TY - BOOK AU - Snieder,Roel AU - Van Wijk,Kasper TI - Guided tour of mathematical methods for the physical sciences SN - 9781107084964 (alk. paper) U1 - 515 23 PY - 2015/// CY - New York : PB - Cambridge University Press, KW - Mathematical analysis KW - Physical sciences KW - Mathematics KW - Mathematical physics N1 - 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 N2 - This completely revised edition provides a comprehensive tour of the mathematical knowledge and techniques needed by students across the physical sciences ER -