Boundary Value Problems and Fourier Expansions

$19.95

Publication Date: 21st December 2012

Based on modern Sobolev methods, this text for advanced undergraduates and graduate students is highly physical in its orientation. It integrates numerical methods and symbolic manipulation into an elegant viewpoint that is consonant with implementation by digital computer. The first five sections form an informal introduction that develops students' physical and mathematical intuition. The following section introduces Hilbert space in its natural environment, and the next six sections pose and solve the standard problems. The final seven sections feature concise introductions to sel... Read More
Format: eBook
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Based on modern Sobolev methods, this text for advanced undergraduates and graduate students is highly physical in its orientation. It integrates numerical methods and symbolic manipulation into an elegant viewpoint that is consonant with implementation by digital computer. The first five sections form an informal introduction that develops students' physical and mathematical intuition. The following section introduces Hilbert space in its natural environment, and the next six sections pose and solve the standard problems. The final seven sections feature concise introductions to sel... Read More
Description
Based on modern Sobolev methods, this text for advanced undergraduates and graduate students is highly physical in its orientation. It integrates numerical methods and symbolic manipulation into an elegant viewpoint that is consonant with implementation by digital computer. The first five sections form an informal introduction that develops students' physical and mathematical intuition. The following section introduces Hilbert space in its natural environment, and the next six sections pose and solve the standard problems. The final seven sections feature concise introductions to selected topics, including Sturm-Liouville problems, Fourier integrals, Galerkin's method, and Sobolev methods. 1994 edition. 64 figures. Exercises.

Revised republication (2004) of Boundary Value Problems and Orthogonal Expansions: Physical Problems from a Sobolev Viewpoint, originally published by IEEE Press, Piscataway, New Jersey, 1994.
Details
  • Price: $19.95
  • Pages: 384
  • Publisher: Dover Publications
  • Imprint: Dover Publications
  • Series: Dover Books on Mathematics
  • Publication Date: 21st December 2012
  • Trim Size: 5.37 x 8.5 in
  • ISBN: 9780486153179
  • Format: eBook
  • BISACs:
    MATHEMATICS / Applied
Author Bio
Charles MacCluer is Professor Emeritus of Industrial Mathematics at Michigan State University.
Table of Contents
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
Based on modern Sobolev methods, this text for advanced undergraduates and graduate students is highly physical in its orientation. It integrates numerical methods and symbolic manipulation into an elegant viewpoint that is consonant with implementation by digital computer. The first five sections form an informal introduction that develops students' physical and mathematical intuition. The following section introduces Hilbert space in its natural environment, and the next six sections pose and solve the standard problems. The final seven sections feature concise introductions to selected topics, including Sturm-Liouville problems, Fourier integrals, Galerkin's method, and Sobolev methods. 1994 edition. 64 figures. Exercises.

Revised republication (2004) of Boundary Value Problems and Orthogonal Expansions: Physical Problems from a Sobolev Viewpoint, originally published by IEEE Press, Piscataway, New Jersey, 1994.
  • Price: $19.95
  • Pages: 384
  • Publisher: Dover Publications
  • Imprint: Dover Publications
  • Series: Dover Books on Mathematics
  • Publication Date: 21st December 2012
  • Trim Size: 5.37 x 8.5 in
  • ISBN: 9780486153179
  • Format: eBook
  • BISACs:
    MATHEMATICS / Applied
Charles MacCluer is Professor Emeritus of Industrial Mathematics at Michigan State University.
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