ISBN 9788184890075,Applied Mathematics

Applied Mathematics


Springer India

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Springer India

Publication Year 2008

ISBN 9788184890075

ISBN-10 8184890079

Paper Back

Number of Pages 380 Pages
Language (English)


About the Book :- Applied Mathematics is a textbook for a two-semester graduate course in Mathematical Methods in Physics. Most universities give this course, which is often taught jointly with the Engineering or Mathematics Departments. General topics include: group theory, linear equations, matrices, series, functions of complex variables, conformal mapping, special functions, and partial differential equations. Each chapter has numerous homework problems. The section on transforms includes those on Fourier and Laplace, as well as the modern topic of wavelets. The chapters on partial differential equations include: Laplace's, Poisson's, Helmholtz, diffusion, and wave equations. Related topics such as transforms and orthogonal functions are also discussed in depth. The new topic of wavelet transforms is included. Contents :- 1. Determinants. 2. Matrices. 3. Group theory. 4. Complex Variables. 5. Series. 6. Conformal Mapping. 7. Markov Averaging 8. Fourier Transforms. 9. Equations of Physics. 10. One Dimension. 11. Two Dimensions. 12. Three Dimensions. 13. Odds and Ends. About the Author :- Geralad D. Mahan was born and raised in Portland, Oregon. His degrees in physics include a B.A. from Harvard in 1959 and a Ph.D. from the University of California, Berkeley, in 1964. He worked full-time at the General Electric Research and Development Center from 1964-1967, and continued part time and as a consultant until 1995. He had faculty appointments in physics at the University of Oregon (1967-1973), Indiana University (1973-1984), and the University of Tennessee (1984-2001). The latter appointment was held jointly with Oak Ridge National Laboratory. In 2001, he joined the faculty of Pennsylvania State University in University Park. He is a Fellow of the American Physical Society, and a member of the Materials Research Society, and a member of the U.S. National Academy of Sciences.

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