Covering recent developments in the field, this updated text provides an introduction to the ideas and techniques of differential geometry and topology. In this edition, the applications have been greatly expanded and additional problems have been included. The author examines anomalies in gauge field theories, bosonic string theory, Brane-World cosmology, Seiberg-Witten invariants, and topological quantum computing. A solutions manual is available for qualifying instructors.
Rezensionen / Stimmen
Praise for Previous Editions:...a very impressive book.
-Australian and New Zealand Physicist
The clarity of the presentation is enhanced by explicit calculations and diagrams ... There is also a large number of exercises and problems, and last but not least, an index ... superb layout...
-Zentralblatt fur Mathematick
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Graduate students and researchers in physics, mathematics, and engineering.
Illustrationen
300 s/w Abbildungen
300 Illustrations, black and white
Maße
Höhe: 254 mm
Breite: 178 mm
ISBN-13
978-1-4398-4071-9 (9781439840719)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Autor*in
Kinki University, Osaka, Japan
FUNDAMENTALS: Quantum Physics. Mathematical Preliminaries. Homology Groups. Homotopy Groups. Knots, Links and Braids. de Rham Cohomology Groups. Riemannian Geometry. Complex Manifolds. Fiber Bundles. Connections on Fibre Bundles. Characteristic Classes. Index Theorems. APPLICATIONS: Anomalies in Gauge Field Theories. Bosonic String Theory. Brane-World Cosmology. Topological Aspects of Quantum Hall Effects and Topological Insulators. Topological Aspects of Quantum Computing. Seiberg?Witten Invariants and Topology of 4-Manifolds. Shape of the Universe. Poincare Conjecture and Ricci Flow.
