01620nam a22002537a 4500 20181113152445.0 181113b xxu||||| |||| 00| 0 eng d 9780821891797 515.9 NEV Rolf Nevanlinna V Paatero Introduction to Complex Analysis /Rolf Nevanlinna & V Paatero 2nd ed. Providence, Rhode Island . : AMS Chelsea Pub./American Mathematical Society, ;2007 ix, 350 pages : illustrations ; 26 cm The concept of an analytic function General properties of rational functions Linear transformations Mapping by rational functions of second order The exponential function and its inverse. The general power The trigonometric functions Infinite series with complex terms Integration in the complex domain. Cauchy's theorem Cauchy's integral formula and its applications The residue theorem and its applications Harmonic functions Analytic continuation Entire functions Periodic functions The Euler $\Gamma$-function The Riemann $\zeta$-function The theory of conformal mapping Index. The authors present topics usually treated in a complex analysis course, starting with basic notions (rational functions, linear transformations, analytic function), and culminating in the discussion of conformal mappings, including the Riemann mapping theorem and the Picard theorem Mathematics Functions of complex variables. Linear Transformations Conformal Mapping Rolf Nevanlinna; MDL 50386 50386 0 0 ddc 0 0 MDL SNUL 2018-11-13 0 515.9 NEV M019 2018-11-13 00:00:00 2018-11-13 MDL