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Mathématiques Appliquées Avancées: Analyse numérique, algèbre linéaire, intégration, probabilités et systèmes dynamiques

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Description

Mathématiques Appliquées Avancées est un manuel conçu pour les étudiants de deuxième année de licence en mathématiques ou mathématiques appliquées. Il propose un parcours approfondi et structuré, alliant rigueur théorique et applications concrètes, avec de nombreux exemples, exercices progressifs et simulations en Python. L'ouvrage couvre un large spectre : Analyse : compléments sur les suites et séries numériques, développements limités, intégrales (Riemann, impropres), critères de convergence. Algèbre linéaire : espaces vectoriels, applications linéaires, réduction des matrices, diagonalisation, calcul de puissances. Applications de l'algèbre linéaire : suites récurrentes linéaires, chaînes de Markov, systèmes différentiels linéaires. Probabilités et statistique : couples de variables aléatoires discrètes, lois à densité (uniforme, exponentielle, normale), théorème central limite, convergence en loi, estimation. Ouverture vers l'informatique : manipulation de bases de données relationnelles et initiation au langage SQL à travers une étude de cas issue des Panama Papers. Chaque chapitre est conçu comme une unité pédagogique complète, avec des démonstrations détaillées, des exemples soigneusement choisis et des exercices de difficulté graduée. Les simulations Python (disponibles dans l'ouvrage) permettent de visualiser les concepts, de tester des conjectures et de se familiariser avec le calcul numérique moderne. Cet ouvrage s'adresse aux étudiants souhaitant acquérir une maîtrise autonome des outils mathématiques indispensables pour les sciences appliquées, l'ingénierie et l'informatique quantitative. Il constitue également une ressource précieuse pour les enseignants et les autodidactes.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
02 March 2026
Listed Since
04 March 2026

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