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Title: Boundary and Eigenvalue Problems in Mathematical Physics by Hans Sagan ISBN: 0-486-66132-6 Publisher: Dover Pubns Pub. Date: 01 October, 1989 Format: Paperback Volumes: 1 List Price(USD): $17.95 |
Average Customer Rating: 5 (4 reviews)
Rating: 5
Summary: You could do a whole lot worse.
Comment: This is a beautifully written book! This is a great place to start and perhaps end one's study of boundary and eigenvalue problems. The first chapter even provides one of the best treatments of first variation I have seen in print. The vibrating string, heat conduction, PDEs, Fourier series,special functions, self-adjoint operators, it is all there and written in an easy to understand format. Some may find the notation a little dated but that is little price to pay for such a treasure of knowledge. Read and enjoy.
Rating: 5
Summary: A treatise for starting a career
Comment: I bought Sagan's book while a senior, and used it for a text while a second year professional and a third year graduate student in mathematics. The course led to a series of courses in theoretical mechanics, and untimately, a doctorate in control theory. The course taught from this book, and the following course in mechanics provided a strong foundation for a career. I continue to have my students read Sagan's book.
Rating: 5
Summary: Physical problems treated with mathematical rigor.
Comment: This text includes material usually covered in mathematical physics courses, but its approach is somewhat different, and better, than most of the classics. The point is that the author felt not content with just explaining how to employ the most common mathematical methods to solve physical problems. He, on one hand, presents full motivation from the physical point of view, while on the other hand keeping high-level mathematical rigor. Believe me: this is not usual in mathematical physics books. By doing so, the author has produced a text valuable for both physicists and mathematicians.
Its contents are: Hamilton's principle and the theory of the first variation, representation of some physical phenomena by partial differential equations, theorems related to partial differential equations and their solutions, fourier series, self-adjoint boundary value problems, Legendre polynomials and Bessel functions, characterization of eigenvalues by a variational principle, spherical harmonics, the nonhomogeneous boundary value problem.
Includes excercises for most sections and references for each chapter. Suitable for third year undergraduates and on.
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Title: Worked Problems in Applied Mathematics by et al., N. N. Lebedev ISBN: 0486637301 Publisher: Dover Pubns Pub. Date: 01 February, 1979 List Price(USD): $11.95 |
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Title: Special Functions by N. N. Lebedev, Richard Silverman ISBN: 0486606244 Publisher: Dover Pubns Pub. Date: 01 June, 1972 List Price(USD): $14.95 |
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Title: Calculus of Variations by S. V. Fomin, I. M. Gelfand ISBN: 0486414485 Publisher: Dover Pubns Pub. Date: 16 October, 2000 List Price(USD): $9.95 |
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Title: Partial Differential Equations for Scientists and Engineers by Stanley J. Farlow ISBN: 048667620X Publisher: Dover Pubns Pub. Date: 01 September, 1993 List Price(USD): $14.95 |
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Title: A First Course in Partial Differential Equations with Complex Variables and Tran by H. F. Weinberger ISBN: 048668640X Publisher: Dover Pubns Pub. Date: 11 September, 1995 List Price(USD): $19.95 |
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