Elements of Noncommutative Geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2001
|
| Schriftenreihe: | Birkhäuser Advanced Texts, Basler Lehrbücher
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Our purpose and main concern in writing this book is to illuminate classical concepts from the noncommutative viewpoint, to make the language and techniques of noncommutative geometry accessible and familiar to practitioners of classical mathematics, and to benefit physicists interested in the uses of noncommutative spaces. Same may say that ours is a very "commutative" way to deal with noncommutative matters; this charge we readily admit. Noncommutative geometry amounts to a program of unification of mathematics under the aegis of the quantum apparatus, i.e., the theory of operators and of C*-algebras. Largely the creation of a single person, Alain Connes, noncommutative geometry is just coming of age as the new century opens. The bible of the subject is, and will remain, Connes' Noncommutative Geometry (1994), itself the "3.8-fold expansion" of the French Geometrie non commutative ( 1990). These are extraordinary books, a "tapestry" of physics and mathematics, in the words of Vaughan jones, and the work of a "poet of modern science," according to Daniel Kastler, replete with subtle knowledge and insights apt to inspire several generations |
| Beschreibung: | 1 Online-Ressource (XVIII, 686 p) |
| ISBN: | 9781461200055 9781461265696 |
| ISSN: | 1019-6242 |
| DOI: | 10.1007/978-1-4612-0005-5 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804153089991639040 |
|---|---|
| any_adam_object | |
| author | Gracia-Bondía, José M. |
| author_facet | Gracia-Bondía, José M. |
| author_role | aut |
| author_sort | Gracia-Bondía, José M. |
| author_variant | j m g b jmg jmgb |
| building | Verbundindex |
| bvnumber | BV042419401 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
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| dewey-full | 516.36 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.36 |
| dewey-search | 516.36 |
| dewey-sort | 3516.36 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0005-5 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9781461200055 9781461265696 |
| issn | 1019-6242 |
| language | English |
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| spelling | Gracia-Bondía, José M. Verfasser aut Elements of Noncommutative Geometry by José M. Gracia-Bondía, Joseph C. Várilly, Héctor Figueroa Boston, MA Birkhäuser Boston 2001 1 Online-Ressource (XVIII, 686 p) txt rdacontent c rdamedia cr rdacarrier Birkhäuser Advanced Texts, Basler Lehrbücher 1019-6242 Our purpose and main concern in writing this book is to illuminate classical concepts from the noncommutative viewpoint, to make the language and techniques of noncommutative geometry accessible and familiar to practitioners of classical mathematics, and to benefit physicists interested in the uses of noncommutative spaces. Same may say that ours is a very "commutative" way to deal with noncommutative matters; this charge we readily admit. Noncommutative geometry amounts to a program of unification of mathematics under the aegis of the quantum apparatus, i.e., the theory of operators and of C*-algebras. Largely the creation of a single person, Alain Connes, noncommutative geometry is just coming of age as the new century opens. The bible of the subject is, and will remain, Connes' Noncommutative Geometry (1994), itself the "3.8-fold expansion" of the French Geometrie non commutative ( 1990). These are extraordinary books, a "tapestry" of physics and mathematics, in the words of Vaughan jones, and the work of a "poet of modern science," according to Daniel Kastler, replete with subtle knowledge and insights apt to inspire several generations Mathematics Global differential geometry Cell aggregation / Mathematics Quantum theory Differential Geometry Applications of Mathematics Manifolds and Cell Complexes (incl. Diff.Topology) Quantum Physics Mathematik Quantentheorie Nichtkommutative Geometrie (DE-588)4171742-9 gnd rswk-swf Nichtkommutative Differentialgeometrie (DE-588)4311174-9 gnd rswk-swf Nichtkommutative Geometrie (DE-588)4171742-9 s 1\p DE-604 Nichtkommutative Differentialgeometrie (DE-588)4311174-9 s 2\p DE-604 Várilly, Joseph C. Sonstige oth Figueroa, Héctor Sonstige oth https://doi.org/10.1007/978-1-4612-0005-5 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 | Gracia-Bondía, José M. Elements of Noncommutative Geometry Mathematics Global differential geometry Cell aggregation / Mathematics Quantum theory Differential Geometry Applications of Mathematics Manifolds and Cell Complexes (incl. Diff.Topology) Quantum Physics Mathematik Quantentheorie Nichtkommutative Geometrie (DE-588)4171742-9 gnd Nichtkommutative Differentialgeometrie (DE-588)4311174-9 gnd |
| subject_GND | (DE-588)4171742-9 (DE-588)4311174-9 |
| title | Elements of Noncommutative Geometry |
| title_auth | Elements of Noncommutative Geometry |
| title_exact_search | Elements of Noncommutative Geometry |
| title_full | Elements of Noncommutative Geometry by José M. Gracia-Bondía, Joseph C. Várilly, Héctor Figueroa |
| title_fullStr | Elements of Noncommutative Geometry by José M. Gracia-Bondía, Joseph C. Várilly, Héctor Figueroa |
| title_full_unstemmed | Elements of Noncommutative Geometry by José M. Gracia-Bondía, Joseph C. Várilly, Héctor Figueroa |
| title_short | Elements of Noncommutative Geometry |
| title_sort | elements of noncommutative geometry |
| topic | Mathematics Global differential geometry Cell aggregation / Mathematics Quantum theory Differential Geometry Applications of Mathematics Manifolds and Cell Complexes (incl. Diff.Topology) Quantum Physics Mathematik Quantentheorie Nichtkommutative Geometrie (DE-588)4171742-9 gnd Nichtkommutative Differentialgeometrie (DE-588)4311174-9 gnd |
| topic_facet | Mathematics Global differential geometry Cell aggregation / Mathematics Quantum theory Differential Geometry Applications of Mathematics Manifolds and Cell Complexes (incl. Diff.Topology) Quantum Physics Mathematik Quantentheorie Nichtkommutative Geometrie Nichtkommutative Differentialgeometrie |
| url | https://doi.org/10.1007/978-1-4612-0005-5 |
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