Irving J., Mullineux N. Mathematics in physics and engineering

New York ; London: Academic Press, 1959. — 888 p.This book describes the analytical and numerical (desk-machine) methods that arise most frequently in present day pure and applied science. The subject matter of the book has formed the basis of lecture courses given to students of mathematics, physics, and engineering both at undergraduate and postgraduate levels. It is not the intention of the authors to derive the equations of mathematical physics, but to give methods for their solution. Emphasis is placed upon the application of the mathematical theory, and worked examples illustrating and extending the theory and its ramifications are drawn from many different fields of applied science ; for example, elasticity, supersonic flow, electromagnetism, wave mechanics, heat flow. To make the book, as far as possible, self-contained, an appendix of pure mathematics is included.Introduction to Partial Differential EquationsOrdinary Differential Equations:
Frobenius' and Other Methods of SolutionBessel and Legendre FunctionsThe Laplace and Other TransformsMatricesAnalytical Methods in Classical and Wave MechanicsCalculus of VariationsComplex Variable Theory and Conformai
TransformationsThe Calculus of ResiduesTransform TheoryNumerical MethodsIntegral EquationsAppendix