The author has skillfully presented the mathematics in a manner readily understandable by engineers. The book already is being used to teach graduate mathematics to engineers in several universities. Engineers find it a convenient reference book, for the material is self-explanatory.
The book assumes that the reader has a good background in the calculus. An extensive appendix is included, covering material from the borderline between calculus and advanced calculus, and the theory of equations. Several hundred problems have been completely worked out, and approximately a thousand problems, some containing hints and answers, have been graded in difficulty and posed for solutions.
The topics treated are as follows: Ordinary differential equations of the first order, linear differential equations with constant coefficients, simultaneous differential equations, mechanical and electrical circuits, Fourier series and integrals, the Laplace transformation, partial differential equations, Bessel functions, analytic functions of a complex variable, integration in the complex plane, infinite series in the complex plane, the theory of residues, conformal mapping, analytic functions and fluid mechanics, vector analysis, and numerical analysis.
The author draws many of his examples from such fields as thermodynamics, mechanical vibrations, strength of materials, fluid dynamics, electronic communication, power transmission, and aerodynamics. The great majority, however, are basic exercises of the manipulation under consideration.