By José G Vargas
ISBN-10: 981456639X
ISBN-13: 9789814566391
This is a booklet that the writer needs were on hand to him whilst he used to be pupil. It displays his curiosity in understanding (like professional mathematicians) the main appropriate arithmetic for theoretical physics, yet within the sort of physicists. which means one isn't dealing with the research of a suite of definitions, feedback, theorems, corollaries, lemmas, and so on. yet a story — the same as a narrative being advised — that doesn't bog down sophistication and deep results.
It covers differential geometry a ways past what basic relativists understand they should recognize. And it introduces readers to different components of arithmetic which are of curiosity to physicists and mathematicians, yet are mostly neglected. between those is Clifford Algebra and its makes use of along with differential types and relocating frames. It opens new examine vistas that extend the topic matter.
In an appendix at the classical thought of curves and surfaces, the writer slashes not just the most proofs of the normal process, which makes use of vector calculus, yet even current remedies that still use differential kinds for a similar purpose.
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Differential Geometry for Physicists and Mathematicians:Moving Frames and Differential Forms: From Euclid Past Riemann by José G Vargas
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