Function theory of one complex variable / Robert E. Greene, Steven G. Krantz

Format:

Book

Author/Creator:

Greene, Robert Everist, 1943-

Contributor:

Krantz, Steven G. (Steven George), 1951-

Series:

Graduate Studies in Mathematics, v. 40

Language:

English

Subjects (All):

Functions of complex variables.

Physical Description:

1 online resource (xix, 504 pages : illustrations)

Edition:

3rd edition

Place of Publication:

Providence, RI American Mathematical Society [2006]

System Details:

Mode of access : World Wide Web

Contents:

Chapter 1. Fundamental concepts Chapter 2. Complex line integrals Chapter 3. Applications of the Cauchy integral Chapter 4. Meromorphic functions and residues Chapter 5. The zeros of a holomorphic function Chapter 6. Holomorphic functions as geometric mappings Chapter 7. Harmonic functions Chapter 8. Infinite series and products Chapter 9. Applications of infinite sums and products Chapter 10. Analytic continuation Chapter 11. Topology Chapter 12. Rational approximation theory Chapter 13. Special classes of holomorphic functions Chapter 14. Hilbert spaces of holomorphic functions, the Bergman kernel, and biholomorphic mappings Chapter 15. Special functions Chapter 16. The prime number theorem Appendix A. Real analysis Appendix B. The statement and proof of Goursat's theorem

Notes:

Includes bibliographical references (pages 497-499) and index

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record

Other Format:

Print version: Greene, Robert Everist, 1943- Function theory of one complex variable /

ISBN:

9781470411480

Access Restriction:

Restricted for use by site license