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A Guided Tour of Mathematical Methods , 2nd Ed
519 pages - hardback
Cambridge University Press - (isbn 0-521-83492-9)
Sep. 2004
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A Guided Tour of Mathematical Methods , 2nd Ed 519 pages - hardback Cambridge University Press - (isbn 0-521-83492-9) Sep. 2004 |
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| Price: |
52,20 EUR
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| Author(s): |
Snieder, Roel (Colorado School of Mines)
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| Description: |
Mathematical
methods are essential tools for all physical scientists. This second
edition provides a comprehensive tour of the mathematical knowledge and
techniques that are needed by students in this area. In contrast to
more traditional textbooks, all the material is presented in the form
of problems. Within these problems the basic mathematical theory and
its physical applications are well integrated. The mathematical
insights that the student acquires are therefore driven by their
physical insight. Topics that are covered include vector calculus,
linear algebra, Fourier analysis, scale analysis, complex integration,
Green's functions, normal modes, tensor calculus, and perturbation
theory. The second edition contains new chapters on dimensional
analysis, variational calculus, and the asymptotic evaluation of
integrals. This book can be used by undergraduates, and lower-level
graduate students in the physical sciences. It can serve as a
stand-alone text, or as a source of problems and examples to complement
other textbooks.
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| Contents List: |
1.
Introduction; 2. Dimensional analysis; 3. Power series; 4. Spherical
and cylindrical coordinates; 5. The gradient; 6. The divergence of a
vector field; 7. The curl of a vector field; 8. The theorem of Gauss;
9. The theorem of Stokes; 10. The Laplacian; 11. Conservation laws; 12.
Scale analysis; 13. Linear algebra; 14. The Dirac delta function; 15.
Fourier analysis; 16. Analytic functions; 17. Complex integration; 18.
Green's functions: principles; 19. Green's functions: examples; 20.
Normal modes; 21. Potential theory; 22. Cartesian tensors; 23.
Perturbation theory; 24. Asymptotic evaluation of integrals; 25.
Variational calculus; 26. Epilogue, on power and knowledge; References.
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| Illustrations etc.: | 126 diagrams, 6 tables, 6halftones | |||||||
| Weight: | 1217 g | |||||||
| Dimensions: | 255 x 180 | |||||||
| Publisher: | Cambridge University Press (Virtual Publishing) | |||||||
| Cambridge University Press (Virtual Publishing) | ||||||||