Analysis II

Analysis II is the second and last part of an introduction to analysis which is based on the author's undergraduate course, Analysis I-III, and the more advanced course, Tensoranalysis, at Heidelberg. It comprises materials for a four-semester course, and can be used as a textbook. The book covers elements of functional analysis, differentiation in Banach spaces, the fundamental existence theorems in analysis, ordinary differential equations, Lebesgue's theory of integration, tensor analysis, and the theory of submanifolds in semi-Riemannian spaces. This book is intended for graduate students or for very motivated undergraduates who want to pursue studies in the fields of math or physics. Also see, Analysis I