First half of book covers complex number plane; functions and limits; Riemann surfaces, the definite integral; power series; meromorphic functions and much more. The second half deals with potential theory; ordinary differential equations; Fourier transforms; Laplace transforms and asymptotic expansion. Exercises included.

Algebraically based approach to vectors, mapping, diffraction, other topics in applied math. Also generalized functions, analytic function theory, more. Includes sections on linear algebra, Hilbert spaces, calculus of variations, boundary value problems, integral equations, analytic function theory and integral transform methods. Exercises. Reprint of 1969 ed.

Excellent introductory text for students with one year of calculus. Topics include complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order nonlinear equations, linear differential equations, Laplace transforms, Bessel functions and boundary-value problems. 48 black-and-white illustrations. Exercises with solutions. Index.