Boundary value problems and orthogonal expansions physical problems from a Sobolev viewpoint
For a first course in the topic using the modern, norm-based Sobolev techniques not currently available in published format. Major concepts are presented with minimal possible detail and details are pushed into the exercises, omitted, or postponed until later sections.
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
New York, NY
IEEE Press
1994
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| 003 | MY-KLNDU | ||
| 005 | 20241218051031.0 | ||
| 008 | 121102 1994 nyua bi 000 0 eng d | ||
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| 039 | 9 | |a 201512081139 |b azraai |c 201304241529 |d faizin |c 201304161619 |d faizin |c 201211020907 |d azraai |y 200910081150 |z VLOAD | |
| 040 | |a UPNM | ||
| 090 | |a QA 379 |b .M28 1994 | ||
| 100 | 1 | |a MacCluer, C. R. | |
| 245 | 1 | 0 | |a Boundary value problems and orthogonal expansions |b physical problems from a Sobolev viewpoint |c C.R. MacCluer |
| 260 | |a New York, NY |b IEEE Press |c 1994 | ||
| 300 | |a xix, 340 p. |b ill. |c 23 cm. | ||
| 504 | |a Includes bibliographical references and index | ||
| 505 | 0 | |a pt. I. Boundary Value Problems -- An Intuitive Introduction. -- 1. Diffusion. -- 2. Steady-State Dirichlet Problems. -- 3. Flux. -- 4. Steady-State Neumann Problems. -- 5. Transient Problems -- An Introduction to Separation of Variables -- pt. II. Function Spaces. -- 6. Norms. -- 7. Hilbert Space. -- 8. Recasting BVPs into Operator Format. -- 9. Hermitian Operators. -- 10. Resolvents. 11. Separation of Variables -- pt. III. Expansions in Series of Orthogonal Functions. -- 12. Trigonometric Expansions. -- 13. Rectangular Problems. -- 14. Bessel Functions. -- 15. Cylindrical Problems. -- 16. Orthogonal Polynomials. -- 17. Spherical Problems -- pt. IV. An Introduction to Selected Other Topics. -- 18. Sturm-Liouville Problems. -- 19. Choosing Inner Products. -- 20. The Use of a Symbolic Manipulator. -- 21. The Mikusinski Operational Calculus. -- 22. Fourier Integrals. -- 23. The Galerkin Numerical Method. -- 24. Sobolev Methods -- Appendix A. Measure and Integration -- Appendix B. Quantum Mechanics. | |
| 520 | |a For a first course in the topic using the modern, norm-based Sobolev techniques not currently available in published format. Major concepts are presented with minimal possible detail and details are pushed into the exercises, omitted, or postponed until later sections. | ||
| 650 | 0 | |a Boundary value problems | |
| 650 | 0 | |a Orthogonal polynomials | |
| 999 | |a vtls000001911 |c 1921 |d 1921 | ||