Buch, Englisch, 442 Seiten, Format (B × H): 182 mm x 255 mm, Gewicht: 1100 g
For the Physical Sciences
Buch, Englisch, 442 Seiten, Format (B × H): 182 mm x 255 mm, Gewicht: 1100 g
ISBN: 978-0-521-78241-8
Verlag: Cambridge University Press
Mathematical methods are essential tools for all physical scientists. This novel textbook provides a comprehensive guided tour of the mathematical knowledge and techniques 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 very well integrated. In this way the mathematical insights that the students acquire are driven by their physical insight. Topics that are covered include vector calculus (div, grad, curl, Laplacian), linear algebra, Fourier analysis, scale analysis, Green's functions, normal modes, tensor calculus and perturbation theory. This book can be used by undergraduates or by 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. This guided tour of mathematical techniques is instructive, applied, and even fun.
Autoren/Hrsg.
Weitere Infos & Material
1. Introduction; 2. Power series; 3. Spherical and cylindrical coordinates; 4. The gradient; 5. The divergence of a vector field; 6. The curl of a vector field; 7. The theorem of Gauss; 8. The theorem of Stokes; 9. The Laplacian; 10. Conservation laws; 11. Scale analysis; 12. Linear algebra; 13. The 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 theory; 21. Cartesian tensors; 22. Perturbation theory; 23. Epilogue, on power and knowledge; References.
