Geometry, Topology and Physics

Offers an introduction to the ideas and techniques of differential geometry and topology. This work starts with a brief survey of quantum field theory, gauge theory, general relativity, vector spaces, and topology. It also demonstrates elaborate concepts of topology and geometry, including fiber bundles, characteristic classes, and index theorems.

List of contents

Quantum Physics. Mathematical Preliminaries. Homology Groups. Homotopy Groups. Manifolds. DeRham Cohomology Groups. Riemannian Geometry. Complex Manifolds. Fibre Bundles. Connections on Fibre Bundles. Characteristic Classes. Index Theorems. Anomalies in Gauge Field Theories. Bosonic String Theory. References. Index.

About the author

Mikio Nakahara

Summary

Offers an introduction to the ideas and techniques of differential geometry and topology. This work starts with a brief survey of quantum field theory, gauge theory, general relativity, vector spaces, and topology. It also demonstrates elaborate concepts of topology and geometry, including fiber bundles, characteristic classes, and index theorems.

Product details

• Authors: Mikio Nakahara, Mikio (Kinki University Nakahara, Nakahara Mikio
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 31.12.2018
• EAN: 9781138413368
• ISBN: 978-1-138-41336-8
• No. of pages: 596
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; SCIENCE / Physics / General, MATHEMATICS / Geometry / General, geometry, Physics