Title: Applied functional analysis
Description: This book explores the background of a major intellectual revolution: the rigorous reinterpretation of the calculus undertaken by Augustin-Louis Cauchy and his contemporaries in the first part of the 19th century. Their generation changed the calculus from a method of solving problems to a collection of theorems, based on precise definitions, about limits, continuity, series, derivatives, and integrals. The book shows how Cauchy reshaped inherited 18th-century concepts to create an approach to rigor that we still accept today. In so doing, The Origins of Cauchy's Rigorous Calculus provides fresh insights and a new perspective on the foundations of analysis.
Subjects: Functional analysis, Hilbert space, Mathematical optimization, Calculus, History, Espace de Hilbert, Optimisation mathématique, 31.46 functional analysis, Funktionalanalysis, Functionaalanalyse, Hilbertruimten, Systeemanalyse, Toepassingen, OPTIMIZATION, Espaces de Hilbert, Analyse fonctionnelle