John W Dettman: 3 books

Analytic function theory is a traditional subject going back to Cauchy and Riemann in the 19th century. Once the exclusive province of advanced mathematics students, its applications have proven vital to today's physicists and engineers. In this highly regarded work, Professor John W. Dettman offers...

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

Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more. Includes 48 black-and-white illustrations. Exercises with solutions. Index.