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Lectures on Numerical Methods in Bifurcation Problems
Methods for Finding Zeros in Polynomials
Lectures on Stochastic Flows and Applications
Educational Psychology by Edward L. Thorndike
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Linear Algebra: Theorems and Applications
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A Short Biographical Dictionary of English Literature
Lectures on Sieve Methods and Prime Number Theory
Dollars and Sense by William Crosbie Hunter
The Theory of the Theatre by Clayton Hamilton
The Mathematics of Investment
Occupiers of Wall Street: Losers or Game Changers
The Solution of the Pyramid Problem
Lectures on Moduli of Curves
Walden by Henry David Thoreau
Methods for Finding Zeros in Polynomials
Lectures on Stochastic Flows and Applications
Educational Psychology by Edward L. Thorndike
The Last Days of Tolstoy by V. G. Chertkov
Globalization and Responsibility
Lectures on Siegel Modular Forms and Representation by Quadratic Forms
Lectures on Topics In One-Parameter Bifurcation Problems
History of the Incas by Pedro Sarmiento de Gamboa
Linear Algebra: Theorems and Applications
Lectures on Stochastic Differential Equations and Malliavin Calculus
A Short Biographical Dictionary of English Literature
Lectures on Sieve Methods and Prime Number Theory
Dollars and Sense by William Crosbie Hunter
The Theory of the Theatre by Clayton Hamilton
The Mathematics of Investment
Occupiers of Wall Street: Losers or Game Changers
The Solution of the Pyramid Problem
Lectures on Moduli of Curves
Walden by Henry David Thoreau
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Théorie élémentaire des fonctions analytiques. D'une ou plusieurs variables complexes - Deuxième cycle
Posted on 2010-04-14
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More Voici un ouvrage qui ne s'est pas démodé. L'auteur, Henri Cartan, qui fut professeur à l'université de Paris, a fortement marqué les mathématiques du XXe siècle. Ce livre reprend un de ses cours de licence. Consacré principalement à l'étude des fonctions analytiques d'une variable complexe (fonctions holomorphes, formule intégrale de Cauchy, théorème de Morera, développement en séries de Laurent et en séries entières, théorème des résidus, suites de fonctions holomorphes et méromorphes, séries, produits infinis, transformations holomorphes, représentation conforme...), il aborde néanmoins le cas d'une ou plusieurs variables réelles ou complexes, ce qui lui permet de parler des systèmes différentiels holomorphes au dernier chapitre. Des exemples classiques ou significatifs sont entièrement traités (l'étude de la fonction de Weierstrass ou encore le calcul d'intégrales à l'aide du théorème des résidus à travers plusieurs cas concrets) et des exercices viennent compléter chaque chapitre. Ce cours de licence pourra aussi intéresser les agrégatifs.
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