Differential Geometry for Physicists and Mathematicians [PDF] [StormRG]

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Added on June 10, 2014 by 0xmovvain Books > Ebooks
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Differential Geometry for Physicists and Mathematicians [PDF] [StormRG] (Size: 4.85 MB)
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 Differential Geometry for Physicists and Mathematicians - Vargas, Jos G.pdf4.76 MB
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Description

Author: Jose G Vargas
Hardcover: 312 pages
Publisher: World Scientific Publishing Company (April 18, 2014)
Language: English
ISBN-10: 981456639X
ISBN-13: 978-9814566391
Format: Retail PDF
Reader Required: Adobe Reader, Foxit, Nitro, Adobe Digital Editions

Note: This is the eBook of the printed book and may not include any media,website access codes, or print supplements that may come packaged with the bound book.

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Cover from actual book file


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.

Readership: Physicists and mathematicians working on differential geometry.


Scientia est potentia

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Differential Geometry for Physicists and Mathematicians [PDF] [StormRG]

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