Introduction to complex analysis

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This second edition of Priestley's well-known text is aimed at students taking an introductory core course in Complex Analysis, a classical and central area of mathematics. Graded exercises are presented throughout the text along with worked examples on the more elementary topics.

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Title Statements

Full title :Introduction to complex analysis / H.A. Priestley.

Summary

Edition Statements

Publication Date:2003.
Edition:2nd ed

Publication Statements

Publisher(s):Oxford University Press
Place of Publication:Oxford
Language:eng
Publication Date:2003.

Notes

Previous edition: Oxford : Clarendon, 1990.

The Physical Object

Description:xii, 328 pages : : illustrations ; : 24 cm

Edition Identifiers

ISBN:0198525613, 9780198525615, 0198525621, 9780198525622
oclc:ocm51965018
LC Classification:QA331.7
Dewey Decimal:515.9

1. The complex plane -- 2. Geometry in the complex plane -- 3. Topology and analysis in the complex plane -- 4. Paths -- 5. Holomorphic functions -- 6. Complex series and power series -- 7. A cornucopia of holomorphic functions -- 8. Conformal mapping -- 9. Multifunctions -- 10. Integration in the complex plane -- 11. Cauchy's theorem: basic track -- 12. Cauchy's theorem: advanced track -- 13. Cauchy's formulae -- 14. Power series representation -- 15. Zeros of holomorphic functions -- 16. Holomorphic functions: further theory -- 17. Singularities -- 18. Cauchy's residue theorem -- 19. A technical toolkit for contour integration -- 20. Applications of contour integration -- 21. The Laplace transform -- 22. The Fourier transform -- 23. Harmonic functions and conformal mapping.

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