Elementary Theory of Analytic Functions of One or Several Complex Variables

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Publisher : Courier Corporation
ISBN 13 : 0486318672
Total Pages : 242 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Elementary Theory of Analytic Functions of One or Several Complex Variables by : Henri Cartan

Download or read book Elementary Theory of Analytic Functions of One or Several Complex Variables written by Henri Cartan and published by Courier Corporation. This book was released on 2013-04-22 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.:/5 (848 download)

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Book Synopsis Elementary Theory of Analytic Functions of One Or Several Complex Variables by : Henri Paul Cartan

Download or read book Elementary Theory of Analytic Functions of One Or Several Complex Variables written by Henri Paul Cartan and published by . This book was released on 1963 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theorie elementaire des fonctions analytiques d'une ou plusieurs variables complexes

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Publisher :
ISBN 13 :
Total Pages : 231 pages
Book Rating : 4.:/5 (61 download)

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Book Synopsis Theorie elementaire des fonctions analytiques d'une ou plusieurs variables complexes by : Henri Cartan

Download or read book Theorie elementaire des fonctions analytiques d'une ou plusieurs variables complexes written by Henri Cartan and published by . This book was released on 1985 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory of Analytic Functions of Several Complex Variables

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821886441
Total Pages : 402 pages
Book Rating : 4.8/5 (864 download)

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Book Synopsis Theory of Analytic Functions of Several Complex Variables by : Boris Abramovich Fuks

Download or read book Theory of Analytic Functions of Several Complex Variables written by Boris Abramovich Fuks and published by American Mathematical Soc.. This book was released on 1963 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Théorie élémentaire des fonctions analytiques d'une ou plusieurs variables complexes

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Publisher :
ISBN 13 :
Total Pages : 231 pages
Book Rating : 4.:/5 (636 download)

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Book Synopsis Théorie élémentaire des fonctions analytiques d'une ou plusieurs variables complexes by : Henri Cartan

Download or read book Théorie élémentaire des fonctions analytiques d'une ou plusieurs variables complexes written by Henri Cartan and published by . This book was released on 1975 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Complex Variables for Scientists and Engineers

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Publisher : Cambridge University Press
ISBN 13 : 113948883X
Total Pages : 451 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Applied Complex Variables for Scientists and Engineers by : Yue Kuen Kwok

Download or read book Applied Complex Variables for Scientists and Engineers written by Yue Kuen Kwok and published by Cambridge University Press. This book was released on 2010-06-24 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to complex variable methods begins by carefully defining complex numbers and analytic functions, and proceeds to give accounts of complex integration, Taylor series, singularities, residues and mappings. Both algebraic and geometric tools are employed to provide the greatest understanding, with many diagrams illustrating the concepts introduced. The emphasis is laid on understanding the use of methods, rather than on rigorous proofs. Throughout the text, many of the important theoretical results in complex function theory are followed by relevant and vivid examples in physical sciences. This second edition now contains 350 stimulating exercises of high quality, with solutions given to many of them. Material has been updated and additional proofs on some of the important theorems in complex function theory are now included, e.g. the Weierstrass–Casorati theorem. The book is highly suitable for students wishing to learn the elements of complex analysis in an applied context.

Complex Analysis

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Publisher :
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Complex Analysis by : Lars Ahlfors

Download or read book Complex Analysis written by Lars Ahlfors and published by . This book was released on 1979 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy's theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals.

Complex Analysis: an Introduction to Theory of Analytic Functions of One Complex Variable

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Publisher :
ISBN 13 :
Total Pages : 331 pages
Book Rating : 4.:/5 (889 download)

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Book Synopsis Complex Analysis: an Introduction to Theory of Analytic Functions of One Complex Variable by : Ahlfors Lars V

Download or read book Complex Analysis: an Introduction to Theory of Analytic Functions of One Complex Variable written by Ahlfors Lars V and published by . This book was released on 1981 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Théorie élémentaire des fonctions analytiques d'une ou plusieurs variables complexes

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Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.:/5 (459 download)

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Book Synopsis Théorie élémentaire des fonctions analytiques d'une ou plusieurs variables complexes by : Henri Cartan

Download or read book Théorie élémentaire des fonctions analytiques d'une ou plusieurs variables complexes written by Henri Cartan and published by . This book was released on 1961 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to the Theory of Analytic Functions of Several Complex Variables

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Publisher :
ISBN 13 : 9780608309194
Total Pages : 388 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Introduction to the Theory of Analytic Functions of Several Complex Variables by : B. A. Fuks

Download or read book Introduction to the Theory of Analytic Functions of Several Complex Variables written by B. A. Fuks and published by . This book was released on 1963 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex Analysis

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Publisher :
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.:/5 (37 download)

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Book Synopsis Complex Analysis by : Lars Valerian Ahlfors

Download or read book Complex Analysis written by Lars Valerian Ahlfors and published by . This book was released on 1966 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 0817649190
Total Pages : 238 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Complex Analysis by : John Stalker

Download or read book Complex Analysis written by John Stalker and published by Springer Science & Business Media. This book was released on 2009-10-03 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: All modem introductions to complex analysis follow, more or less explicitly, the pattern laid down in Whittaker and Watson [75]. In "part I'' we find the foundational material, the basic definitions and theorems. In "part II" we find the examples and applications. Slowly we begin to understand why we read part I. Historically this is an anachronism. Pedagogically it is a disaster. Part II in fact predates part I, so clearly it can be taught first. Why should the student have to wade through hundreds of pages before finding out what the subject is good for? In teaching complex analysis this way, we risk more than just boredom. Beginning with a series of unmotivated definitions gives a misleading impression of complex analy sis in particular and of mathematics in general. The classical theory of analytic functions did not arise from the idle speculation of bored mathematicians on the possible conse quences of an arbitrary set of definitions; it was the natural, even inevitable, consequence of the practical need to answer questions about specific examples. In standard texts, after hundreds of pages of theorems about generic analytic functions with only the rational and trigonometric functions as examples, students inevitably begin to believe that the purpose of complex analysis is to produce more such theorems. We require introductory com plex analysis courses of our undergraduates and graduates because it is useful both within mathematics and beyond.

Analytic Function Theory of Several Variables

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Publisher : Springer
ISBN 13 : 9789811091247
Total Pages : 397 pages
Book Rating : 4.0/5 (912 download)

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Book Synopsis Analytic Function Theory of Several Variables by : Junjiro Noguchi

Download or read book Analytic Function Theory of Several Variables written by Junjiro Noguchi and published by Springer. This book was released on 2018-06-15 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to present the classical analytic function theory of several variables as a standard subject in a course of mathematics after learning the elementary materials (sets, general topology, algebra, one complex variable). This includes the essential parts of Grauert–Remmert's two volumes, GL227(236) (Theory of Stein spaces) and GL265 (Coherent analytic sheaves) with a lowering of the level for novice graduate students (here, Grauert's direct image theorem is limited to the case of finite maps).The core of the theory is "Oka's Coherence", found and proved by Kiyoshi Oka. It is indispensable, not only in the study of complex analysis and complex geometry, but also in a large area of modern mathematics. In this book, just after an introductory chapter on holomorphic functions (Chap. 1), we prove Oka's First Coherence Theorem for holomorphic functions in Chap. 2. This defines a unique character of the book compared with other books on this subject, in which the notion of coherence appears much later.The present book, consisting of nine chapters, gives complete treatments of the following items: Coherence of sheaves of holomorphic functions (Chap. 2); Oka–Cartan's Fundamental Theorem (Chap. 4); Coherence of ideal sheaves of complex analytic subsets (Chap. 6); Coherence of the normalization sheaves of complex spaces (Chap. 6); Grauert's Finiteness Theorem (Chaps. 7, 8); Oka's Theorem for Riemann domains (Chap. 8). The theories of sheaf cohomology and domains of holomorphy are also presented (Chaps. 3, 5). Chapter 6 deals with the theory of complex analytic subsets. Chapter 8 is devoted to the applications of formerly obtained results, proving Cartan–Serre's Theorem and Kodaira's Embedding Theorem. In Chap. 9, we discuss the historical development of "Coherence".It is difficult to find a book at this level that treats all of the above subjects in a completely self-contained manner. In the present volume, a number of classical proofs are improved and simplified, so that the contents are easily accessible for beginning graduate students.

Complex Analysis

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Publisher :
ISBN 13 : 9781470467678
Total Pages : pages
Book Rating : 4.4/5 (676 download)

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Book Synopsis Complex Analysis by : Lars Valerian Ahlfors

Download or read book Complex Analysis written by Lars Valerian Ahlfors and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "The back-up contains a draft of the title page, copyright page, toc, and preface. DO NOT INCLUDE THIS IN THE CIP RECORD"--

Complex Analysis

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Publisher :
ISBN 13 :
Total Pages : 254 pages
Book Rating : 4.:/5 (867 download)

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Book Synopsis Complex Analysis by : Lars V. Ahlfors

Download or read book Complex Analysis written by Lars V. Ahlfors and published by . This book was released on 1953 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex Variables

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Publisher : Courier Corporation
ISBN 13 : 0486613887
Total Pages : 386 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Complex Variables by : Francis J. Flanigan

Download or read book Complex Variables written by Francis J. Flanigan and published by Courier Corporation. This book was released on 1983-01-01 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents include calculus in the plane; harmonic functions in the plane; analytic functions and power series; singular points and Laurent series; and much more. Numerous problems and solutions. 1972 edition.

An Introduction to Complex Analysis in Several Variables

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Publisher : Elsevier
ISBN 13 : 0444105239
Total Pages : 227 pages
Book Rating : 4.4/5 (441 download)

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Book Synopsis An Introduction to Complex Analysis in Several Variables by : L. Hormander

Download or read book An Introduction to Complex Analysis in Several Variables written by L. Hormander and published by Elsevier. This book was released on 1973-02-12 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Complex Analysis in Several Variables