Mathematical Physics with Differential Equations

The book discusses the modern development of theoretical physics, focusing on field theories and differential equations. It covers a broad range of topics, including classical and quantum many-body problems, thermodynamics, electromagnetism, and more, and is supplemented with exercises for students and researchers.

Format: Paperback / softback
Length: 496 pages
Publication date: 27 July 2023
Publisher: Oxford University Press

Traditional literature in mathematical physics revolves around classical mechanics, particularly fluids and elasticity. This comprehensive book captures the contemporary advancements in theoretical physics, encompassing field theories such as classical, quantum, and gravitational dynamics, where differential equations assume pivotal roles and provide profound insights. Yang presents a diverse array of fundamental topics in theoretical and mathematical physics, grounded in the perspective of differential equations. The subject areas covered span classical and quantum many-body problems, thermodynamics, electromagnetism, magnetic monopoles, special relativity, gauge field theories, general relativity, superconductivity, vortices, and other topological solitons, all of which require a solid understanding of linear and nonlinear differential equations. A significant emphasis is placed on the mathematical and physical content, fostering an appreciation of the interplay between mathematics and theoretical physics through the lens of differential equations. Advanced methods and techniques of modern nonlinear functional analysis are kept to a minimum, while each chapter is supplemented with a comprehensive collection of exercises of varying difficulty, making it an invaluable resource for students and researchers alike.

Weight: 986g
Dimension: 157 x 235 x 32 (mm)
ISBN-13: 9780192872623