Exploratory examples for real analysis / Joanne E. Snow, Kirk E. WellerType de document : MonographieCollection : Classroom resource materialsLangue : anglais.Pays : Etats Unis.Éditeur : Washington : Mathematical Association of America, 2003Description : 1 vol. (139 p.) ; 27 cmISBN : 0883857340.Sujet MSC : 28-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to measure and integration
26-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to real functions
00A07, General and miscellaneous specific topics, Problem books
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This text develops 12 fundamental topics of real analysis in a format of exploratory exercises suitable for a laboratory component in a first (post-calculus) course. It is intended to be used as a supplement to a beginning real analysis text. The topics developed include boundedness of sets, convergence of sequences, lim sup and lim inf, continuity and limits of functions, and uniform convergence. Within each of the 12 chapters there are four to six sections of the type, Introduction, Using Examples to Enhance Understanding, Critical Thinking Questions, Equivalent Definitions, Questions for Reflection. The use of these laboratory exercises should be a valuable aid for students struggling with their first encounter with rigorous real analysis.