Analytical Methods in Physics

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.
Comment: 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