Analysis III - Analytic and Differential Functions, Manifolds and Riemann Surfaces (Paperback, 2015 ed.)

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 integration, differential equations). A final chapter shows how these theorems can be used to construct the compact Riemann surface of an algebraic function, a subject that is rarely addressed in the general literature though it only requires elementary techniques. Besides the Lebesgue integral, Volume IV will set out a piece of specialized mathematics towards which the entire content of the previous volumes will converge: Jacobi, Riemann, Dedekind series and infinite products, elliptic functions, classical theory of modular functions and its modern version using the structure of the Lie algebra of SL(2,R).

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Universitext
Release date:	April 2015
First published:	2015
Authors:	Roger Godement
Translators:	Urmie Ray
Dimensions:	235 x 155 x 19mm (L x W x T)
Format:	Paperback
Pages:	321
Edition:	2015 ed.
ISBN-13:	978-3-319-16052-8
Languages:	English
Subtitles:	French
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis Promotions
LSN:	3-319-16052-4
Barcode:	9783319160528

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!