Introduction to Complex Analysis

Author: H. A. Priestley
Publisher: OUP Oxford
ISBN: 0191037206
Category : Mathematics
Languages : en
Pages : 344

Book Description
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.

An Introduction to Complex Analysis

Author: Ravi P. Agarwal
Publisher: Springer Science & Business Media
ISBN: 146140195X
Category : Mathematics
Languages : en
Pages : 345

Book Description
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

Author: Richard A. Silverman
Publisher: Courier Corporation
ISBN: 0486318524
Category : Mathematics
Languages : en
Pages : 402

Book Description
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.

An Introduction to Complex Analysis and Geometry

Author: John P. D'Angelo
Publisher: American Mathematical Soc.
ISBN: 0821852744
Category : Functions of complex variables
Languages : en
Pages : 177

Book Description
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.

Introduction to Complex Analysis

Author: Junjiro Noguchi
Publisher: American Mathematical Soc.
ISBN: 9780821889602
Category : Mathematics
Languages : en
Pages : 268

Book Description
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

Author: Michael Taylor
Publisher:
ISBN: 9781502876447
Category :
Languages : en
Pages : 270

Book Description
Introduction to Complex AnalysisBy Michael Taylor

Introduction to Complex Analysis

Author: Rolf Herman Nevanlinna
Publisher: American Mathematical Soc.
ISBN: 9780821874332
Category : Mathematics
Languages : en
Pages : 376

Book Description
The authors present topics usually treated in a complex analysis course, starting with basic notions (rational functions, linear transformations, analytic function), and culminating in the discussion of conformal mappings, including the Riemann mapping theorem and the Picard theorem.

An Introduction to Complex Analysis and the Laplace Transform

Author: Vladimir Eiderman
Publisher: CRC Press
ISBN: 100051112X
Category : Mathematics
Languages : en
Pages : 383

Book Description
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

Author: L. Hormander
Publisher: Elsevier
ISBN: 0444105239
Category : Mathematics
Languages : en
Pages : 227

Book Description
An Introduction to Complex Analysis in Several Variables

Complex Analysis

Author: Theodore W. Gamelin
Publisher: Springer Science & Business Media
ISBN: 0387216073
Category : Mathematics
Languages : en
Pages : 508

Book Description
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.