Mathematical Methods for Physics: 45th anniversary edition

Mathematical Methods for Physics is a comprehensive advanced book that demonstrates how many physics problems resolve into similar inhomogeneous partial differential equations and the mathematical techniques for solving them. It has three parts: Part I establishes solving the homogenous Laplace and Helmholtz equations in the three main coordinate systems, Part II addresses inhomogeneous equations, and Part III presents complex variable techniques. Many examples with figures are provided across various subjects of physics, making it useful for advanced undergraduate and graduate students and as a reference for researchers.

Format: Paperback / softback
Length: 476 pages
Publication date: 30 May 2022
Publisher: Taylor & Francis Ltd

From classical mechanics and classical electrodynamics to modern quantum mechanics, numerous physical phenomena are formulated in terms of similar partial differential equations, while boundary conditions determine the specifics of the problem. This 45th anniversary edition of the advanced book classic Mathematical Methods for Physics demonstrates how many physics problems resolve into similar inhomogeneous partial differential equations and the mathematical techniques for solving them. The text has three parts: Part I establishes solving the homogenous Laplace and Helmholtz equations in the three main coordinate systems, rectilinear, cylindrical, and spherical, and develops the solution space for series solutions to the Sturm-Liouville equation, indicial relations, and the expansion of orthogonal functions, including spherical harmonics and Fourier series, Bessel, and Spherical Bessel functions. Many examples with figures are provided, including electrostatics, wave guides and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, and plane and spherical waves. In Part II, the inhomogeneous equations are addressed, where source terms are included for Poisson's equation, the wave equation, and the diffusion equation. Coverage includes many examples from averaging approaches for electrostatics and magnetostatics, from Green function solutions for time-independent and time-dependent problems, and from integral equation methods. In Part III, complex variable techniques are presented for solving integral equations involving Cauchy Residue theory, contour methods, analytic continuation, and transforming the contour; for addressing dispersion relations; for revisiting special functions in the complex plane; and for transforms in the complex plane, including Greens f.

Weight: 882g
Dimension: 177 x 252 x 34 (mm)
ISBN-13: 9780367479732
Edition number: 2 ed