in differential topology as well as for individual study. Key Features * Presents the study and classification of smooth structures on manifolds * It begins with the elements of theory and concludes with an introduction to the method of surgery * Chapters 1-5 contain a detailed presentation of the foundations of differential topology--no knowledge of algebraic topology is required for this self-contained section * Chapters 6-8 begin by explaining the joining of manifolds along submanifolds, and ends with the proof of the h-cobordism theory * Chapter 9 presents the Pontriagrin construction, the principle link between differential topology and homotopy theory; The final chapter introduces the method of surgery and applies it to the classification of smooth structures on spheres | ||
| 500 | |a Includes bibliographical references (p. 233-239) and index | ||
| 650 | 4 | |a Topological spaces | |
| 650 | 4 | |a Variétés différentiables | |
| 650 | 7 | |a Differentiable manifolds |2 fast | |
| 650 | 7 | |a MATHEMATICS / Topology |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS / Pre-Calculus |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS / Reference |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS / Essays |2 bisacsh | |
| 650 | 4 | |a Differentiable manifolds | |
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Kosinski, Antoni A. |
| author_facet | Kosinski, Antoni A. |
| author_role | aut |
| author_sort | Kosinski, Antoni A. |
| author_variant | a a k aa aak |
| building | Verbundindex |
| bvnumber | BV042317651 |
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| ctrlnum | (ZDB-33-EBS)ocn316566781 (OCoLC)316566781 (DE-599)BVBBV042317651 |
| dewey-full | 514/.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.3 |
| dewey-search | 514/.3 |
| dewey-sort | 3514 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:17Z |
| institution | BVB |
| isbn | 9780124218505 0124218504 9780080874586 0080874584 1281766542 9781281766540 |
| language | English |
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| physical | 1 Online-Ressource (xvi, 248 p.) |
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| spelling | Kosinski, Antoni A. Verfasser aut Differential manifolds Antoni A. Kosinski Boston Academic Press c1993 1 Online-Ressource (xvi, 248 p.) txt rdacontent c rdamedia cr rdacarrier Pure and applied mathematics (Academic Press) 138 Differential Manifolds is a modern graduate-level introduction to the important field of differential topology. The concepts of differential topology lie at the heart of many mathematical disciplines such as differential geometry and the theory of lie groups. The book introduces both the h-cobordism theorem and the classification of differential structures on spheres. The presentation of a number of topics in a clear and simple fashion make this book an outstanding choice for a graduate course in differential topology as well as for individual study. Key Features * Presents the study and classification of smooth structures on manifolds * It begins with the elements of theory and concludes with an introduction to the method of surgery * Chapters 1-5 contain a detailed presentation of the foundations of differential topology--no knowledge of algebraic topology is required for this self-contained section * Chapters 6-8 begin by explaining the joining of manifolds along submanifolds, and ends with the proof of the h-cobordism theory * Chapter 9 presents the Pontriagrin construction, the principle link between differential topology and homotopy theory; The final chapter introduces the method of surgery and applies it to the classification of smooth structures on spheres Includes bibliographical references (p. 233-239) and index Topological spaces Variétés différentiables Differentiable manifolds fast MATHEMATICS / Topology bisacsh MATHEMATICS / Pre-Calculus bisacsh MATHEMATICS / Reference bisacsh MATHEMATICS / Essays bisacsh Differentiable manifolds Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd rswk-swf Differentialtopologie (DE-588)4012255-4 gnd rswk-swf Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 s 1\p DE-604 Differentialtopologie (DE-588)4012255-4 s 2\p DE-604 http://www.sciencedirect.com/science/book/9780124218505 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 |
| spellingShingle | Kosinski, Antoni A. Differential manifolds Topological spaces Variétés différentiables Differentiable manifolds fast MATHEMATICS / Topology bisacsh MATHEMATICS / Pre-Calculus bisacsh MATHEMATICS / Reference bisacsh MATHEMATICS / Essays bisacsh Differentiable manifolds Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd Differentialtopologie (DE-588)4012255-4 gnd |
| subject_GND | (DE-588)4012269-4 (DE-588)4012255-4 |
| title | Differential manifolds |
| title_auth | Differential manifolds |
| title_exact_search | Differential manifolds |
| title_full | Differential manifolds Antoni A. Kosinski |
| title_fullStr | Differential manifolds Antoni A. Kosinski |
| title_full_unstemmed | Differential manifolds Antoni A. Kosinski |
| title_short | Differential manifolds |
| title_sort | differential manifolds |
| topic | Topological spaces Variétés différentiables Differentiable manifolds fast MATHEMATICS / Topology bisacsh MATHEMATICS / Pre-Calculus bisacsh MATHEMATICS / Reference bisacsh MATHEMATICS / Essays bisacsh Differentiable manifolds Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd Differentialtopologie (DE-588)4012255-4 gnd |
| topic_facet | Topological spaces Variétés différentiables Differentiable manifolds MATHEMATICS / Topology MATHEMATICS / Pre-Calculus MATHEMATICS / Reference MATHEMATICS / Essays Differenzierbare Mannigfaltigkeit Differentialtopologie |
| url | http://www.sciencedirect.com/science/book/9780124218505 |
| work_keys_str_mv | AT kosinskiantonia differentialmanifolds |