By José G Vargas
This is a ebook that the writer needs have been to be had to him while he was once pupil. It displays his curiosity in figuring out (like specialist mathematicians) the main appropriate arithmetic for theoretical physics, yet within the type of physicists. which means one isn't dealing with the examine of a set of definitions, comments, theorems, corollaries, lemmas, and so forth. yet a story — similar to a narrative being instructed — that doesn't abate sophistication and deep results.
It covers differential geometry a ways past what normal relativists understand they should comprehend. And it introduces readers to different parts of arithmetic which are of curiosity to physicists and mathematicians, yet are mostly neglected. between those is Clifford Algebra and its makes use of at the side of differential varieties and relocating frames. It opens new learn vistas that extend the topic matter.
In an appendix at the classical concept of curves and surfaces, the writer slashes not just the most proofs of the conventional method, which makes use of vector calculus, yet even current remedies that still use differential varieties for a similar purpose.
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Extra info for Differential Geometry for Physicists and Mathematicians:Moving Frames and Differential Forms: From Euclid Past Riemann
Differential Geometry for Physicists and Mathematicians:Moving Frames and Differential Forms: From Euclid Past Riemann by José G Vargas