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040 _aCO-NeUS
_beng
_erda
100 1 _aAhlfors, Lars V.
_926265
_eautor
245 1 0 _aCompelx analysis an introduction to the theory of analytic functions of one complex variable /
_cLars V. Ahlfors
250 _a2 edicion.
264 _aTokyo :
_b McGraw Hill Kogakusha,
_c1966
300 _a317 paginas. ; 21 cm.
505 0 0 _aComplex numbers -- The algebra of complex numbers -- The geometric representation of complex numbers --Complex functions -- Introduction to the concept of analytic function -- Elementary theory of power series --The exponential and trigonometric functions -- Analytic functions as mappings -- Elementary poinbt set topology -- Conformality -- Linear transformations -- Elementary conformal mappings -- Complex integration -Fundamental theorems -- Cauchy´s integral formula -- Local properties and analytic functions -- The general form of Cauchy´s theorem -- The calculus of residues -- Harmonic functions -- Series and product -- Power series expansions -- Partial fractions and factorization -- normal families -- Conformal mapping. Dirichlet´s problem -- The riemann mapping theorem -- Conformal mapping of polygons -- A closer look at harmonic functions -- Canonical mappings of multiply connected regions -- Elliptic functions -- Simply periodic functions -- Doubly periodic functions -- The weierstrass theory -- Global analytic functions -Analytic continuation -- Algebraic functions -- Picard´s theorem -- Linear differential equations --
082 0 4 _221
_a517.8 /
_bA285c
650 1 4 _aMatematicas
_9115749
650 1 4 _aAnalisis funcional
_9100303
942 _2ddc
_cCG
_h517.8 /
_kA285c