Authoritative, well-written basic treatment of extremely useful mathematical tool. Topics include Volterra Equations, Fredholm Equations, Symmetric Kernels and Orthogonal Systems of Functions, Types of Singular or Nonlinear Integral Equations, more. Advanced undergraduate to graduate level. Exercises. Bibliography.
Ordinary Differential Equations by Jack K. Hale This rigorous treatment prepares readers for the study of differential equations and shows them how to research current literature. It emphasizes nonlinear problems and specific analytical methods. 1969 edition.
Plane Waves and Spherical Means Applied to Partial Differential Equations by Fritz John This collection of results on partial differential equations employs certain elementary identities for plane and spherical integrals of an arbitrary function, showing how a variety of results follow from those identities. 1955 edition.
Numerical Solution of Partial Differential Equations by the Finite Element Method by Claes Johnson This accessible introduction offers the keys to an important technique in computational mathematics. It outlines clear connections with applications and considers numerous examples from a variety of specialties. 1987 edition.
Differential Forms with Applications to the Physical Sciences by Harley Flanders A graduate-level text utilizing exterior differential forms in the analysis of a variety of mathematical problems in the physical and engineering sciences. Includes 45 illustrations. Index.
Introduction to Linear Algebra and Differential Equations by John W. Dettman 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.
