Author | Lang, Serge. author |
---|---|
Title | Complex Analysis [electronic resource] / by Serge Lang |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1999 |
Edition | Fourth Edition |
Connect to | http://dx.doi.org/10.1007/978-1-4757-3083-8 |
Descript | XIV, 489 p. 85 illus. online resource |
One Basic Theory -- I Complex Numbers and Functions -- II Power Series -- III Cauchyโs Theorem, First Part -- IV Winding Numbers and Cauchyโs Theorem -- V Applications of Cauchyโs integral Formula -- VI Calculus of Residues -- VII Conformal Mappings -- VIII Harmonic Functions -- Two Geometric Function Theory -- IX Schwarz Reflection -- X The Riemann Mapping Theorem -- XI Analytic Continuation Along Curves -- Three Various Analytic Topics -- XII Applications of the Maximum Modulus Principle and Jensenโs Formula -- XIII Entire and Meromorphic Functions -- XIV Elliptic Functions -- XV The Gamma and Zeta Functions -- XVI The Prime Number Theorem -- ยง1. Summation by Parts and Non-Absolute Convergence -- ยง2. Difference Equations -- ยง3. Analytic Differential Equations -- ยง4. Fixed Points of a Fractional Linear Transformation -- ยง6. Cauchyโs Theorem for Locally Integrable Vector Fields -- ยง7. More on Cauchy-Riemann