Elementary Theory Of Analytic Functions Of One Or Several Complex Variables Cartan
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Elementary Theory Of Analytic Functions Of One Or Several Complex Variables
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Author : Henri Cartan
language : en
Publisher: Courier Corporation
Release Date : 2013-04-22
Elementary Theory Of Analytic Functions Of One Or Several Complex Variables written by Henri Cartan and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-22 with Mathematics categories.
Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.
Elementary Theory Of Analytic Functions Of One Or Several Complex Variables Cartan
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Author : Henri Paul Cartan
language : en
Publisher:
Release Date : 1963
Elementary Theory Of Analytic Functions Of One Or Several Complex Variables Cartan written by Henri Paul Cartan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.
Functions Of One Complex Variable I
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Author : John B. Conway
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Functions Of One Complex Variable I written by John B. Conway 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.
This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - 8 arguments. The actual pre requisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives. The topics from advanced calculus that are used (e.g., Leibniz's rule for differ entiating under the integral sign) are proved in detail. Complex Variables is a subject which has something for all mathematicians. In addition to having applications to other parts of analysis, it can rightly claim to be an ancestor of many areas of mathematics (e.g., homotopy theory, manifolds). This view of Complex Analysis as "An Introduction to Mathe matics" has influenced the writing and selection of subject matter for this book. The other guiding principle followed is that all definitions, theorems, etc.
Elementary Theory Of Analytic Functions Of One Or Several Complex Variables
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Author : Henri Paul Cartan
language : en
Publisher:
Release Date : 1963
Elementary Theory Of Analytic Functions Of One Or Several Complex Variables written by Henri Paul Cartan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Analytic functions categories.
Notes Supplementary To Henri Cartan Elementary Theory Of Analytic Functions Of One Or Several Complex Variables
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Author : L. Schoenfeld
language : en
Publisher:
Release Date : 1964
Notes Supplementary To Henri Cartan Elementary Theory Of Analytic Functions Of One Or Several Complex Variables written by L. Schoenfeld and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Functions of complex variables categories.
Several Complex Variables
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Author : H. Grauert
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Several Complex Variables written by H. Grauert 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.
The present book grew out of introductory lectures on the theory offunctions of several variables. Its intent is to make the reader familiar, by the discussion of examples and special cases, with the most important branches and methods of this theory, among them, e.g., the problems of holomorphic continuation, the algebraic treatment of power series, sheaf and cohomology theory, and the real methods which stem from elliptic partial differential equations. In the first chapter we begin with the definition of holomorphic functions of several variables, their representation by the Cauchy integral, and their power series expansion on Reinhardt domains. It turns out that, in l:ontrast ~ 2 there exist domains G, G c en to the theory of a single variable, for n with G c G and G "# G such that each function holomorphic in G has a continuation on G. Domains G for which such a G does not exist are called domains of holomorphy. In Chapter 2 we give several characterizations of these domains of holomorphy (theorem of Cartan-Thullen, Levi's problem). We finally construct the holomorphic hull H(G} for each domain G, that is the largest (not necessarily schlicht) domain over en into which each function holomorphic on G can be continued.
Classical Complex Analysis
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Author : I-Hsiung Lin
language : en
Publisher: World Scientific
Release Date : 2011
Classical Complex Analysis written by I-Hsiung Lin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
Classical Complex Analysis provides an introduction to one of the remarkable branches of exact science, with an emphasis on the geometric aspects of analytic functions. This volume begins with a geometric description of what a complex number is, followed by a detailed account of algebraic, analytic and geometric properties of standard complex-valued functions. Geometric properties of analytic functions are then developed and described In detail, and various applications of residues are Included; analytic continuation is also introduced. --Book Jacket.
A Second Course In Complex Analysis
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Author : William A. Veech
language : en
Publisher: Courier Corporation
Release Date : 2014-08-04
A Second Course In Complex Analysis written by William A. Veech and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-04 with Mathematics categories.
A clear, self-contained treatment of important areas in complex analysis, this text is geared toward upper-level undergraduates and graduate students. The material is largely classical, with particular emphasis on the geometry of complex mappings. Author William A. Veech, the Edgar Odell Lovett Professor of Mathematics at Rice University, presents the Riemann mapping theorem as a special case of an existence theorem for universal covering surfaces. His focus on the geometry of complex mappings makes frequent use of Schwarz's lemma. He constructs the universal covering surface of an arbitrary planar region and employs the modular function to develop the theorems of Landau, Schottky, Montel, and Picard as consequences of the existence of certain coverings. Concluding chapters explore Hadamard product theorem and prime number theorem.
Theory Of Functions Of A Complex Variable
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Author : A. I. Markushevich
language : en
Publisher: American Mathematical Soc.
Release Date : 2013
Theory Of Functions Of A Complex Variable written by A. I. Markushevich 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 2013 with Analytic functions categories.
Boundary Value Problems And Fourier Expansions
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Author : Charles R. MacCluer
language : en
Publisher: Courier Corporation
Release Date : 2013-01-18
Boundary Value Problems And Fourier Expansions written by Charles R. MacCluer and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-18 with Mathematics categories.
Based on modern Sobolev methods, this text integrates numerical methods and symbolic manipulation into an elegant viewpoint that is consonant with implementation by digital computer. 2004 edition. Includes 64 figures. Exercises.