A Course in Mathematics for Students of Physics: Volume 1 - Tapa dura

Bamberg, Paul; Sternberg, Shlomo

 
9780521250177: A Course in Mathematics for Students of Physics: Volume 1

Sinopsis

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.

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Críticas

'... a very well readable and highly recommendable addition to the existing courses in mathematics for students of physics.' Zentralblatt für Mathematik und Ihre Grenzgebiete

'... there is to my knowledge no comparable book, and it is hard to imagine a more inspiring one.' The Times Higher Education Supplement

Reseña del editor

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.

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Otras ediciones populares con el mismo título

9780521406499: A Course in Mathematics for Students of Physics 1: 001

Edición Destacada

ISBN 10:  0521406498 ISBN 13:  9780521406499
Editorial: Cambridge University Press, 1991
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