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Differential Geometry For Physicists And Mathematicians: Moving Frames And Differential Forms: From Euclid Past Riemann (Abridged, Hardcover, Abridged edition)
Loot Price: R2,861
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Differential Geometry For Physicists And Mathematicians: Moving Frames And Differential Forms: From Euclid Past Riemann (Abridged, Hardcover, Abridged edition)
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This is a book that the author wishes had been available to him
when he was student. It reflects his interest in knowing (like
expert mathematicians) the most relevant mathematics for
theoretical physics, but in the style of physicists. This means
that one is not facing the study of a collection of definitions,
remarks, theorems, corollaries, lemmas, etc. but a narrative -
almost like a story being told - that does not impede
sophistication and deep results.It covers differential geometry far
beyond what general relativists perceive they need to know. And it
introduces readers to other areas of mathematics that are of
interest to physicists and mathematicians, but are largely
overlooked. Among these is Clifford Algebra and its uses in
conjunction with differential forms and moving frames. It opens new
research vistas that expand the subject matter.In an appendix on
the classical theory of curves and surfaces, the author slashes not
only the main proofs of the traditional approach, which uses vector
calculus, but even existing treatments that also use differential
forms for the same purpose.
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