A Course In Mathematics For Students Of Physics: Volume 1
by Shlomo Sternberg /
1991 / English / PDF
11.6 MB Download
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.
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.
