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Analysis III: Analytic and Differential Functions, Manifolds and Riemann Surfaces (Universitext) - Softcover
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...
About the Author
Roger Godement (October 1, 1921 - July 21, 2016) is known for his work in functional analysis and also his expository books. He started as a student at the École normale supérieure in 1940, where he became a student of Henri Cartan. He started research into harmonic analysis on locally compact abelian groups, finding a number of major results; this work was in parallel but independent of...
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- PublisherSpringer
- Publication date2015
- ISBN 10 3319160524
- ISBN 13 9783319160528
- BindingPaperback
- LanguageEnglish
- Number of pages328
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Analysis III: Analytic and Differential Functions, Manifolds and Riemann Surfaces (Universitext)
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Analysis III
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Springer International Publishing Apr 2015, 2015
ISBN 10: 3319160524
ISBN 13: 9783319160528
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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). 332 pp. Englisch. Seller Inventory # 9783319160528
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Analysis III: Analytic and Differential Functions, Manifolds and Riemann Surfaces (Universitext)
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Analysis III: Analytic and Differential Functions, Manifolds and Riemann Surfaces (Universitext)
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