Analytical Methods in Physics
arXiv:1701.00776
Abstract
This set of lecture notes constitutes the free textbook project I initiated towards the end of Summer 2015, while preparing for the Fall 2015 Analytical Methods in Physics course I taught to upper level undergraduates at the University of Minnesota Duluth. During Fall 2017, I taught Differential Geometry and Physics in Curved Spacetimes at National Central University, Taiwan; and this gave me an opportunity to expand on the text. Topics currently covered include: complex numbers, matrix algebra, finite and infinite dimensional vector spaces, calculus on the complex plane, special/approximation methods in calculus, differential geometry in curved space(time)s, and partial differential equations.
292 pages. Suggestions, questions, comments, error reports, etc., most welcomed. The latest version of this free textbook will be maintained at http://www.stargazing.net/yizen/AnalyticalMethods_YZChu.pdf