Traditional literature in mathematical physics is clustered around classical mechanics, especially fluids and elasticity. This book reflects the modern development of theoretical physics in the areas of field theories: classical, quantum, and gravitational, in which differential equations play essential roles and offer powerful insight. Yang here presents a broad range of fundamental topics in theoretical and mathematical physics based on the viewpoint of differential equations. The subject areas covered include classical and quantum many-body problems, thermodynamics, electromagnetism, magnetic monopoles, special relativity, gauge field theories, general relativity, superconductivity, vortices and other topological solitons, and canonical quantization of fields, for which knowledge and use of linear and nonlinear differential equations are essential for comprehension. Much emphasis is given to the mathematical and physical content offering an appreciation of the interplay of mathematics and theoretical physics from the viewpoint of differential equations. Advanced methods and techniques of modern nonlinear functional analysis are kept to a minimum and each chapter is supplemented with a collection of exercises of varied depths making it an ideal resource for students and researchers alike.

About the Author
Yisong Yang is a Professor of Mathematics, Courant Institute of Mathematical Sciences, New York University. He received his Ph.D. in Mathematics from the University of Massachusetts at Amherst in 1988.


Book Information
ISBN 9780192872623
Author Yisong Yang
Format Paperback
Page Count 496
Imprint Oxford University Press
Publisher Oxford University Press
Weight(grams) 1g
Dimensions(mm) 233mm * 155mm * 30mm