| Description |
1 online resource (565 pages) |
| Contents |
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 |
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APPENDIX A. UNIFORM CONVERGENCEAPPENDIX B. IMPROPER INTEGRALS; APPENDIX C. TABLES OF FOURIER AND LAPLACE TRANSFORMS; APPENDIX D. HISTORICAL BIBLIOGRAPHY; Index |
| Summary |
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 book. Written from a historical perspective with extensive biographical coverage of pioneers in the field, the book emphasizes the important role played by partial differential equations in engineering and physics. In addition, the author demonstrates how efforts to deal with these problems have lead |
| Notes |
English |
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Print version record |
| Subject |
Fourier analysis -- Numerical solutions
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Boundary value problems.
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Boundary value problems
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| Form |
Electronic book
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| ISBN |
9780080531939 |
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0080531938 |
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9780122896408 |
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0122896408 |
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