# introductory complex analysis

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## Introductory Complex Analysis

**Author :**Richard A. Silverman

**ISBN :**9780486318523

**Genre :**Mathematics

**File Size :**90. 31 MB

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Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers. 1967 edition.

## Introductory Complex And Analysis Applications

**Author :**William R. Derrick

**ISBN :**9781483260488

**Genre :**Mathematics

**File Size :**65. 20 MB

**Format :**PDF

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Introductory Complex and Analysis Applications provides an introduction to the functions of a complex variable, emphasizing applications. This book covers a variety of topics, including integral transforms, asymptotic expansions, harmonic functions, Fourier transformation, and infinite series. Organized into eight chapters, this book begins with an overview of the theory of functions of a complex variable. This text then examines the properties of analytical functions, which are all consequences of the differentiability of the function. Other chapters consider the converse of Taylor's Theorem, namely that convergent power series are analytical functions in their domain of convergence. This book discusses as well the Residue Theorem, which is of fundamental significance in complex analysis and is the core concept in the development of the techniques. The final chapter deals with the method of steepest descent, which is useful in determining the asymptotic behavior of integral representations of analytic functions. This book is a valuable resource for undergraduate students in engineering and mathematics.

## Introductory Complex Analysis

**Author :**Alexandros Kyriakis

**ISBN :**1548730335

**Genre :**

**File Size :**26. 98 MB

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This book is about Complex Numbers .To be more precise ,in contains introductory examples and exercises that are accompanied by the apropriate solutions .So ,once you get stuck you can follow the solutions and improve your abilities.Here are some of the contents in brief : Set of complex numbers ,modulus of a complex number,locus of a complex number ,euler's formulas ,polar form and cartesian form ,hermitan matrices ,zeros and poles ,trigonometric form ,Moivre's formula etc .

## Introductory Complex Analysis By Richard A Silverman

**Author :**Richard A. Silverman

**ISBN :**LCCN:67013669

**Genre :**Functions of complex variables

**File Size :**57. 76 MB

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## Complex Analysis With Applications

**Author :**Richard A. Silverman

**ISBN :**0486647625

**Genre :**Mathematics

**File Size :**29. 56 MB

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The basics of what every scientist and engineer should know, from complex numbers, limits in the complex plane, and complex functions to Cauchy's theory, power series, and applications of residues. 1974 edition.

## An Introduction To Classical Complex Analysis

**Author :**

**ISBN :**0080873987

**Genre :**Mathematics

**File Size :**64. 76 MB

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An Introduction to Classical Complex Analysis

## An Introduction To Complex Analysis

**Author :**Ravi P. Agarwal

**ISBN :**146140195X

**Genre :**Mathematics

**File Size :**79. 95 MB

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This textbook introduces the subject of complex analysis to advanced undergraduate and graduate students in a clear and concise manner. Key features of this textbook: effectively organizes the subject into easily manageable sections in the form of 50 class-tested lectures, uses detailed examples to drive the presentation, includes numerous exercise sets that encourage pursuing extensions of the material, each with an “Answers or Hints” section, covers an array of advanced topics which allow for flexibility in developing the subject beyond the basics, provides a concise history of complex numbers. An Introduction to Complex Analysis will be valuable to students in mathematics, engineering and other applied sciences. Prerequisites include a course in calculus.

## Complex Analysis

**Author :**Steven George Krantz

**ISBN :**0883850354

**Genre :**Mathematics

**File Size :**33. 96 MB

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In this second edition of a Carus Monograph Classic, Steven G. Krantz, a leading worker in complex analysis and a winner of the Chauvenet Prize for outstanding mathematical exposition, develops material on classical non-Euclidean geometry. He shows how it can be developed in a natural way from the invariant geometry of the complex disk. He also introduces the Bergmann kernel and metric and provides profound applications, some of which have never appeared in print before. In general, the new edition represents a considerable polishing and re-thinking of the original successful volume. A minimum of geometric formalism is used to gain a maximum of geometric and analytic insight. The climax of the book is an introduction to several complex variables from the geometric viewpoint. Poincar's theorem, that the ball and bidisc are biholomorphically inequivalent, is discussed and proved.

## Complex Analysis

**Author :**Mario Gonzalez

**ISBN :**0824784162

**Genre :**Mathematics

**File Size :**55. 60 MB

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A selection of some important topics in complex analysis, intended as a sequel to the author's Classical complex analysis (see preceding entry). The five chapters are devoted to analytic continuation; conformal mappings, univalent functions, and nonconformal mappings; entire function; meromorphic fu

## Complex Analysis

**Author :**Prem K. Kythe

**ISBN :**9781498718998

**Genre :**Mathematics

**File Size :**35. 53 MB

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Complex Analysis: Conformal Inequalities and the Bieberbach Conjecture discusses the mathematical analysis created around the Bieberbach conjecture, which is responsible for the development of many beautiful aspects of complex analysis, especially in the geometric-function theory of univalent functions. Assuming basic knowledge of complex analysis and differential equations, the book is suitable for graduate students engaged in analytical research on the topics and researchers working on related areas of complex analysis in one or more complex variables. The author first reviews the theory of analytic functions, univalent functions, and conformal mapping before covering various theorems related to the area principle and discussing Löwner theory. He then presents Schiffer’s variation method, the bounds for the fourth and higher-order coefficients, various subclasses of univalent functions, generalized convexity and the class of α-convex functions, and numerical estimates of the coefficient problem. The book goes on to summarize orthogonal polynomials, explore the de Branges theorem, and address current and emerging developments since the de Branges theorem.