lectures on several complex variables

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Lectures On Counterexamples In Several Complex Variables

Author : John Erik Fornæss
ISBN : 0821869493
Genre : Mathematics
File Size : 90. 40 MB
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Lectures On Several Complex Variables

Author : Paul M. Gauthier
ISBN : 9783319115115
Genre : Mathematics
File Size : 77. 70 MB
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​​​This monograph provides a concise, accessible snapshot of key topics in several complex variables, including the Cauchy Integral Formula, sequences of holomorphic functions, plurisubharmonic functions, the Dirichlet problem, and meromorphic functions. Based on a course given at Université de Montréal, this brief introduction covers areas of contemporary importance that are not mentioned in most treatments of the subject, such as modular forms, which are essential for Wiles' theorem and the unification of quantum theory and general relativity. Also covered is the Riemann manifold of a function, which generalizes the Riemann surface of a function of a single complex variable and is a topic that is well-known in one complex variable, but rarely treated in several variables. Many details, which are intentionally left out, as well as many theorems are stated as problems, providing students with carefully structured instructive exercises. Prerequisites for use of this book are functions of one complex variable, functions of several real variables, and topology, all at the undergraduate level. Lectures on Several Complex Variables will be of interest to advanced undergraduate and beginning undergraduate students, as well as mathematical researchers and professors.

Lectures On Functions Of Several Complex Variables

Author : Lars Hörmander
ISBN : STANFORD:36105033197729
Genre : Mathematics
File Size : 84. 6 MB
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Lectures On Several Complex Variables

Author : Yitzhak Katznelson
ISBN : OCLC:474453959
Genre : Functions of complex variables
File Size : 25. 57 MB
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Several Complex Variables

Author : Raghavan Narasimhan
ISBN : 0226568172
Genre : Mathematics
File Size : 20. 97 MB
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Drawn from lectures given by Raghavan Narasimhan at the University of Geneva and the University of Chicago, this book presents the part of the theory of several complex variables pertaining to unramified domains over C . Topics discussed are Hartogs' theory, domains in holomorphy, and automorphism of bounded domains.

Introduction To Several Complex Variables

Author : Lipman Bers
ISBN : PSU:000003378281
Genre : Mathematics
File Size : 47. 22 MB
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Lectures On Several Complex Variables Notes Prepared By Frederick Greenleaf With The Assistance Of Matthew Rosenblatt Carruth Macgeehee I David Berg

Author : Yitzhak Katznelson
ISBN : OCLC:639846972
Genre : Functions of complex variables
File Size : 55. 68 MB
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Lectures On The Theory Of Functions Of Several Complex Variables

Author : Bernard Malgrange
ISBN : OCLC:17424913
Genre : Functions of several complex variables
File Size : 52. 93 MB
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Analytic Functions Of Several Complex Variables

Author : Carl Ludwig Siegel
ISBN : STANFORD:36105031172252
Genre : Analytic functions
File Size : 20. 8 MB
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Several Complex Variables And Complex Manifolds Ii

Author : Mike Field
ISBN : 0521288886
Genre : Mathematics
File Size : 84. 26 MB
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This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds is intended to be a synthesis of those topics and a broad introduction to the field. Part I is suitable for advanced undergraduates and beginning postgraduates whilst Part II is written more for the graduate student. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a working knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The prerequisites for understanding Part I would be met by any mathematics student with a first degree and together the two parts provide an introduction to the more advanced works in the subject.

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