Analysis III

Analytic and Differential Functions, Manifolds and Riemann Surfaces

af Roger Godement

Volume III sets out classical Cauchy theory. It is much more geared towards its innumerable applications than towards a more or less complete theory of analytic functions. Cauchy-type curvilinear integrals are then shown to generalize to any number of real variables (differential forms, Stokes-type formulas). The fundamentals of the theory of manifolds are then presented, mainly to provide the reader with a "canonical'''' language and with some important theorems (change of variables in integrat... (Læs mere)