@book {MATHEDUC.06213222,
author = {Sondaz, Daniel},
title = {Differentiable functions. L3, Masters, CAPES, Agregation. (Fonctions diff\'erentiables. L3, Masters, CAPES, Agr\'egation.)},
year = {2013},
isbn = {978-2-36493-075-9},
pages = {iv, 146~p.},
publisher = {Toulouse: C\'epadu\`es-\'Editions},
abstract = {This work is an introductory course on differential calculus in vector spaces. The following subjects are presented: 1. Introduction: Normed spaces, linear (multilinear) continuous applications, canonic isomorphisms, series in Banach algebras; 2. Differentiable applications: linearity, composition of differentiable applications, Leibniz formula, partial derivatives, derivatives of higher order. 3. Mean value theorems: Rolle's theorem, the fundamental theorem of integral calculus. 4. Sequences and series of differentiable applications, Schwarz' theorem. There is a set of exercises at the end of each chapter.},
reviewer = {Cristinel Mortici (T\^argovi\c{s}te)},
msc2010 = {I45xx (I65xx I55xx)},
identifier = {2014b.00704},
}