Differential Geometry for Physicists and Mathematicians: Moving Frames and Differential Forms: From Euclid Past Riemann (Hardcover) (ISBN-13: 9789814566391)

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.

Author: Jose G. Vargas
ISBN-10: 981456639X
ISBN-13: 9789814566391
Publisher: World Scientific Publishing Company
Language: English
Published: 04/07/2014
Pages: 312
Format: Hardcover
Weight: 1.25lbs
Size: 9.10h x 6.00w x 0.90d

Review Citation(s):
Choice 03/01/2015 pg. 1188