Schaum's outline of theory and problems of partial differential equations

Introduction. Classification and Characteristics. Qualitative Behavior of Solutions to Elliptic Equations. Qualitative Behavior of Solutions to Evolution Equations. First-Order Equations. Eigenfunction Expansions and Integral Transforms: Theory. Eigenfunction Expansions and Integral Transforms: Applications. Green's Functions. Difference Methods for Parabolic Equations. Difference and Characteristic Methods for Parabolic Equations. Difference Methods for Hyperbolic Equations. Difference Methods for Elliptic Equations. Variational Formulation of Boundary Value Problems. The Finite Element Method: An Introduction. Answers to Supplementary Problems.