Introduction to Complex Analysis

Paperback | September 12, 2003

byH. A. Priestley

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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 considerablyexpanded, 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, Jordanand 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.

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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 considerablyexpanded, while retaining the style of the ...

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

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Format:PaperbackDimensions:344 pages, 9.21 × 6.14 × 0.67 inPublished:September 12, 2003Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198525621

ISBN - 13:9780198525622

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Table of Contents

Complex numbersGeometry in the complex planeTopology and analysis in the complex planeHolomorphic functionsComplex series and power seriesA menagerie of holomorphic functionsPathsMultifunctions: basic trackConformal mappingCauchy's theorem: basic trackCauchy's theorem: advanced trackCauchy's formulaePower series representationZeros of holomorphic functionsFurther theory of holomorphic functionsSingularitiesCauchy's residue theoremContour integration: a technical toolkitApplications of contour integrationThe Laplace transformThe Fourier transformHarmonic functions and holomorphic functionsBibliographyNotation indexIndex

Editorial Reviews

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