Introductory Complex Analysis
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Introductory Complex Analysis
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Author : Richard A. Silverman
language : en
Publisher: Courier Corporation
Release Date : 2013-04-15
Introductory Complex Analysis written by Richard A. Silverman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-15 with Mathematics categories.
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
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Author : William R. Derrick
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Introductory Complex And Analysis Applications written by William R. Derrick and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
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.
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
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
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Author : Ravi P. Agarwal
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-01
An Introduction To Complex Analysis written by Ravi P. Agarwal 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 2011-07-01 with Mathematics categories.
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.
Introductory Complex Analysis
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Author :
language : en
Publisher:
Release Date : 1967
Introductory Complex Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Functions of complex variables categories.
Introduction To Complex Analysis
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Author : Rolf Nevanlinna
language : en
Publisher: American Mathematical Society
Release Date : 2007-10-09
Introduction To Complex Analysis written by Rolf Nevanlinna and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-09 with Mathematics categories.
This textbook, based on lectures given by the authors, presents the elements of the theory of functions in a precise fashion. This introduction is ideal for the third or fourth year of undergraduate study and for graduate students learning complex analysis. Over 300 exercises offer important insight into the subject.
Introduction To Complex Analysis
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Author : Kunihiko Kodaira
language : en
Publisher: Cambridge University Press
Release Date : 1984-12-28
Introduction To Complex Analysis written by Kunihiko Kodaira and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-12-28 with Mathematics categories.
This textbook is an introduction to the classical theory of functions of a complex variable. The author's aim is to explain the basic theory in an easy-to-understand and careful way. He emphasizes geometrical considerations and, to avoid topological difficulties associated with complex analysis, begins by deriving Cauchy's integral formula in a topologically simple case and then deduces the basic properties of continuous and differentiable functions. The general versions of Cauchy's Theorem and integral formula are proved in Chapter 2. The remainder of the book deals with conformal mappings, analytic continuation, and Riemann's Mapping Theorem. The presentation here is very full and detailed. The book is profusely illustrated and includes many examples. Problems are collected together at the end of the book. It should be an ideal text for first courses in complex analysis.
Introduction To Complex Analysis
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Author : E.M. Chirka
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Introduction To Complex Analysis written by E.M. Chirka 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.
From the reviews: "... In sum, the volume under review is the first quarter of an important work that surveys an active branch of modern mathematics. Some of the individual articles are reminiscent in style of the early volumes of the first Ergebnisse series and will probably prove to be equally useful as a reference; ...for the appropriate reader, they will be valuable sources of information about modern complex analysis." Bulletin of the Am.Math.Society, 1991 "... This remarkable book has a helpfully informal style, abundant motivation, outlined proofs followed by precise references, and an extensive bibliography; it will be an invaluable reference and a companion to modern courses on several complex variables." ZAMP, Zeitschrift für Angewandte Mathematik und Physik, 1990
Introduction To Complex Analysis
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Author : Junjiro Noguchi
language : en
Publisher: American Mathematical Soc.
Release Date : 2008-04-09
Introduction To Complex Analysis written by Junjiro Noguchi 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 2008-04-09 with Mathematics categories.
This book describes a classical introductory part of complex analysis for university students in the sciences and engineering and could serve as a text or reference book. It places emphasis on rigorous proofs, presenting the subject as a fundamental mathematical theory. The volume begins with a problem dealing with curves related to Cauchy's integral theorem. To deal with it rigorously, the author gives detailed descriptions of the homotopy of plane curves. Since the residue theorem is important in both pure and applied mathematics, the author gives a fairly detailed explanation of how to apply it to numerical calculations; this should be sufficient for those who are studying complex analysis as a tool.