Geometry, Topology and Physics
Seiten
1990
Institute of Physics Publishing (Verlag)
978-0-85274-095-8 (ISBN)
Institute of Physics Publishing (Verlag)
978-0-85274-095-8 (ISBN)
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This work introduces several current mathematical methods to postgraduate students of theoretical physics. This is achieved by presenting applications of the mathematics to physics; high-energy physics; and general relativity and condensed matter physics.
This textbook provides an introduction to the ideas and techniques of differential geometry and topology. It starts with a brief survey of the physics needed to follow the arguments - including quantum field theory, gauge theory and general relativity - to make sure all readers set off from the same starting point. Basic theory of vector spaces and topology is also included to make the book self-contained. Working from the basics to the more elaborate concepts of topology and geometry, all is carefully explained and illustrated with applications. Explicit calculations and diagrams clarify the abstract ideas involved. Many illustrations, exercises and problems are included. This book will be invaluable to advanced undergraduates and researchers in many areas of physics.
This textbook provides an introduction to the ideas and techniques of differential geometry and topology. It starts with a brief survey of the physics needed to follow the arguments - including quantum field theory, gauge theory and general relativity - to make sure all readers set off from the same starting point. Basic theory of vector spaces and topology is also included to make the book self-contained. Working from the basics to the more elaborate concepts of topology and geometry, all is carefully explained and illustrated with applications. Explicit calculations and diagrams clarify the abstract ideas involved. Many illustrations, exercises and problems are included. This book will be invaluable to advanced undergraduates and researchers in many areas of physics.
Mathematical preliminaries. Homology groups. Homotopy groups/manifolds. De Rham cohomology groups. Riemannian geometry. Complex manifolds. Fibre bundles. Connections on fibre bundles. Characteristic classes. Index theorems. Anomalies in gauge field theories. Bosonic string theory.
| Erscheint lt. Verlag | 1.1.1990 |
|---|---|
| Verlagsort | London |
| Sprache | englisch |
| Maße | 156 x 235 mm |
| Gewicht | 839 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Naturwissenschaften ► Physik / Astronomie | |
| ISBN-10 | 0-85274-095-6 / 0852740956 |
| ISBN-13 | 978-0-85274-095-8 / 9780852740958 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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