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Analyse mathématique III: Fonctions analytiques, différentielles et variétés, surfaces de Riemann [Paperback]

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Item description for Analyse mathématique III: Fonctions analytiques, différentielles et variétés, surfaces de Riemann by Roger Godement...

Ce vol. III expose la thorie classique de Cauchy dans un esprit orient bien davantage vers ses innombrables utilisations que vers une thorie plus ou moins complte des fonctions analytiques. On montre ensuite comment les intgrales curvilignes la Cauchy se gnralisent un nombre quelconque de variables relles (formes diffrentielles, formules de type Stokes). Les bases de la thorie des varits sont ensuite exposes, principalement pour fournir au lecteur le langage "canonique" et quelques thormes importants (changement de variables dans les intgrales, quations diffrentielles). Un dernier chapitre montre comment on peut utiliser ces thories pour construire la surface de Riemann compacte d'une fonction algbrique, sujet rarement trait dans la littrature non spcialise bien que n'xigeant que des techniques lmentaires. Un volume IV exposera, outre,l'intgrale de Lebesgue, un bloc de mathmatiques spcialises vers lequel convergera tout le contenu des volumes prcdents: sries et produits infinis de Jacobi, Riemann, Dedekind, fonctions elliptiques, thorie classique des fonctions modulaires et la version moderne utilisant la structure de groupe de Lie de SL(2,R).



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Item Specifications...


Pages   338
Est. Packaging Dimensions:   Length: 9.2" Width: 6.1" Height: 0.8"
Weight:   1.15 lbs.
Binding  Softcover
Release Date   Nov 20, 2001
Publisher   Springer
ISBN  3540661425  
ISBN13  9783540661429  


Availability  132 units.
Availability accurate as of Mar 27, 2017 12:54.
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