# complex analysis in one variable

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## Complex Analysis In One Variable

**Author :**Raghavan Narasimhan

**ISBN :**9781461201755

**Genre :**Mathematics

**File Size :**33. 80 MB

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The original edition of this book has been out of print for some years. The appear ance of the present second edition owes much to the initiative of Yves Nievergelt at Eastern Washington University, and the support of Ann Kostant, Mathematics Editor at Birkhauser. Since the book was first published, several people have remarked on the absence of exercises and expressed the opinion that the book would have been more useful had exercises been included. In 1997, Yves Nievergelt informed me that, for a decade, he had regularly taught a course at Eastern Washington based on the book, and that he had systematically compiled exercises for his course. He kindly put his work at my disposal. Thus, the present edition appears in two parts. The first is essentially just a reprint of the original edition. I have corrected the misprints of which I have become aware (including those pointed out to me by others), and have made a small number of other minor changes.

## Complex Analysis In One Variable

**Author :**NARASIMHAN

**ISBN :**9781475711066

**Genre :**Mathematics

**File Size :**35. 54 MB

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This book is based on a first-year graduate course I gave three times at the University of Chicago. As it was addressed to graduate students who intended to specialize in mathematics, I tried to put the classical theory of functions of a complex variable in context, presenting proofs and points of view which relate the subject to other branches of mathematics. Complex analysis in one variable is ideally suited to this attempt. Of course, the branches of mathema tics one chooses, and the connections one makes, must depend on personal taste and knowledge. My own leaning towards several complex variables will be apparent, especially in the notes at the end of the different chapters. The first three chapters deal largely with classical material which is avai lable in the many books on the subject. I have tried to present this material as efficiently as I could, and, even here, to show the relationship with other branches of mathematics. Chapter 4 contains a proof of Picard's theorem; the method of proof I have chosen has far-reaching generalizations in several complex variables and in differential geometry. The next two chapters deal with the Runge approximation theorem and its many applications. The presentation here has been strongly influenced by work on several complex variables.

## Complex Analysis In One Variable

**Author :**Raghavan Narasimhan

**ISBN :**9781461201755

**Genre :**Mathematics

**File Size :**36. 71 MB

**Format :**PDF, Kindle

**Download :**240

**Read :**1198

The original edition of this book has been out of print for some years. The appear ance of the present second edition owes much to the initiative of Yves Nievergelt at Eastern Washington University, and the support of Ann Kostant, Mathematics Editor at Birkhauser. Since the book was first published, several people have remarked on the absence of exercises and expressed the opinion that the book would have been more useful had exercises been included. In 1997, Yves Nievergelt informed me that, for a decade, he had regularly taught a course at Eastern Washington based on the book, and that he had systematically compiled exercises for his course. He kindly put his work at my disposal. Thus, the present edition appears in two parts. The first is essentially just a reprint of the original edition. I have corrected the misprints of which I have become aware (including those pointed out to me by others), and have made a small number of other minor changes.

## Complex Analysis In One Variable

**Author :**Raghavan Narasimhan

**ISBN :**0817641645

**Genre :**Mathematics

**File Size :**83. 55 MB

**Format :**PDF, ePub

**Download :**418

**Read :**910

The original edition of this book has been out of print for some years. The appear ance of the present second edition owes much to the initiative of Yves Nievergelt at Eastern Washington University, and the support of Ann Kostant, Mathematics Editor at Birkhauser. Since the book was first published, several people have remarked on the absence of exercises and expressed the opinion that the book would have been more useful had exercises been included. In 1997, Yves Nievergelt informed me that, for a decade, he had regularly taught a course at Eastern Washington based on the book, and that he had systematically compiled exercises for his course. He kindly put his work at my disposal. Thus, the present edition appears in two parts. The first is essentially just a reprint of the original edition. I have corrected the misprints of which I have become aware (including those pointed out to me by others), and have made a small number of other minor changes.

## A Course In Complex Analysis In One Variable

**Author :**Martin A. Moskowitz

**ISBN :**981024780X

**Genre :**Mathematics

**File Size :**34. 18 MB

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Organized in an especially efficient manner, presenting basic complex analysis. Includes about 50 exercises

## Function Theory Of One Complex Variable

**Author :**Robert Everist Greene

**ISBN :**0821839624

**Genre :**Mathematics

**File Size :**78. 59 MB

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This book is a text for a first-year graduate course in complex analysis. It is a modern introduction to the subject, reflecting the authors' expertise both as mathematicians and as expositors."--BOOK JACKET.

## Functions Of One Complex Variable

**Author :**J.B. Conway

**ISBN :**9781461599722

**Genre :**Mathematics

**File Size :**21. 5 MB

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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 - I) 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.

## An Introduction To Complex Analysis In Several Variables

**Author :**L. Hormander

**ISBN :**9780444105233

**Genre :**Mathematics

**File Size :**62. 54 MB

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An Introduction to Complex Analysis in Several Variables

## Functions Of One Complex Variable I

**Author :**John B. Conway

**ISBN :**9781461263135

**Genre :**Mathematics

**File Size :**21. 93 MB

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"This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year's course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis. The approach to each topic appears to be carefully thought out both as to mathematical treatment and pedagogical presentation, and the end result is a very satisfactory book." --MATHSCINET

## Visual Complex Analysis

**Author :**Tristan Needham

**ISBN :**0198534469

**Genre :**Mathematics

**File Size :**51. 57 MB

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Now available in paperback, this successful radical approach to complex analysis replaces the standard calculational arguments with new geometric ones. With several hundred diagrams, and far fewer prerequisites than usual, this is the first visual intuitive introduction to complex analysis. Although designed for use by undergraduates in mathematics and science, the novelty of the approach will also interest professional mathematicians.