2017/01/04 by Yi-Zen Chu, Chu, Yi-Zen
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.1701.00776
openalex publication_date 2017/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.