Lebossé C., Hémery C.'s Algèbre et Analyse. Classes Terminales C, D et T PDF

By Lebossé C., Hémery C.

Cours conforme aux programmes du eight juin 1966.

Table des matières :

Livre I : Ensembles fondamentaux

Leçon 1 — Ensembles — functions et fonctions — ameliorations ponctuelles
Leçon 2 — Lois de composition — constructions algébriques
Leçon three — L’ensemble N des entiers naturels — examine combinatoire
Leçon four — L’anneau Z des entiers relatifs
    Addition et soustraction
    Multiplication et division
Leçon five — Le corps Q des nombres rationnels
    Opérations sur les rationnels
Leçon 6 — Le corps R des nombres réels
    Le corps R des nombres réels
    Racines
    Interprétation géométrique des réels
Leçon 7 — Le corps C des nombres complexes
    Interprétation géométrique
    Puissances et racines
Leçon eight — functions trigonométriques de C — Équations du moment degré dans C — purposes géométriques

Livre II : Arithmétique

Leçon nine — Congruences dans Z — department euclidienne dans N
Leçon 10 — Plus grand commun diviseur — Plus petit commun multiple
Leçon eleven — Nombres premiers — purposes aux fractions
Leçon 12 — Numération — Nombres décimaux

Livre III : Étude des fonctions

Leçon thirteen — Fonctions d’une variable réelle — Limites — Formes indéterminées — Fonctions continues
Leçon 14 — Dérivées — Calcul des dérivées — Dérivées successives
Leçon 15 — version des fonctions — Courbes d’équation y = f(x) — Fonctions : y = ax² + bx + c, fonction homographique, y = ax³ + bx² + cx + d; y = ax⁴ + bx² + c
Leçon sixteen — Fonctions : y = (ax² + bx + c)/(a’x + b’), y = (ax² + bx + c)/(a’x² + b’x + c’) — Fonctions irrationnelles — Fonctions diverses
Leçon 17 — Fonctions primitives — Interprétation et purposes des primitives
Leçon 18 — Calcul de volumes
Leçon 19 — Suites de nombres réels — Progressions arithmétiques — Progressions géométriques
Leçon 20 — Fonction logarithme népérien — Logarithmes base a — Logarithmes décimaux
Leçon 21 — Fonctions exponentielles — Fonctions e^x et e^(−x) — Fonction a^x — Applications

Livre IV : Applications

Leçon 22 — Équations différentielles — Fonctions vectorielles
Leçon 23 — Calcul numérique — Tables numériques
Leçon 24 — Règle à calcul

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Algèbre et Analyse. Classes Terminales C, D et T by Lebossé C., Hémery C.


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