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Introduction To Complex Analysis In Several Variables


Introduction To Complex Analysis In Several Variables
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Introduction To Complex Analysis In Several Variables


Introduction To Complex Analysis In Several Variables
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Author : Volker Scheidemann
language : en
Publisher: Springer Nature
Release Date : 2023

Introduction To Complex Analysis In Several Variables written by Volker Scheidemann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Functions of complex variables categories.


This book gives a comprehensive introduction to complex analysis in several variables. While it focusses on a number of topics in complex analysis rather than trying to cover as much material as possible, references to other parts of mathematics such as functional analysis or algebras are made to help broaden the view and the understanding of the chosen topics. A major focus are extension phenomena alien to the one-dimensional theory, which are expressed in the famous Hartog's Kugelsatz, the theorem of Cartan-Thullen, and Bochner's theorem. The book aims primarily at students starting to work in the field of complex analysis in several variables and instructors preparing a course. To that end, a lot of examples and supporting exercises are provided throughout the text. This second edition includes hints and suggestions for the solution of the provided exercises, with various degrees of support.



An Introduction To Complex Analysis In Several Variables


An Introduction To Complex Analysis In Several Variables
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Author : L. Hormander
language : en
Publisher: Elsevier
Release Date : 1973-02-12

An Introduction To Complex Analysis In Several Variables written by L. Hormander and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-02-12 with Mathematics categories.


An Introduction to Complex Analysis in Several Variables



An Introduction To Complex Analysis In Several Variables


An Introduction To Complex Analysis In Several Variables
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Author : Lars Hörmander
language : en
Publisher:
Release Date : 1979

An Introduction To Complex Analysis In Several Variables written by Lars Hörmander and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Analytic functions categories.




An Introduction To Complex Analysis In Several Variables


An Introduction To Complex Analysis In Several Variables
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Author : Lars Hormander
language : en
Publisher:
Release Date : 1973

An Introduction To Complex Analysis In Several Variables written by Lars Hormander and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Analytic functions categories.




Introduction To Complex Analysis


Introduction To Complex Analysis
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Author : Boris Vladimirovich Shabat
language : en
Publisher: American Mathematical Soc.
Release Date : 1992-11-04

Introduction To Complex Analysis written by Boris Vladimirovich Shabat and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-11-04 with Mathematics categories.


Since the 1960s, there has been a flowering in higher-dimensional complex analysis. Both classical and new results in this area have found numerous applications in analysis, differential and algebraic geometry, and, in particular, contemporary mathematical physics. In many areas of modern mathematics, the mastery of the foundations of higher-dimensional complex analysis has become necessary for any specialist. Intended as a first study of higher-dimensional complex analysis, this book covers the theory of holomorphic functions of several complex variables, holomorphic mappings, and submanifolds of complex Euclidean space.



Complex Analysis Of Several Variables


Complex Analysis Of Several Variables
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Author : Yum-Tong Siu
language : en
Publisher: American Mathematical Soc.
Release Date : 1984

Complex Analysis Of Several Variables written by Yum-Tong Siu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.


Presents a collection of papers from the Symposium on Several Complex Variables held April 12-15, 1983 in Madison, Wisconsin. This book contains a selection of the presented papers as well as some contributed papers.



An Introduction To Complex Analysis In Several Variables


An Introduction To Complex Analysis In Several Variables
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Author : Lars Hormander
language : nl
Publisher:
Release Date : 1973

An Introduction To Complex Analysis In Several Variables written by Lars Hormander and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.




Complex Variables


Complex Variables
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Author : Carlos A. Berenstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Complex Variables written by Carlos A. Berenstein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Textbooks, even excellent ones, are a reflection of their times. Form and content of books depend on what the students know already, what they are expected to learn, how the subject matter is regarded in relation to other divisions of mathematics, and even how fashionable the subject matter is. It is thus not surprising that we no longer use such masterpieces as Hurwitz and Courant's Funktionentheorie or Jordan's Cours d'Analyse in our courses. The last two decades have seen a significant change in the techniques used in the theory of functions of one complex variable. The important role played by the inhomogeneous Cauchy-Riemann equation in the current research has led to the reunification, at least in their spirit, of complex analysis in one and in several variables. We say reunification since we think that Weierstrass, Poincare, and others (in contrast to many of our students) did not consider them to be entirely separate subjects. Indeed, not only complex analysis in several variables, but also number theory, harmonic analysis, and other branches of mathematics, both pure and applied, have required a reconsidera tion of analytic continuation, ordinary differential equations in the complex domain, asymptotic analysis, iteration of holomorphic functions, and many other subjects from the classic theory of functions of one complex variable. This ongoing reconsideration led us to think that a textbook incorporating some of these new perspectives and techniques had to be written.



Mathematical Analysis


Mathematical Analysis
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Author : Mariano Giaquinta
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-08-31

Mathematical Analysis written by Mariano Giaquinta and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-31 with Mathematics categories.


* Embraces a broad range of topics in analysis requiring only a sound knowledge of calculus and the functions of one variable. * Filled with beautiful illustrations, examples, exercises at the end of each chapter, and a comprehensive index.



An Introduction To Several Complex Variables And Partial Differential Equations


An Introduction To Several Complex Variables And Partial Differential Equations
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Author : H Begehr
language : en
Publisher: Chapman and Hall/CRC
Release Date : 1997-07-09

An Introduction To Several Complex Variables And Partial Differential Equations written by H Begehr and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-07-09 with Mathematics categories.