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Functions of complex variables --- Geometry, Hyperbolic

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Functions of complex variables --- Functions of complex variables. --- Complex variables --- Elliptic functions --- Functions of real variables

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The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level. The first half, more or less, can be used for a one-semester course addressed to undergraduates. The second half can be used for a second semester, at either level. Somewhat more material has been included than can be covered at leisure in one or two terms, to give opportunities for the instructor to exercise individual taste, and to lead the course in whatever directions strikes the instructor's fancy at the time as well as extra read­ ing material for students on their own. A large number of routine exer­ cises are included for the more standard portions, and a few harder exercises of striking theoretical interest are also included, but may be omitted in courses addressed to less advanced students. In some sense, I think the classical German prewar texts were the best (Hurwitz-Courant, Knopp, Bieberbach, etc. ) and I would recommend to anyone to look through them. More recent texts have emphasized connections with real analysis, which is important, but at the cost of exhibiting succinctly and clearly what is peculiar about complex analysis: the power series expansion, the uniqueness of analytic continuation, and the calculus of residues.

Functions of complex variables. --- Mathematical analysis. --- Functions of complex variables --- Fonctions d'une variable complexe. --- Analysis (Mathematics). --- Analysis. --- 517.1 Mathematical analysis --- Mathematical analysis --- Analyse mathématique.

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Functions, Orthogonal. --- Functions of complex variables. --- Functions, Orthogonal --- Functions of complex variables --- 517.518.8 --- Complex variables --- Elliptic functions --- Functions of real variables --- Orthogonal functions --- Fourier analysis --- Series, Orthogonal --- Approximation of functions by polynomials and their generalizations --- 517.518.8 Approximation of functions by polynomials and their generalizations --- Suites (mathématiques) --- Approximation rationnelle --- Fonctions speciales

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Numerical approximation theory --- Functional analysis --- Numerical analysis --- Functions of complex variables --- 517.518.8 --- 519.6 --- 681.3*G12 --- Approximation of functions by polynomials and their generalizations --- Computational mathematics. Numerical analysis. Computer programming --- Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- 681.3*G12 Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 517.518.8 Approximation of functions by polynomials and their generalizations --- Numerical analysis - Congresses --- Functions of complex variables - Congresses