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Beschreibung
Written by physicists for physics students, this text assumes no detailed background in topology or geometry. Topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory. 1983 edition.
Written by physicists for physics students, this text assumes no detailed background in topology or geometry. Topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory. 1983 edition.
Über den Autor
Charles Nash is a Professor of Mathematics at the National University of Ireland. His main research interests are quantum field theory and differential topology.
Siddhartha Sen is Professor Emeritus in Applied Mathematics at the University College of Dublin.
Siddhartha Sen is Professor Emeritus in Applied Mathematics at the University College of Dublin.
Inhaltsverzeichnis
Preface
1. Basic Notions of Topology and the Value of Topological Reasoning
2. Differential Geometry: Manifolds and Differential Forms
3. The Fundamental Group
4. The Homology Groups
5. The Higher Homotopy Groups
6. Cohomology and De Rhan Cohomology
7. Fibre Bundles and Further Differential Geometry
8. Morse Theory
9. Defects, Textures, and NHomotopy Theory
10. Yang-Mills Theories: Instantons and Monopoles
Further Reading
Subject Index
1. Basic Notions of Topology and the Value of Topological Reasoning
2. Differential Geometry: Manifolds and Differential Forms
3. The Fundamental Group
4. The Homology Groups
5. The Higher Homotopy Groups
6. Cohomology and De Rhan Cohomology
7. Fibre Bundles and Further Differential Geometry
8. Morse Theory
9. Defects, Textures, and NHomotopy Theory
10. Yang-Mills Theories: Instantons and Monopoles
Further Reading
Subject Index
Details
Erscheinungsjahr: | 2011 |
---|---|
Fachbereich: | Topologie |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: | Kartoniert / Broschiert |
ISBN-13: | 9780486478524 |
ISBN-10: | 0486478521 |
UPC: | 800759478521 |
EAN: | 0800759478521 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: |
Nash, Charles
Sen, Siddhartha |
Hersteller: | Dover Publications |
Maße: | 217 x 146 x 19 mm |
Von/Mit: | Charles Nash (u. a.) |
Erscheinungsdatum: | 17.02.2011 |
Gewicht: | 0,338 kg |
Über den Autor
Charles Nash is a Professor of Mathematics at the National University of Ireland. His main research interests are quantum field theory and differential topology.
Siddhartha Sen is Professor Emeritus in Applied Mathematics at the University College of Dublin.
Siddhartha Sen is Professor Emeritus in Applied Mathematics at the University College of Dublin.
Inhaltsverzeichnis
Preface
1. Basic Notions of Topology and the Value of Topological Reasoning
2. Differential Geometry: Manifolds and Differential Forms
3. The Fundamental Group
4. The Homology Groups
5. The Higher Homotopy Groups
6. Cohomology and De Rhan Cohomology
7. Fibre Bundles and Further Differential Geometry
8. Morse Theory
9. Defects, Textures, and NHomotopy Theory
10. Yang-Mills Theories: Instantons and Monopoles
Further Reading
Subject Index
1. Basic Notions of Topology and the Value of Topological Reasoning
2. Differential Geometry: Manifolds and Differential Forms
3. The Fundamental Group
4. The Homology Groups
5. The Higher Homotopy Groups
6. Cohomology and De Rhan Cohomology
7. Fibre Bundles and Further Differential Geometry
8. Morse Theory
9. Defects, Textures, and NHomotopy Theory
10. Yang-Mills Theories: Instantons and Monopoles
Further Reading
Subject Index
Details
Erscheinungsjahr: | 2011 |
---|---|
Fachbereich: | Topologie |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: | Kartoniert / Broschiert |
ISBN-13: | 9780486478524 |
ISBN-10: | 0486478521 |
UPC: | 800759478521 |
EAN: | 0800759478521 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: |
Nash, Charles
Sen, Siddhartha |
Hersteller: | Dover Publications |
Maße: | 217 x 146 x 19 mm |
Von/Mit: | Charles Nash (u. a.) |
Erscheinungsdatum: | 17.02.2011 |
Gewicht: | 0,338 kg |
Warnhinweis