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...
After the basic theories of differential and integral calculus are explained, they are applied to interesting problems in optics, electronics (networks), electrostatics, wave dynamics and finally, to classical thermodynamics.
"A Course in Mathematics by Bamberg and Sternberg is in a class by itself....The authors have drawn on their wide teaching experience to produce a book whose tone is authoritative, whose vision is fresh, and whose whole feel is original....there is to my knowledge no comparable book, and it is hard to imagine a more inspiring one." Times Literary Supplement
"You can find about a dozen books on exterior calculus,...
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