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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Analysis III
• Subtitle: Analytic and Differential Functions, Manifolds and Riemann Surfaces
• Author: Roger Godement, Urmie Ray
• Language: English
• Binding: Paperback
• Number of pages: 321
• EAN: 9783319160528
• ISBN: 3319160524
• ID: 09197994
• Publisher: Springer International Publishing AG
• Weight: 530 g
• Dimensions: 235 × 155 × 19 mm
• Date of publishing: 05. April 2015

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