Ahlfors, Lars V.
Compelx analysis an introduction to the theory of analytic functions of one complex variable / Lars V. Ahlfors - 2 edicion. - 317 paginas. ; 21 cm.
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 --
Matematicas
Analisis funcional
517.8 / / A285c
Compelx analysis an introduction to the theory of analytic functions of one complex variable / Lars V. Ahlfors - 2 edicion. - 317 paginas. ; 21 cm.
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 --
Matematicas
Analisis funcional
517.8 / / A285c