This textbook provides a solid foundation to a number of important topics in mathematics of interest to science and engineering students. Included are tensor algebra, ordinary differential equations, contour integration, Laplace and Fourier transforms, partial differential equations and the calculus of variations. The authors' approach is simple and direct with an emphasis on the analytical understanding of the material. The text is virtually selfcontained, assuming only that the student has a solid understanding of ancillary mathematics. Each chapter contains a large number of worked...

Partial differential equations form an essential part of the core mathematics syllabus for undergraduate scientists and engineers. The origins and applications of such equations occur in a variety of different fields, ranging from fluid dynamics, electromagnetism, heat conduction and diffusion, to quantum mechanics, wave propagation and general relativity.This volume introduces the important methods used in the solution of partial differential equations. Written primarily for second-year and final-year students taking physics and engineering courses, it will also be of value to mathematicians...