This text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies in mathematics. Classical topics presented in a modern context include coverage of integral equations and basic scattering theory. Includes examples of inverse problems arising from improperly posed applications as well as exercises, many with answers. 1988 edition. Unabridged, slightly corrected republication of the edition published by Random House, 1988.
Partial Differential Equations of Mathematical Physics and Integral Equations by Ronald B. Guenther, John W. Lee Superb treatment for math and physical science students discusses modern mathematical techniques for setting up and analyzing problems. Discusses partial differential equations of the 1st order, elementary modeling, potential theory, parabolic equations, more.
Applied Partial Differential Equations by Paul DuChateau, David Zachmann Book focuses mainly on boundary-value and initial-boundary-value problems on spatially bounded and on unbounded domains; integral transforms; uniqueness and continuous dependence on data, first-order equations, and more. Numerous exercises included.
Mathematics for the Physical Sciences by Laurent Schwartz Concise treatment of mathematical entities employs examples from the physical sciences. Topics include distribution theory, Fourier series, Laplace transforms, wave and heat conduction equations, and gamma and Bessel functions. 1966 edition.
Partial Differential Equations: Sources and Solutions by Arthur David Snider This newly updated text explores the solution of partial differential equations by separating variables, reviewing the tools for the technique, and examining the algorithmic nature of the process. 1999 edition.
An Introduction to Differential Equations and Their Applications by Stanley J. Farlow This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.
The Finite Element Method: Linear Static and Dynamic Finite Element Analysis by Thomas J. R. Hughes Text for students without in-depth mathematical training, this text includes a comprehensive presentation and analysis of algorithms of time-dependent phenomena plus beam, plate, and shell theories. Solution guide available upon request.
