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Introduction to Complex Analysis

Second Edition

H. A. Priestley

28 August 2003

ISBN: 9780198525622

344 pages
Paperback
234x156mm

In Stock

Price: £36.99

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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.

  • Best-selling text in its field
  • Substantially expanded introductory chapters
  • Contains carefully graded exercies and worked examples
  • Based on over 17 years of teaching experience

New to this edition

  • Exercise sets have been substantially revised and enlarged
  • More detailed presentation is given of elementary topics, to reflect the knowledge base of current students.
  • Carefully graded exercises at the end of each chapter.

About the Author(s)

H. A. Priestley, Reader in Mathematics, Mathematical Institute, Oxford, and Fellow and Tutor in Mathematics at St Anne's College

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

Reviews

Review from previous edition Priestley's book is an unqualified success. - THES

[This] is THE undergraduate textbook on the subject. - Peter Cameron, QMW

The conciseness of the text is one of its many good features - Chris Ridler-Rowe, Imperial College

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