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Fondements de l'Analyse Mathématique: Comprendre les nombres réels, les suites et les démonstrations en calcul différentiel
Paperback
Publisher: Independently Published
Published: Jul 2 2026
Pages: 164
Weight: 0.50
Height: 0.35 Width: 6.00 Depth: 9.00
Language: French
L'analyse mathématique a la réputation d'être la discipline où le calcul cesse d'être intuitif et commence à exiger des démonstrations. Cet ouvrage s'adresse aux lecteurs qui souhaitent franchir ce cap sans se perdre en chemin.
Partant du système des nombres réels lui-même, *Fundamentals of Mathematical Analysis* construit chaque concept à partir de zéro: logique et techniques de démonstration, axiome de complétude, suites et séries, limites et continuité, dérivation et intégration, le tout développé avec une rigueur absolue et expliqué dans un langage clair et patient, loin du jargon laconique des manuels scolaires.
Chaque théorème est accompagné d'une démonstration complète. Chaque démonstration est décomposée en étapes qu'un autodidacte peut réellement suivre. Les exercices à la fin de chaque chapitre vont des vérifications de routine à de véritables exercices de rédaction de démonstrations.
Que vous soyez un étudiant souhaitant compléter un cours universitaire ou que vous vous remettiez aux mathématiques par vous-même, cet ouvrage a été écrit pour que l'analyse rigoureuse prenne enfin tout son sens.
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