TY - BOOK AU - Stein,Elias M. AU - Shakarchi,Rami TI - Complex analysis SN - 9780691113852 U1 - 515 PY - 2003/// CY - Princeton, N.J. PB - Princeton University Press KW - Functions of complex variables KW - Mathematical analysis N1 - 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 N2 - 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 UR - http://www.loc.gov/catdir/enhancements/fy0654/2005274996-d.html UR - http://www.loc.gov/catdir/enhancements/fy0654/2005274996-t.html UR - http://www.loc.gov/catdir/enhancements/fy0705/2005274996-b.html ER -