24 citations · 24 across the 2 of their papers we have counts for
3 papers
math.HO2014
A cognitive analysis of Cauchy's conceptions of function, continuity, limit, and infinitesimal, with implications for teaching the calculus
David Tall, Mikhail G. Katz
In this paper we use theoretical frameworks from mathematics education and cognitive psychology to analyse Cauchy's ideas of function, continuity, limit and infinitesimal expressed…
math.HO2012★ 24 cited
A Cauchy-Dirac delta function
Mikhail G. Katz, David Tall
The Dirac delta function has solid roots in 19th century work in Fourier analysis and singular integrals by Cauchy and others, anticipating Dirac's discovery by over a century, and…
math.HO2011
Tension between Intuitive Infinitesimals and Formal Mathematical Analysis
Mikhail G. Katz, David Tall
We discuss the repercussions of the development of infinitesimal calculus into modern analysis, beginning with viewpoints expressed in the nineteenth and twentieth centuries and re…