Description
Book SynopsisComplex 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. This book offers a detailed presentation of elementary topics, to reflect the knowledge base of students.
Trade ReviewReview 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 *
Table of ContentsComplex 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
