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

A Course in Mathematics for Students of Physics

Volume 1

Paperback Published: 11th November 1991
ISBN: 9780521406499
Number Of Pages: 424

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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.

'... a very well readable and highly recommendable addition to the existing courses in mathematics for students of physics.' Zentralblatt fur Mathematik und Ihre Grenzgebiete '... there is to my knowledge no comparable book, and it is hard to imagine a more inspiring one.' Times Higher Education Supplement

The theory of electric networks
The method of orthogonal projection
Higher-dimensional complexes
Complexes situated in Rn
Electrostatics in R3
Currents, flows and magnetostatics
The star operator
Maxwell's equations
Complex analysis
Asymptotic analysis
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521406499
ISBN-10: 0521406498
Series: Course in Mathematics for Students of Physics : Book 1
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 424
Published: 11th November 1991
Country of Publication: GB
Dimensions (cm): 24.64 x 17.5  x 1.98
Weight (kg): 0.74