Compelx analysis an introduction to the theory of analytic functions of one complex variable / Lars V. Ahlfors
By: Ahlfors, Lars V [autor]
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Tokyo : McGraw Hill Kogakusha, 1966Edition: 2 edicion.Description: 317 paginas. ; 21 cm.Subject(s): Matematicas | Analisis funcionalDDC classification: 517.8 / | Item type | Current location | Collection | Call number | Vol info | Copy number | Status | Notes | Date due | Barcode | Item holds |
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Libros
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Biblioteca Central Book Cart | General | 517.8 / A285c (Browse shelf) | 8001 | 1 | Available | CO | 8010005276 | ||
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Libros
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Biblioteca Central Book Cart | General | 517.8 / A285c (Browse shelf) | 8001 | 2 | Available | CO | 8010005277 |
Complex 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 --
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