Synopses & Reviews
Complex analysis is a classic and central area of mathematics, which is studies 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.
Review
"Review from previous edition Priestley's book is an unqualified success."--THES
"The conciseness of the text is one of its many good features"--Chris Ridler-Rowe, Imperial College
"The conciseness of the text is one of its many good features"--Chris Ridler-Rowe, Imperial College
Review
"Review from previous edition Priestley's book is an unqualified success."--THES
"The conciseness of the text is one of its many good features"--Chris Ridler-Rowe, Imperial College
"The conciseness of the text is one of its many good features"--Chris Ridler-Rowe, Imperial College
Synopsis
Straightforward in concise, this introductory volume treats the theory rigorously but uses a minimum of sophisticated machinery and assumes no prior knowledge of topology. Priestley presents the major theorems as early as possible, so that those meeting complex analysis for the first time can appreciate the power and elegance of the subject by seeing applications of results, both practical and theoretical. A valuable resource for pure and applied mathematicians, this book is also suitable for graduate students and, as a reference, for engineers.
Synopsis
Includes bibliographical references (p. [319]-320) and indexes.
Synopsis
Straightforward in concise, this introductory volume treats the theory rigorously but uses a minimum of sophisticated machinery and assumes no prior knowledge of topology. Priestley presents the major theorems as early as possible, so that those meeting complex analysis for the first time can appreciate the power and elegance of the subject by seeing applications of results, both practical and theoretical. A valuable resource for pure and applied mathematicians, this book is also suitable for graduate students and, as a reference, for engineers.
Synopsis
This book presents a straightforward and concise introduction to elementary complex analysis. The emphasis is on those aspects of the theory that are important in other branches of mathematics, and no prior knowledge of topology is assumed. Basic techniques are explained and the major theorems are presented, helping readers to gain an understanding of the theoretical as well as practical applications. In addition, this revised edition includes many exercises that will aid undergraduates wishing to gain a firm understanding of the subject.
Table of Contents
Complex numbers
Geometry in the complex plane
Topology and analysis in the complex plane
Holomorphic functions
Complex series and power series
A menagerie of holomorphic functions
Paths
Multifunctions: basic track
Conformal mapping
Cauchy's theorem: basic track
Cauchy's theorem: advanced track
Cauchy's formulae
Power series representation
Zeros of holomorphic functions
Further theory of holomorphic functions
Singularities
Cauchy's residue theorem
Contour integration: a technical toolkit
Applications of contour integration
The Laplace transform
The Fourier transform
Harmonic functions and holomorphic functions
Bibliography
Notation index
Index