A course in mathematics for students of physics by Paul Bamberg, Shlomo Sternberg

By Paul Bamberg, Shlomo Sternberg

This textbook, on hand in volumes, has been constructed from a direction taught at Harvard over the past decade. The direction covers mostly the idea and actual functions of linear algebra and of the calculus of a number of variables, really the outside calculus. The authors undertake the 'spiral strategy' of educating, masking an analogous subject a number of instances at expanding degrees of class and diversity of program. therefore the reader develops a deep, intuitive figuring out of the topic as a complete, and an appreciation of the typical development of principles. themes lined contain many goods formerly handled at a way more complicated point, akin to algebraic topology (introduced through the research of electric networks), external calculus, Lie derivatives, and famous person operators (which are utilized to Maxwell's equations and optics). This then is a textual content which breaks new flooring in featuring and utilising refined arithmetic in an straightforward surroundings. Any pupil, interpreted within the widest feel, with an curiosity in physics and arithmetic, will achieve from its learn.

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