A Course in Mathematics for Students of Physics: Volume 1
(Course in Mathematics for Students of Physics)
by Paul Bamberg (Author), Shlomo Sternberg
Product Description
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.
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Product Details
Paperback: 423 pages
Publisher: Cambridge University Press
(August 30, 1991)
Language: English
ISBN-10: 0521406498
ISBN-13: 978-0521406499
Product Dimensions: 9.1 x 7.6 x 1 inches
(Course in Mathematics for Students of Physics)
by Paul Bamberg (Author), Shlomo Sternberg
Product Description
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.
Product Details
Paperback: 423 pages
Publisher: Cambridge University Press
(August 30, 1991)
Language: English
ISBN-10: 0521406498
ISBN-13: 978-0521406499
Product Dimensions: 9.1 x 7.6 x 1 inches
Shipping Weight: 1.6 pounds
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A Course in Mathematics for Students of Physics: Volume 2
(Course in Mathematics for Students of Physics)
by Paul Bamberg (Author), Shlomo Sternberg
Product Description
This textbook, available in two volumes, has been developed from a course taught at Harvard over the last decade. The course covers principally the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The authors adopt the 'spiral method' of teaching, covering the same topic several times at increasing levels of sophistication and range of application. Thus the reader develops a deep, intuitive understanding of the subject as a whole, and an appreciation of the natural progression of ideas. Topics covered include many items previously dealt with at a much more advanced level, such as algebraic topology (introduced via the analysis of electrical networks), exterior calculus, Lie derivatives, and star operators (which are applied to Maxwell's equations and optics). This then is a text which breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Any student, interpreted in the widest sense, with an interest in physics and mathematics, will gain from its study.
Product Details
Paperback: 461 pages
Publisher: Cambridge University Press
(August 30, 1991)
Language: English
ISBN-10: 0521406501
ISBN-13: 978-0521406505
Product Dimensions: 9.1 x 7.6 x 1 inches
Shipping Weight: 1.9 pounds
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