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Guided tour of mathematical methods for the physical sciences / Roel Snieder and Kasper van Wijk.

By: Contributor(s): Material type: TextTextPublication details: New York : Cambridge University Press, 2015.Edition: 3rd edDescription: xxi, 560 pages : illustrations ; 26 cmISBN:
  • 9781107084964 (alk. paper)
Subject(s): DDC classification:
  • 515 23 Sn672
Contents:
1. Introduction -- 2. Dimensional analysis -- 3. Power series -- 4. Spherical and cylindrical coordinates -- 5. Gradient -- 6. Divergence of a vector field -- 7. Curl of a vector field -- 8. Theorem of Gauss -- 9. Theorem of Stokes -- 10. The Laplacian -- 11. Scale analysis -- 12. Linear algebra -- 13. Dirac delta function -- 14. Fourier analysis -- 15. Analytic functions -- 16. Complex integration -- 17. Green's functions: principles -- 18. Green's functions: examples -- 19. Normal modes -- 20. Potential field theory -- 21. Probability and statistics -- 22. Inverse problems -- 23. Perturbation theory -- 24. Asymptotic evaluation of integrals -- 25. Conservation laws -- 26. Cartesian tensors -- 27. Variational calculus -- 28. Epilogue, on power and knowledge.
Summary: This completely revised edition provides a comprehensive tour of the mathematical knowledge and techniques needed by students across the physical sciences.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515 Sn672 (Browse shelf(Opens below)) Available 137505
Total holds: 0

Includes bibliographical references and index.

1. Introduction --
2. Dimensional analysis --
3. Power series --
4. Spherical and cylindrical coordinates --
5. Gradient --
6. Divergence of a vector field --
7. Curl of a vector field --
8. Theorem of Gauss --
9. Theorem of Stokes --
10. The Laplacian --
11. Scale analysis --
12. Linear algebra --
13. Dirac delta function --
14. Fourier analysis --
15. Analytic functions --
16. Complex integration --
17. Green's functions: principles --
18. Green's functions: examples --
19. Normal modes --
20. Potential field theory --
21. Probability and statistics --
22. Inverse problems --
23. Perturbation theory --
24. Asymptotic evaluation of integrals --
25. Conservation laws --
26. Cartesian tensors --
27. Variational calculus --
28. Epilogue, on power and knowledge.

This completely revised edition provides a comprehensive tour of the mathematical knowledge and techniques needed by students across the physical sciences.

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