A Course on Partial Differential Equations.
A Course on Partial Differential Equations
American Mathematical Society
Graduate Studies in Mathematics; Volume 97
This textbook is for an introductory course in partial differential equations for fourth-year undergraduate or first-year graduate mathematics students, says Craig. He focuses on the three most important aspects: theory: the questions of existence, uniqueness, and continuous dependence on given data or parameters; phenomenology: the study of properties of solutions of the partial differential equations examined; and applications in physical or geometric settings. His topics include wave equations, the heat equation, properties of the Fourier transform, and conservation laws and shocks. (Ringgold, Inc., Portland, OR)