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Abrégé de mathématiques du lycée: (pour lycéens, étudiants et enseignants)

Abrégé de mathématiques du lycée: (pour lycéens, étudiants et enseignants)

          
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About the Book

À qui s'adresse ce livre ?

Vous cherchez un exposé clair et complet de toutes les notions mathématiques enseignées au lycée. Vous voulez vous préparer aux études supérieures et maîtriser et comprendre les démonstrations. Vous souhaitez compléter votre culture mathématique et mieux connaître le contexte historique des découvertes mathématiques. Vous aimez avoir des exemples et des anecdotes. Ce livre est fait pour vous.

Ce que vous y trouverez
  • Une vue d'ensemble et complète des savoirs mathématiques aux programmes des lycées (de la classe de seconde jusqu'à la terminale), toutes filières et spécialités confondues.

  • Trente-six chapitres conçus comme des leçons complètes qui abordent, dans le détail, la logique, l'arithmétique, l'algèbre, la géométrie, la trigonométrie, l'analyse, les probabilités, la statistique, l'algorithmique.

  • Les démonstrations de toutes les propriétés énoncées sans faire appel aux notions seulement abordées dans l'enseignement supérieur (généralement admises dans les cours traditionnels du lycée).

  • Un exposé chronologique et logique, situant les concepts dans leurs contextes historiques, précédé d 'une introduction sur les relations entre mathématiques et société, et qui montre que, des calculi à l'intelligence artificielle, d'Euclide à Dijkstra, les connaissances mathématiques enseignées au lycée ont été acquises par plus de six mille ans d'histoire des civilisations.

  • Un ouvrage de synthèse qui explique comment la pensée mathématique a évolué au fil des découvertes des grands théorèmes et des concepts qui ont jalonné sa progression: entiers, nombres premiers, réels, imaginaires, polynômes, fonctions, suites, coordonnées, équations différentielles, matrices, graphes ... Tout y est.

Un manuel de référence

Destiné à un large public désireux de s'instruire, ce manuel convient particulièrement aux élèves du lycée (de la seconde à la terminale), aux étudiants de premières années universitaires et CPGE, et aux enseignants qui souhaitent agrémenter leurs cours. Il ne propose pas d'exercices, mais donne de nombreux exemples et des anecdotes qui permettent de bien assimiler les concepts.

  • Au lycée, il vous accompagnera en support aux cours de la seconde à la terminale.

  • À l'université ou en CPGE, comme un memento, il vous permettra de revoir les bases essentielles et d'aborder sereinement l'enseignement supérieur.

  • Au delà des études, il vous aidera à rafraîchir vos connaissances et, si vous êtes parent, à mieux préparer vos enfants.

Ce manuel vous accompagne quel que soit votre cursus.

Sommaire
  • Première partie: Mathématiques et société

    Quelques questions sur les mathématiques
    Une brève histoire des mathématiques

  • Deuxième partie: Connaissances mathématiques de base
    Langage et raisonnement
    Systèmes de numération
    Nombres
    Les 4 opérations
    Congruences et divisibilité
    Géométrie élémentaire
    Mesure des angles et existence de pi
    Quelques constructions géométriques
    Cercle trigonométrique
    Vecteurs
    Repères cartésiens
    Equations algébriques
    Equations du second degré
    Première approche des courbes planes
    Coniques
    Relations, ensembles et éléments de combinatoire
    Des courbes planes aux fonctions
    Suites
    Convergences des suites
    Limites des fonctions
    Fonctions continues
    Exponentielles et logarithmes
    Dérivation
    Etude des variations des fonctions
    Intégration des fonctions
    Primitives
    Le théorème fondamental de l'analyse
    Complément sur les intégrales et les dérivées
    Equations différentielles
    Découverte des nombres imaginaires
    No


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Product Details
  • ISBN-13: 9782954915142
  • Publisher: Amazon Digital Services LLC - Kdp
  • Publisher Imprint: Florin (Franck)
  • Height: 229 mm
  • No of Pages: 688
  • Spine Width: 35 mm
  • Weight: 901 gr
  • ISBN-10: 2954915145
  • Publisher Date: 17 Aug 2023
  • Binding: Paperback
  • Language: French
  • Returnable: N
  • Sub Title: (pour lycéens, étudiants et enseignants)
  • Width: 152 mm

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