Includes bibliographical references and index.

Ordinary differential equations of the first order -- Linear differential equations -- Complex numbers and linear algebra -- Simultaneous linear differential equations -- Numerical methods -- The descriptive theory of ordinary differential equations -- Mechanical systems and electric circuits -- Fourier series -- Fourier integrals and Fourier transforms -- The Laplace transformation -- Partial differential equations -- Bessel functions and Legendre polynomials -- Vector spaces and linear transformations -- Applications and further properties of matrices -- Vector analysis -- The calculus of variations -- Analytic functions of a complex variable -- Infinite series in the complex plane -- The theory of residues -- Conformal mapping.

This text aims to provide students in engineering with a sound presentation of post-calculus mathematics. It features numerous examples, many involving engineering applications, and contains all mathematical techniques for engineering degrees. The book also contains over 5000 exercises, which range from routine practice problems to more difficult applications. In addition, theoretical discussions illuminate principles, indicate generalizations and establish limits within which a given technique may or may not be safely used.