Basic Concepts of Synthetic Differential Geometry:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Boston, MA
Springer US
1996
|
| Schriftenreihe: | Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series
13 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-1-4757-4588-7 https://doi.org/10.1007/978-1-4757-4588-7 https://doi.org/10.1007/978-1-4757-4588-7 https://doi.org/10.1007/978-1-4757-4588-7 https://doi.org/10.1007/978-1-4757-4588-7 |
| Beschreibung: | Starting at an introductory level, the book leads rapidly to important and often new results in synthetic differential geometry. From rudimentary analysis the book moves to such important results as: a new proof of De Rham's theorem; the synthetic view of global action, going as far as the Weil characteristic homomorphism; the systematic account of structured Lie objects, such as Riemannian, symplectic, or Poisson Lie objects; the view of global Lie algebras as Lie algebras of a Lie group in the synthetic sense; and lastly the synthetic construction of symplectic structure on the cotangent bundle in general. Thus while the book is limited to a naive point of view developing synthetic differential geometry as a theory in itself, the author nevertheless treats somewhat advanced topics, which are classic in classical differential geometry but new in the synthetic context. Audience: The book is suitable as an introduction to synthetic differential geometry for students as well as more qualified mathematicians |
| Umfang: | 1 Online-Ressource (XV, 320 p) |
| ISBN: | 9781475745887 |
| ISSN: | 0927-4529 |
| DOI: | 10.1007/978-1-4757-4588-7 |
Internformat
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| 500 | |a Starting at an introductory level, the book leads rapidly to important and often new results in synthetic differential geometry. From rudimentary analysis the book moves to such important results as: a new proof of De Rham's theorem; the synthetic view of global action, going as far as the Weil characteristic homomorphism; the systematic account of structured Lie objects, such as Riemannian, symplectic, or Poisson Lie objects; the view of global Lie algebras as Lie algebras of a Lie group in the synthetic sense; and lastly the synthetic construction of symplectic structure on the cotangent bundle in general. Thus while the book is limited to a naive point of view developing synthetic differential geometry as a theory in itself, the author nevertheless treats somewhat advanced topics, which are classic in classical differential geometry but new in the synthetic context. Audience: The book is suitable as an introduction to synthetic differential geometry for students as well as more qualified mathematicians | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Algebra | |
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| 650 | 4 | |a Differential Geometry | |
| 650 | 4 | |a Category Theory, Homological Algebra | |
| 650 | 4 | |a Mathematical Logic and Foundations | |
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Datensatz im Suchindex
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| dewey-full | 516.36 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-4588-7 |
| format | Electronic eBook |
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| id | DE-604.BV042421628 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:45Z |
| institution | BVB |
| isbn | 9781475745887 |
| issn | 0927-4529 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857045 |
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| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XV, 320 p) |
| psigel | ZDB-2-SMA ZDB-2-SMA_Archive |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer US |
| record_format | marc |
| series2 | Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series |
| spellingShingle | Lavendhomme, René Basic Concepts of Synthetic Differential Geometry Mathematics Algebra Global differential geometry Logic, Symbolic and mathematical Cell aggregation / Mathematics Differential Geometry Category Theory, Homological Algebra Mathematical Logic and Foundations Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Synthetische Differentialgeometrie (DE-588)4462361-6 gnd |
| subject_GND | (DE-588)4462361-6 |
| title | Basic Concepts of Synthetic Differential Geometry |
| title_auth | Basic Concepts of Synthetic Differential Geometry |
| title_exact_search | Basic Concepts of Synthetic Differential Geometry |
| title_full | Basic Concepts of Synthetic Differential Geometry by René Lavendhomme |
| title_fullStr | Basic Concepts of Synthetic Differential Geometry by René Lavendhomme |
| title_full_unstemmed | Basic Concepts of Synthetic Differential Geometry by René Lavendhomme |
| title_short | Basic Concepts of Synthetic Differential Geometry |
| title_sort | basic concepts of synthetic differential geometry |
| topic | Mathematics Algebra Global differential geometry Logic, Symbolic and mathematical Cell aggregation / Mathematics Differential Geometry Category Theory, Homological Algebra Mathematical Logic and Foundations Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Synthetische Differentialgeometrie (DE-588)4462361-6 gnd |
| topic_facet | Mathematics Algebra Global differential geometry Logic, Symbolic and mathematical Cell aggregation / Mathematics Differential Geometry Category Theory, Homological Algebra Mathematical Logic and Foundations Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Synthetische Differentialgeometrie |
| url | https://doi.org/10.1007/978-1-4757-4588-7 |
| work_keys_str_mv | AT lavendhommerene basicconceptsofsyntheticdifferentialgeometry |