This book 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, general relativity and condensed matter physics.
Geometry, Topology and Physics
โ Scribed by Mikio Nakahara
- Book ID
- 127435897
- Publisher
- Taylor & Francis
- Year
- 1990
- Tongue
- English
- Weight
- 5 MB
- Series
- Graduate Student Series in Physics
- Category
- Library
- ISBN
- 0585309973
No coin nor oath required. For personal study only.
โฆ Synopsis
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.
๐ SIMILAR VOLUMES
Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques
Assuming a familiarity with quantum field theory and relativity, Nakahara (physics, Kinki University) explains the basic concepts of algebraic topology and differential geometry, defines the various types of fiber bundles and connections on fiber bundles, and applies the methods to anomalies appeari
Application of the concepts and methods of topology and geometry have led to a deeper understanding of many crucial aspects in condensed matter physics, cosmology, gravity and particle physics. This book can be considered an advanced textbook on modern applications and recent developments in these f
Application of the concepts and methods of topology and geometry have led to a deeper understanding of many crucial aspects in condensed matter physics, cosmology, gravity and particle physics. This book can be considered an advanced textbook on modern applications and recent developments in these f