Analysis II

About this book

Analysis II is the second and last part of an introduction to analysis which is based on the authors undergraduate course Analysis I-III and the more advanced course Tensoranalysis at Heidelberg. It comprises of 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 Lebesgues 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.