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020 _a9780821891797
082 _a515.9 NEV
100 _aRolf Nevanlinna
100 _a V Paatero
245 _aIntroduction to Complex Analysis
_c/Rolf Nevanlinna & V Paatero
250 _a2nd ed.
260 _aProvidence, Rhode Island .
_b : AMS Chelsea Pub./American Mathematical Society,
_c;2007
300 _aix, 350 pages
_b: illustrations
_c ; 26 cm
505 _aThe 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.
520 _aThe 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
650 _aMathematics
650 _aFunctions of complex variables.
650 _aLinear Transformations
650 _aConformal Mapping
700 _aRolf Nevanlinna;
942 _cMDL
999 _c50386
_d50386