Complex analysis /

By: Stein, Elias MContributor(s): Shakarchi, RamiMaterial type: TextTextPublication details: Princeton, N.J. : Princeton University Press, 2003Description: xvii, 379 p. : illISBN: 9780691113852; 0691113858Subject(s): Functions of complex variables | Mathematical analysisDDC classification: 515 Online resources: Click here to access online | Click here to access online | Click here to access online
Contents:
1. Preliminaries to complex analysis -- 2. Cauchy's theorem and its applications -- 3. Meromorphic functions and the logarithm -- 4. The Fourier transform -- 5. Entire functions -- 6. The gamma and zeta functions -- 7. The zeta function and prime number theorem -- 8. Conformal mappings -- 9. An introduction to elliptic functions -- 10. Applications of theta functions -- Appendix A. Asymptotics -- Appendix B. Simple connectivity and Jordan curve theorem.
Summary: Intended for the students of mathematics, physics, engineering and other sciences, this second volume, in a three-part introduction to the subject, introduces the core areas of mathematical analysis while also illustrating the organic unity between them. It includes numerous examples and applications
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Reference 515 STE (Browse shelf(Opens below)) Available 015795
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1. Preliminaries to complex analysis --
2. Cauchy's theorem and its applications --
3. Meromorphic functions and the logarithm --
4. The Fourier transform --
5. Entire functions --
6. The gamma and zeta functions --
7. The zeta function and prime number theorem --
8. Conformal mappings --
9. An introduction to elliptic functions --
10. Applications of theta functions --
Appendix A. Asymptotics --
Appendix B. Simple connectivity and Jordan curve theorem.

Intended for the students of mathematics, physics, engineering and other sciences, this second volume, in a three-part introduction to the subject, introduces the core areas of mathematical analysis while also illustrating the organic unity between them. It includes numerous examples and applications

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