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Boundary and Eigenvalue Problems in Mathematical Physics

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Boundary and Eigenvalue Problems in Mathematical Physics Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

Well-known text uses a few basic concepts to solve such problems as the vibrating string, vibrating membrane, and heat conduction. Problems and solutions. 31 illustrations.

Synopsis:

This well-known text uses a few basic concepts--Hamilton's principle, the theory of the first variation and Bernoulli's separation method--to solve such problems as the vibrating string, vibrating membrane and heat conduction. Problems and solutions. 31 illus.

Synopsis:

This well-known advanced undergraduate- and graduate-level text uses a few basic concepts to solve and develop complete answers to linear homogeneous partial differential equations such as the problems of the vibrating string, the vibrating membrane, and heat conduction. With problems and solutions. 31 illustrations.

Product Details

ISBN:
9780486661322
Author:
Sagan, Hans
Publisher:
Dover Publications
Author:
Physics
Location:
New York :
Subject:
Science
Subject:
Physics
Subject:
Advanced
Subject:
Mathematical Physics
Subject:
Boundary value problems
Subject:
Eigenvalues.
Subject:
Physics-General
Copyright:
Edition Description:
Trade Paper
Series:
Dover Books on Physics
Series Volume:
no. 912
Publication Date:
19891031
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
399
Dimensions:
8.25 x 5.63 in 0.95 lb

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Related Subjects


Science and Mathematics » Chemistry » General
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Boundary and Eigenvalue Problems in Mathematical Physics Used Trade Paper
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$5.95 In Stock
Product details 399 pages Dover Publications - English 9780486661322 Reviews:
"Synopsis" by ,
Well-known text uses a few basic concepts to solve such problems as the vibrating string, vibrating membrane, and heat conduction. Problems and solutions. 31 illustrations.
"Synopsis" by , This well-known text uses a few basic concepts--Hamilton's principle, the theory of the first variation and Bernoulli's separation method--to solve such problems as the vibrating string, vibrating membrane and heat conduction. Problems and solutions. 31 illus.

"Synopsis" by ,
This well-known advanced undergraduate- and graduate-level text uses a few basic concepts to solve and develop complete answers to linear homogeneous partial differential equations such as the problems of the vibrating string, the vibrating membrane, and heat conduction. With problems and solutions. 31 illustrations.
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