Tension between Intuitive Infinitesimals and Formal Mathematical Analysis

M. Katz, D. Tall

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

Abstract: we discuss the repercussions of the development of infinitesimal
calculus into modern analysis, beginning with viewpoints expressed in the
nineteenth and twentieth centuries and relating them to the natural cognitive
development of mathematical thinking and imaginative visual interpretations
of axiomatic proof.
Original languageAmerican English
Title of host publicationCrossroads in the history of mathematics and mathematics education
EditorsBharath Sriraman
Pages71-89
Number of pages19
StatePublished - 2012

Publication series

NameThe Montana Mathematics Enthusiast: Monograph Series in Mathematics Education

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