Bourbaki, N. Elements of mathematics. Functions of one real variable. Elementary theory. New edition, entirely revised and corrected by the author. (Éléments de mathématique. Fonctions d’une variable réelle. Théorie élémentaire. Nouvelle edition, entièrement revue et corrigée par l’auteur.) (French) Zbl 0346.26003 Paris: Herman. Pagination non continue. F 180.00 (1976). Reviewer: Jürgen Lorenz (Berlin) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 27 Documents MSC: 26-02 Research exposition (monographs, survey articles) pertaining to real functions 26A06 One-variable calculus 26A12 Rate of growth of functions, orders of infinity, slowly varying functions 26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable 26A24 Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems 26A42 Integrals of Riemann, Stieltjes and Lebesgue type 26A51 Convexity of real functions in one variable, generalizations 34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations 34A30 Linear ordinary differential equations and systems 46B03 Isomorphic theory (including renorming) of Banach spaces Citations:Zbl 0036.16801; Zbl 0042.09201; Zbl 0100.04201 PDFBibTeX XML