This graduate-level introduction is devoted to the mathematics needed for the modern approach to boundary value problems.

VOLUME I. Preface to the classics edition; Preface; 1. The Green's function; 2. Introduction to linear spaces; 3. Linear integral equations; 4. Spectral theory of second-order differential operators; Appendix A. Static and dynamic problems for dtrings and membranes; Static and fynamic problems for beams and plates; The equation of heat conduction; Appendix B. Bessel functions; Wronskian Relationships; The modified Bessel function; The behavior of cylinder functions at zero and at infinity; Index. VOLUME II. Preface to the classics edition; Preface; 5. Distributions and generalized solutions; 6. Potential theory; 7. Equations of evolution; 8. Variational and related methods; Appendix A. Spherical harmonics; Appendix B. Asymptotic expansions; Suggested additional readings; Index.