Differential Manifolds:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer US
1985
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The present volume supersedes my Introduction to Differentiable Manifolds written a few years back. I have expanded the book considerably, including things like the Lie derivative, and especially the basic integration theory of differential forms, with Stokes' theorem and its various special formulations in different contexts. The foreword which I wrote in the earlier book is still quite valid and needs only slight extension here. Between advanced calculus and the three great differential theories (differential topology, differential geometry, ordinary differential equations), there lies a no-man's-land for which there exists no systematic exposition in the literature. It is the purpose of this book to fill the gap. The three differential theories are by no means independent of each other, but proceed according to their own flavor. In differential topology, one studies for instance homotopy classes of maps and the possibility of finding suitable differentiable maps in them (immersions, embeddings, isomorphisms, etc.). One may also use differentiable structures on topological manifolds to determine the topological structure of the manifold (e.g. it la Smale [26]) |
| Beschreibung: | 1 Online-Ressource (IX, 230p) |
| ISBN: | 9781468402650 9780387961132 |
| DOI: | 10.1007/978-1-4684-0265-0 |
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| 500 | |a The present volume supersedes my Introduction to Differentiable Manifolds written a few years back. I have expanded the book considerably, including things like the Lie derivative, and especially the basic integration theory of differential forms, with Stokes' theorem and its various special formulations in different contexts. The foreword which I wrote in the earlier book is still quite valid and needs only slight extension here. Between advanced calculus and the three great differential theories (differential topology, differential geometry, ordinary differential equations), there lies a no-man's-land for which there exists no systematic exposition in the literature. It is the purpose of this book to fill the gap. The three differential theories are by no means independent of each other, but proceed according to their own flavor. In differential topology, one studies for instance homotopy classes of maps and the possibility of finding suitable differentiable maps in them (immersions, embeddings, isomorphisms, etc.). One may also use differentiable structures on topological manifolds to determine the topological structure of the manifold (e.g. it la Smale [26]) | ||
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Datensatz im Suchindex
| _version_ | 1804153093627052032 |
|---|---|
| any_adam_object | |
| author | Lang, Serge |
| author_facet | Lang, Serge |
| author_role | aut |
| author_sort | Lang, Serge |
| author_variant | s l sl |
| building | Verbundindex |
| bvnumber | BV042421026 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863920939 (DE-599)BVBBV042421026 |
| dewey-full | 514.34 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.34 |
| dewey-search | 514.34 |
| dewey-sort | 3514.34 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4684-0265-0 |
| format | Electronic eBook |
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| id | DE-604.BV042421026 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:08Z |
| institution | BVB |
| isbn | 9781468402650 9780387961132 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027856443 |
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| physical | 1 Online-Ressource (IX, 230p) |
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| publishDate | 1985 |
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| spelling | Lang, Serge Verfasser aut Differential Manifolds by Serge Lang New York, NY Springer US 1985 1 Online-Ressource (IX, 230p) txt rdacontent c rdamedia cr rdacarrier The present volume supersedes my Introduction to Differentiable Manifolds written a few years back. I have expanded the book considerably, including things like the Lie derivative, and especially the basic integration theory of differential forms, with Stokes' theorem and its various special formulations in different contexts. The foreword which I wrote in the earlier book is still quite valid and needs only slight extension here. Between advanced calculus and the three great differential theories (differential topology, differential geometry, ordinary differential equations), there lies a no-man's-land for which there exists no systematic exposition in the literature. It is the purpose of this book to fill the gap. The three differential theories are by no means independent of each other, but proceed according to their own flavor. In differential topology, one studies for instance homotopy classes of maps and the possibility of finding suitable differentiable maps in them (immersions, embeddings, isomorphisms, etc.). One may also use differentiable structures on topological manifolds to determine the topological structure of the manifold (e.g. it la Smale [26]) Mathematics Cell aggregation / Mathematics Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Riemannscher Raum (DE-588)4128295-4 gnd rswk-swf 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 Riemannscher Raum (DE-588)4128295-4 s 2\p DE-604 Differentialtopologie (DE-588)4012255-4 s 3\p DE-604 Differentialgeometrie (DE-588)4012248-7 s 4\p DE-604 Mannigfaltigkeit (DE-588)4037379-4 s 5\p DE-604 https://doi.org/10.1007/978-1-4684-0265-0 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 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lang, Serge Differential Manifolds Mathematics Cell aggregation / Mathematics Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Mannigfaltigkeit (DE-588)4037379-4 gnd Differentialgeometrie (DE-588)4012248-7 gnd Riemannscher Raum (DE-588)4128295-4 gnd Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd Differentialtopologie (DE-588)4012255-4 gnd |
| subject_GND | (DE-588)4037379-4 (DE-588)4012248-7 (DE-588)4128295-4 (DE-588)4012269-4 (DE-588)4012255-4 |
| title | Differential Manifolds |
| title_auth | Differential Manifolds |
| title_exact_search | Differential Manifolds |
| title_full | Differential Manifolds by Serge Lang |
| title_fullStr | Differential Manifolds by Serge Lang |
| title_full_unstemmed | Differential Manifolds by Serge Lang |
| title_short | Differential Manifolds |
| title_sort | differential manifolds |
| topic | Mathematics Cell aggregation / Mathematics Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Mannigfaltigkeit (DE-588)4037379-4 gnd Differentialgeometrie (DE-588)4012248-7 gnd Riemannscher Raum (DE-588)4128295-4 gnd Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd Differentialtopologie (DE-588)4012255-4 gnd |
| topic_facet | Mathematics Cell aggregation / Mathematics Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Mannigfaltigkeit Differentialgeometrie Riemannscher Raum Differenzierbare Mannigfaltigkeit Differentialtopologie |
| url | https://doi.org/10.1007/978-1-4684-0265-0 |
| work_keys_str_mv | AT langserge differentialmanifolds |