From real to abstract analysis: the development of structuralist praxeologies in the analysis path
Résumé
This article is a continuation of Winsløw’s work on the concrete to abstract transition in analysis and Hausberger’s work on structuralist praxeologies, developed in the paradigmatic context of abstract algebra. It aims at giving a foundation to the notion of structuralist praxeology in analysis. After a brief epistemological study of abstract analysis, we discuss the praxeological analyses of excerpts from a real and abstract analysis textbook used in the transition between Bachelor and Master degree programs in mathematics.
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