TY - BOOK AU - Myint-U,Tyn AU - Debnath,Lokenath TI - Linear partial differential equations for scientists and engineers SN - 9788184890792 U1 - 515.353 23 PY - 2007/// CY - Boston PB - Birkhauser KW - Partial differential equations N1 - Fifth Indian reprint 2014; Includes bibliographical references (p. [761]-770) and index; 1. Introduction-- 2. First-order, quasi-linear equations and method of characteristics-- 3. Mathematical Models-- 4. Classification of Second-Order Linear Equations-- 5. The Cauchy Problem and Wave Equations-- 6. Fourier Series and Integrals with Applications-- 7. Method of Separation of Variables-- 8. Eigenvalue Problems and Special Functions-- 9. Boundary-Value Problems and Applications-- 10. Higher-Dimensional Boundary-Value Problems-- 11. Green's Functions and Boundary-Value Problems-- 12. Integral Transform Methods with Applications-- 13. Nonlinear Partial Differential Equations with Applications-- 14. Numerical and Approximation Methods-- 15. Tables of Integral Transforms-- 16. Answers and Hints to Selected Exercises-- Appendix: Some Special Functions and Their Properties-- Bibliography-- Index N2 - This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. ER -