Boundary and Eigenvalue Problems in Mathematical Physics
Language: English
Published by Dover Publications Inc., 1989
- Softcover
- Used
Seller: World of Books Inc, Montgomery, IL, U.S.A.World of Books Inc
AbeBooks seller since March 23, 2026
Condition: Used - Good
£ 8.91
Quantity: 1 available
Add to basketItem description from seller
This well-known text uses a limited number of basic concepts and techniques -- Hamilton's principle, the theory of the first variation and Bernoulli's separation method -- to develop complete solutions to linear boundary value problems associated with second order partial differential equations such as the problems of the vibrating string, the vibrating membrane, and heat conduction. It is directed to advanced undergraduate and beginning graduate students in mathematics, applied mathematics, physics, and engineering who have completed a course in advanced calculus.In the first three chapters, Professor Sagan introduces Hamilton's principle and the theory of the first variation; he then discusses the representation of the vibrating string, the vibrating membrane and heat conduction (without convection) by partial differential equations. Bernoulli's separation method and infinite series solutions of homogeneous boundary value problems are introduced as a means for solving these problems.The next three chapters take up Fourier series, self-adjoint boundary value problems, Legendre polynomials, and Bessel functions. The concluding three chapters address the characterization of eigenvalues by a variational principle; spherical harmonics, and the solution of the Schroedinger equation for the hydrogen atom; and the nonhomogeneous boundary value problem. Professor Sagan concludes most sections of this excellent text with selected problems (solutions provided for even-numbered problems) to reinforce the reader's grasp of the theories and techniques presented.…
Seller Inventory # CIN0486661326G
- Title
- Boundary and Eigenvalue Problems in Mathematical Physics
- Author
- Hans Sagan
- Publisher
- Dover Publications Inc.
- Publication year
- 1989
- Condition
- Good
- Binding
- Paperback
- Language
- English
- ISBN 10
- 0486661326
- ISBN 13
- 9780486661322
"Synopsis" may belong to another edition of this title.
World of Books Inc
Montgomery, IL, U.S.A.
AbeBooks seller since March 23, 2026
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