Download PDF by Paul M. Gauthier: Lectures on Several Complex Variables

By Paul M. Gauthier

ISBN-10: 3319115103

ISBN-13: 9783319115108

ISBN-10: 3319376047

ISBN-13: 9783319376042

​​​This monograph offers a concise, available photograph of key subject matters in different complicated variables, together with the Cauchy imperative formulation, sequences of holomorphic services, plurisubharmonic services, the Dirichlet challenge, and meromorphic functions.  in accordance with a direction given at Université de Montréal, this short advent covers parts of latest significance that aren't pointed out in such a lot remedies of the topic, equivalent to modular kinds, that are crucial for Wiles' theorem and the unification of quantum conception and common relativity.   Also coated is the Riemann manifold of a functionality, which generalizes the Riemann floor of a functionality of a unmarried advanced variable and is a subject that's famous in a single complicated variable, yet hardly handled in numerous variables.  Many information, that are deliberately ignored, in addition to many theorems are said as difficulties, offering scholars with conscientiously dependent instructive exercises.


Prerequisites to be used of this e-book are features of 1 complicated variable, capabilities of numerous genuine variables, and topology, all on the undergraduate level.  Lectures on numerous complicated Variables could be of curiosity to complex undergraduate and starting undergraduate scholars, in addition to mathematical researchers and professors.

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Lectures on Several Complex Variables by Paul M. Gauthier

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