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Boundary Value Problems and Fourier Expansions by Charles R. MacCluer ISBN: 0486439011 Dover Publications Price: $19.95 click here to see this book Based on modern Sobolev methods, this text not only includes an informal introduction that develops students' physical and mathematical intuition, but also introduces Hilbert space in its natural environment, and then poses and solve standard problems. The final part covers Sturm-Liouville problems, Fourier integrals, Galerkin's method, and Sobolev methods. 1994 edition. 64 figures. Exercises. Revised republication of Boundary Value Problems and Orthogonal Expansions: Physical Problems From a Sobolev Viewpoint, originally published by IEEE Press, Piscataway, New Jersey, 1994. Table of Contents for Boundary Value Problems and Fourier Expansions 1. Preliminaries 2. Steady Problems 3. The Heat Equation 4. The Wave Equation 5. Separation of Variables 6. Hilbert Space 7. Fourier Series 8. Rectangular Problems 9. Bessel Functions 10. Cylindrical Problems 11. Orthogonal Polynomials 12. Spherical Problems 13. Sturm-Liouville Problems 14. Choosing Inner Products 15. Symbolic Manipulation 16. Operational Calculus 17. Fourier Integrals 18. Galerkin’s Method 19. Sobolev Methods Appendixes References Index

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