The book by Lapidus and Pinder is a very comprehensive, even exhaustive, survey of the subject. The dust jacket accurately labels the book as a reference/text. In the first three chapters a brief introduction is given to the terminology of partial differential equations followed by a very good description of the basic concepts of finite difference and finite element techniques. The final three chapters deal individually with parabolic, elliptic, and hyperbolic equations. The book is unique in that it covers equally finite difference and finite element methods. Smaller coverage is given to collocation and boundary element methods.