Boundary value problems of mathematical physics

Ivar Stakgold9780898714562, 0898714567

For more than 30 years, this two-volume set has helped prepare graduate students to use partial differential equations and integral equations to handle significant problems arising in applied mathematics, engineering, and the physical sciences. Originally published in 1967, this graduate-level introduction is devoted to the mathematics needed for the modern approach to boundary value problems using Green’s functions and using eigenvalue expansions.
Now a part of SIAM’s Classics series, these volumes contain a large number of concrete, interesting examples of boundary value problems for partial differential equations that cover a variety of applications that are still relevant today. For example, there is substantial treatment of the Helmholtz equation and scattering theory–subjects that play a central role in contemporary inverse problems in acoustics and electromagnetic theory.

---

Table of contents :
ISBN 0898714567 ……Page 1
Boundary Value Problems of Mathematical Physics Volume I……Page 5
Table of Contents……Page 7
Preface to the Classics Edition……Page 9
Preface……Page 11
Volume I:Chapter 1 THE GREEN’S FUNCTION……Page 13
Volume I:Chapter 2 INTRODUCTION TO LINEAR SPACES……Page 104
Volume I:Chapter 3 LINEAR INTEGRAL EQUATIONS……Page 203
Volume I:Chapter 4 SPECTRAL THEORY OF SECOND-ORDER DIFFERENTIAL OPERATORS……Page 271
Volume I:APPENDIX A……Page 335
Volume I:APPENDIX B……Page 341
Volume I:Index……Page 345