A Course in Mathematics for Students of Physics: Volume 1 by Paul BambergA Course in Mathematics for Students of Physics: Volume 1 by Paul Bamberg

A Course in Mathematics for Students of Physics: Volume 1

byPaul Bamberg, Shlomo Sternberg

Paperback | August 30, 1991

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This text breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Aimed at physics students, it covers the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The exterior differential calculus is now being recognized by mathematicians and physicists as the best method of formulating the geometrical laws of physics, and the frontiers of physics have already begun to reopen fundamental questions about the geometry of space and time. Covering the basics of differential and integral calculus, the authors then apply the theory to interesting problems in optics, electronics (networks), electrostatics, wave dynamics, and finally to classical thermodynamics. The authors adopt the "spiral method" of teaching (rather than rectilinear), covering the same topic several times at increasing levels of sophistication and range of application.
Title:A Course in Mathematics for Students of Physics: Volume 1Format:PaperbackDimensions:424 pages, 9.72 × 6.85 × 0.87 inPublished:August 30, 1991Publisher:Cambridge University Press

The following ISBNs are associated with this title:

ISBN - 10:0521406498

ISBN - 13:9780521406499


Table of Contents

1. Linear transformations of the plane; 2. Eigenvectors and eigenvalues; 3. Linear differential equations in the plane; 4. Scalar products; 5. Calculus in the plane; 6. Applications of differential calculus; 7. Differential forms and line integrals; 8. Double integrals; 9. Gaussian optics; 10. Vector spaces and linear transformations; 11. Determinants; Index.

Editorial Reviews

"I consider Sternberg's book a fine addition to the existing literature and strongly recommend it to anyone with an interest in learning how to use group-theoretical methods to understand concrete physical problems." Siam Review