Introduction To Complex Analysis

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An Introduction to Complex Analysis

Ravi P. Agarwal,Kanishka Perera,Sandra Pinelas
An Introduction to Complex Analysis Book PDF

Author : Ravi P. Agarwal,Kanishka Perera,Sandra Pinelas
Publisher : Springer Science & Business Media
Page : 345 pages
File Size : 41,6 Mb
Release : 2011-07-01
Category : Mathematics
ISBN : 9781461401957

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An Introduction to Complex Analysis by Ravi P. Agarwal,Kanishka Perera,Sandra Pinelas Pdf

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.

Introduction to Complex Analysis

H. A. Priestley
Introduction to Complex Analysis Book PDF

Author : H. A. Priestley
Publisher : OUP Oxford
Page : 344 pages
File Size : 55,8 Mb
Release : 2003-08-28
Category : Mathematics
ISBN : 9780191037207

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Introduction to Complex Analysis by H. A. Priestley Pdf

Complex analysis is a classic and central area of mathematics, which is studied and exploited in a range of important fields, from number theory to engineering. Introduction to Complex Analysis was first published in 1985, and for this much awaited second edition the text has been considerably expanded, while retaining the style of the original. More detailed presentation is given of elementary topics, to reflect the knowledge base of current students. Exercise sets have been substantially revised and enlarged, with carefully graded exercises at the end of each chapter. This is the latest addition to the growing list of Oxford undergraduate textbooks in mathematics, which includes: Biggs: Discrete Mathematics 2nd Edition, Cameron: Introduction to Algebra, Needham: Visual Complex Analysis, Kaye and Wilson: Linear Algebra, Acheson: Elementary Fluid Dynamics, Jordan and Smith: Nonlinear Ordinary Differential Equations, Smith: Numerical Solution of Partial Differential Equations, Wilson: Graphs, Colourings and the Four-Colour Theorem, Bishop: Neural Networks for Pattern Recognition, Gelman and Nolan: Teaching Statistics.

Introductory Complex Analysis

Richard A. Silverman
Introductory Complex Analysis Book PDF

Author : Richard A. Silverman
Publisher : Courier Corporation
Page : 402 pages
File Size : 49,6 Mb
Release : 2013-04-15
Category : Mathematics
ISBN : 9780486318523

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Introductory Complex Analysis by Richard A. Silverman Pdf

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.

Introduction to Complex Analysis

Michael Taylor
Introduction to Complex Analysis Book PDF

Author : Michael Taylor
Publisher : Unknown
Page : 270 pages
File Size : 50,5 Mb
Release : 2014-10-18
Category : Electronic
ISBN : 1502876442

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Introduction to Complex Analysis by Michael Taylor Pdf

Introduction to Complex AnalysisBy Michael Taylor

Introduction to Complex Analysis

Junjiro Noguchi
Introduction to Complex Analysis Book PDF

Author : Junjiro Noguchi
Publisher : American Mathematical Soc.
Page : 268 pages
File Size : 49,9 Mb
Release : 2008-04-09
Category : Mathematics
ISBN : 0821889605

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Introduction to Complex Analysis by Junjiro Noguchi Pdf

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.

Introduction to Complex Analysis

Rolf Nevanlinna,Veikko Paatero
Introduction to Complex Analysis Book PDF

Author : Rolf Nevanlinna,Veikko Paatero
Publisher : American Mathematical Society
Page : 366 pages
File Size : 43,8 Mb
Release : 2007-10-09
Category : Mathematics
ISBN : 9780821843994

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Introduction to Complex Analysis by Rolf Nevanlinna,Veikko Paatero Pdf

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.

An Introduction to Complex Analysis and Geometry

John P. D'Angelo
An Introduction to Complex Analysis and Geometry Book PDF

Author : John P. D'Angelo
Publisher : American Mathematical Soc.
Page : 177 pages
File Size : 55,9 Mb
Release : 2010
Category : Functions of complex variables
ISBN : 9780821852743

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An Introduction to Complex Analysis and Geometry by John P. D'Angelo Pdf

Provides the reader with a deep appreciation of complex analysis and how this subject fits into mathematics. The first four chapters provide an introduction to complex analysis with many elementary and unusual applications. Chapters 5 to 7 develop the Cauchy theory and include some striking applications to calculus. Chapter 8 glimpses several appealing topics, simultaneously unifying the book and opening the door to further study.

An Introduction to Complex Analysis and the Laplace Transform

Vladimir Eiderman
An Introduction to Complex Analysis and the Laplace Transform Book PDF

Author : Vladimir Eiderman
Publisher : CRC Press
Page : 383 pages
File Size : 45,9 Mb
Release : 2021-12-20
Category : Mathematics
ISBN : 9781000511123

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An Introduction to Complex Analysis and the Laplace Transform by Vladimir Eiderman Pdf

The aim of this comparatively short textbook is a sufficiently full exposition of the fundamentals of the theory of functions of a complex variable to prepare the student for various applications. Several important applications in physics and engineering are considered in the book. This thorough presentation includes all theorems (with a few exceptions) presented with proofs. No previous exposure to complex numbers is assumed. The textbook can be used in one-semester or two-semester courses. In one respect this book is larger than usual, namely in the number of detailed solutions of typical problems. This, together with various problems, makes the book useful both for self- study and for the instructor as well. A specific point of the book is the inclusion of the Laplace transform. These two topics are closely related. Concepts in complex analysis are needed to formulate and prove basic theorems in Laplace transforms, such as the inverse Laplace transform formula. Methods of complex analysis provide solutions for problems involving Laplace transforms. Complex numbers lend clarity and completion to some areas of classical analysis. These numbers found important applications not only in the mathematical theory, but in the mathematical descriptions of processes in physics and engineering.

An Introduction to Complex Analysis in Several Variables

L. Hormander
An Introduction to Complex Analysis in Several Variables Book PDF

Author : L. Hormander
Publisher : Elsevier
Page : 227 pages
File Size : 41,8 Mb
Release : 1973-02-12
Category : Mathematics
ISBN : 9780444105233

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An Introduction to Complex Analysis in Several Variables by L. Hormander Pdf

An Introduction to Complex Analysis in Several Variables

Complex Analysis

Theodore W. Gamelin
Complex Analysis Book PDF

Author : Theodore W. Gamelin
Publisher : Springer Science & Business Media
Page : 508 pages
File Size : 49,7 Mb
Release : 2013-11-01
Category : Mathematics
ISBN : 9780387216072

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Complex Analysis by Theodore W. Gamelin Pdf

An introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic. Throughout, exercises range from the very simple to the challenging. The book is based on lectures given by the author at several universities, including UCLA, Brown University, La Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain.

Introduction to Complex Analysis in Several Variables

Volker Scheidemann
Introduction to Complex Analysis in Several Variables Book PDF

Author : Volker Scheidemann
Publisher : Springer Nature
Page : 239 pages
File Size : 51,6 Mb
Release : 2023
Category : Functions of complex variables
ISBN : 9783031264283

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Introduction to Complex Analysis in Several Variables by Volker Scheidemann Pdf

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.

Visual Complex Analysis

Tristan Needham
Visual Complex Analysis Book PDF

Author : Tristan Needham
Publisher : Oxford University Press
Page : 620 pages
File Size : 46,5 Mb
Release : 1997
Category : Mathematics
ISBN : 0198534469

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Visual Complex Analysis by Tristan Needham Pdf

This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.

Complex Analysis

Elias M. Stein,Rami Shakarchi
Complex Analysis Book PDF

Author : Elias M. Stein,Rami Shakarchi
Publisher : Princeton University Press
Page : 398 pages
File Size : 41,6 Mb
Release : 2010-04-22
Category : Mathematics
ISBN : 9781400831159

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Complex Analysis by Elias M. Stein,Rami Shakarchi Pdf

With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument is complex. From there, one proceeds to the main properties of holomorphic functions, whose proofs are generally short and quite illuminating: the Cauchy theorems, residues, analytic continuation, the argument principle. With this background, the reader is ready to learn a wealth of additional material connecting the subject with other areas of mathematics: the Fourier transform treated by contour integration, the zeta function and the prime number theorem, and an introduction to elliptic functions culminating in their application to combinatorics and number theory. Thoroughly developing a subject with many ramifications, while striking a careful balance between conceptual insights and the technical underpinnings of rigorous analysis, Complex Analysis will be welcomed by students of mathematics, physics, engineering and other sciences. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Complex Analysis is the second, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.

An Introduction to Classical Complex Analysis

R.B. Burckel
An Introduction to Classical Complex Analysis Book PDF

Author : R.B. Burckel
Publisher : Birkhäuser
Page : 572 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034893749

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An Introduction to Classical Complex Analysis by R.B. Burckel Pdf

This book is an attempt to cover some of the salient features of classical, one variable complex function theory. The approach is analytic, as opposed to geometric, but the methods of all three of the principal schools (those of Cauchy, Riemann and Weierstrass) are developed and exploited. The book goes deeply into several topics (e.g. convergence theory and plane topology), more than is customary in introductory texts, and extensive chapter notes give the sources of the results, trace lines of subsequent development, make connections with other topics, and offer suggestions for further reading. These are keyed to a bibliography of over 1,300 books and papers, for each of which volume and page numbers of a review in one of the major reviewing journals is cited. These notes and bibliography should be of considerable value to the expert as well as to the novice. For the latter there are many references to such thoroughly accessible journals as the American Mathematical Monthly and L'Enseignement Mathématique. Moreover, the actual prerequisites for reading the book are quite modest; for example, the exposition assumes no prior knowledge of manifold theory, and continuity of the Riemann map on the boundary is treated without measure theory.

Complex Analysis

Eberhard Freitag,Rolf Busam
Complex Analysis Book PDF

Author : Eberhard Freitag,Rolf Busam
Publisher : Springer Science & Business Media
Page : 553 pages
File Size : 47,5 Mb
Release : 2006-01-17
Category : Mathematics
ISBN : 9783540308232

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Complex Analysis by Eberhard Freitag,Rolf Busam Pdf

All needed notions are developed within the book: with the exception of fundamentals which are presented in introductory lectures, no other knowledge is assumed Provides a more in-depth introduction to the subject than other existing books in this area Over 400 exercises including hints for solutions are included