Differential Geometry for Physicists and Mathematicians: Moving Frames and Differential Forms: from Euclid Past Riemann - Rilegato

Vargas, Jose G.

Rilegato

ISBN 10: 981456639X ISBN 13: 9789814566391

Casa editrice: World Scientific Pub Co Inc, 2014

Riassunto

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.An appendix on the classic theory of curves and surfaces slashes is included. It does not only contain the traditional approach that uses vector calculus, but also the treatments of the subject by those who have already used differential forms for the same purpose.

Dettagli dell?edizione

• Editore: World Scientific Pub Co Inc
• Data di pubblicazione: 2014
• ISBN 10: 981456639X
• ISBN 13: 9789814566391
• Rilegatura: Copertina rigida
• Lingua: Inglese
• Numero di pagine: 312