The goal of this book is to expose the reader to the indispensable role that mathematics plays in modern physics. Starting with the notion of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex analysis, differential and integral equations, operator theory, and multi-dimensional Green's functions. The second half of the book introduces groups, manifolds, Lie groups and their representations, Clifford algebras and their representations, and fibre bundles and their applications to differential geometry and gauge theories.

This second edition is a substantial revision with a complete rewriting of many chapters and the addition of new ones, including chapters on algebras, representation of Clifford algebras, fibre bundles, and gauge theories. The spirit of the first edition, namely the balance between rigour and physical application, has been maintained, as is the abundance of historical notes and worked out examples that demonstrate the "unreasonable effectiveness of mathematics" in modern physics.

Author: Sadri Hassani
Binding Type: Hardcover
Publisher: Springer
Published: 08/19/2013
Pages: 1205
Weight: 5.4lbs
Size: 10.20h x 7.30w x 2.70d
ISBN: 9783319011943
2nd 2013 Edition


Review Citation(s):
Choice 07/01/2014

About the Author
Sadri Hassani is Professor Emeritus in the Department of Physics at Illinois State University, USA.