Studies in Theoretical Physics : Advanced Mathematical Methods

Unlike other standard textbooks in mathematical methods, this second Volume covers topics in mathematical techniques needed in advanced upper-level courses in theoretical physics that include General relativity, electromagnetism, fluid dynamics, quantum information theory and quantum field theory, solid mechanics, crystallography, continuum mechanics, plasma physics, and thermodynamics. The topics are divided into four chapters: The first chapter introduces manifolds, and the second chapter focuses on vector calculus on Manifolds with several application examples from the special theory of relativity. The third chapter discusses tensor calculus on manifolds, followed by the application of tensor calculus, specifically to relativistic electrodynamics in the four-dimensional Minkowski space-time manifold in chapter four. These topics are built upon and related vector calculus (in three dimensions) covered in the first Volume.

Key Features:

• Unlike other standard books on Mathematical methods, all the topics in Volume II are intended to provide the mathematical techniques needed in advanced physics or engineering courses that heavily depend on a solid background in tensor calculus and its applications.
• Provides several worked examples, in many cases, supported with modern 3D graphics.
• Includes clear, brief, concise, and simplified discussions to make it easy to understand by readers with English as a second language.
• The author will provide a separate solutions manual for all homework problems listed in each chapter.