| Reviews |
| Review(s) 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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| Description | | - 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.
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Readership: Undergraduates in mathematics, engineering and physics; their lecturers and teachers; all those whose work involves the application of complex analysis.
| 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
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| Authors, editors,
and contributors | H. A. Priestley, Reader in Mathematics, Mathematical Institute, Oxford, and Fellow and Tutor in Mathematics, St Anne's College
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