By José G Vargas
This is a ebook that the writer needs have been on hand to him while he used to be pupil. It displays his curiosity in realizing (like specialist mathematicians) the main appropriate arithmetic for theoretical physics, yet within the type of physicists. which means one isn't really dealing with the research of a set of definitions, comments, theorems, corollaries, lemmas, and so forth. yet a story — just like a narrative being advised — that doesn't hamper sophistication and deep results.
It covers differential geometry a long way past what basic relativists understand they should comprehend. And it introduces readers to different components of arithmetic which are of curiosity to physicists and mathematicians, yet are mostly ignored. between those is Clifford Algebra and its makes use of at the side of differential kinds and relocating frames. It opens new study vistas that extend the topic matter.
In an appendix at the classical idea of curves and surfaces, the writer slashes not just the most proofs of the conventional procedure, which makes use of vector calculus, yet even current remedies that still use differential types for a similar purpose.
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Additional 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