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Fourier Analysis and Boundary Value Problems.
Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions. Boundary value problems, including the heat and wave equations, are integrated throughout the bo...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Burlington :
Elsevier,
1996.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Fourier Analysis and Boundary Value Problems; Copyright Page; Table of Contents; Preface; CHAPTER 1. A HEATED DISCUSSION; CHAPTER 2. FOURIER SERIES; CHAPTER 3. RETURN TO THE HEATED BAR; CHAPTER 4. GENERALIZED FOURIER SERIES; CHAPTER 5. THE WAVE EQUATION; CHAPTER 6. ORTHOGONAL SYSTEMS; CHAPTER 7. FOURIER TRANSFORMS; CHAPTER 8. LAPLACE TRANSFORMS; CHAPTER 9. BOUNDARY VALUE PROBLEMS IN HIGHER DIMENSIONS; CHAPTER 10. BOUNDARY VALUE PROBLEMS WITH CIRCULAR SYMMETRY; CHAPTER 11. BOUNDARY VALUE PROBLEMS WITH SPHERICAL SYMMETRY; CHAPTER 12. DISTRIBUTIONS AND GREEN'S FUNCTIONS.
- APPENDIX A. UNIFORM CONVERGENCEAPPENDIX B. IMPROPER INTEGRALS; APPENDIX C. TABLES OF FOURIER AND LAPLACE TRANSFORMS; APPENDIX D. HISTORICAL BIBLIOGRAPHY; Index.