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Boundary and Eigenvalue Problems in Mathematical Physicsby Hans Sagan
Synopses & ReviewsPublisher Comments:This wellknown 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, selfadjoint 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 evennumbered problems) to reinforce the reader's grasp of the theories and techniques presented. Synopsis:Wellknown 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 wellknown text uses a few basic conceptsHamilton's principle, the theory of the first variation and Bernoulli's separation methodto solve such problems as the vibrating string, vibrating membrane and heat conduction. Problems and solutions. 31 illus.
Synopsis:This wellknown advanced undergraduate and graduatelevel 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. What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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