Cited by 94History and Theory of MathematicsMathematics Education and Teaching TechniquesMathematics and Applications

Evolution of the Function Concept: A Brief Survey

Kleiner, Israel·1989·The College Mathematics Journal

Abstract

received his Ph.D. in ring theory at McGill University, and has been at York University for over twenty years. He has been involved in teacher education at the undergraduate and graduate levels and has given numerous talks to high school students and teachers. One of his major interests is the history of mathematics and its use in the teaching of mathematics. Introduction. The evolution of the concept of function goes back 4000 years; 3700 of these consist of anticipations. The idea evolved for close to 300 years in intimate connection with problems in calculus and analysis. (A one-sentence definition of analysis as the study of properties of various classes of functions would not be far off the mark.) In fact, the concept of function is one of the distinguishing features of

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Registry

Crossref · 10.1080/07468342.1989.11973245

Cites

19 of 19 references verified0 citation errors · 0 not checkable

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Cites

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Research works printed but not linked: 6

  1. I. Grattan-Guinness,The Development of the Foundations of Mathematical Analysis from Euler to Riemann, M.I.T. Press, 1970.
  2. Herrlich H., 1973, Category Theory
  3. Iacobacci R. F., 1965, Augustin-Louis Cauchy and the Development of Mathematical Analysis
  4. Ravetz J. R., 1961, The Logic of Personal Knowledge: Essays Presented to M. Polanyi on his Seventieth Birthday, 71
  5. Rüthing D., 1984, Math. Intelligencer, 6, 4
  6. D. J. Struik,A Source Book in Mathematics, 1200–1800, Harvard Univ. Press, 1969.

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Authors
Kleiner, I.
Corresponding author
Kleiner, Israel
Venue
The College Mathematics Journal
Published
1989-09
Volume
20
Issue
4
Pages
282-300
ISSN
  • 0746-8342 (ISSN-L)
  • 1931-1346
OpenAlex
W4243948797
Cited by
94
References
19
Citations by year
2026: 3 · 2025: 3 · 2024: 7 · 2023: 8 · 2022: 6 · 2021: 3 · 2020: 2 · 2019: 3 · 2018: 5 · 2017: 4 · 2016: 4 · 2015: 5 · 2014: 6 · 2013: 4 · 2012: 4
FWCI
10.76
Type
journal article
Language
en
Open access
closed
Locations
  • College Mathematics Journal (publishedVersion)
  • Exhibit - A Showcase of Scholarship, Creativity and Preservation Provided by Xavier University Library (Xavier University) (submittedVersion)
Topics
  • Physical Sciences › Mathematics › Theoretical Computer Science › History and Theory of Mathematics
  • Social Sciences › Education › Mathematics Education and Teaching Techniques
  • Physical Sciences › Mathematics › Geometry and Topology › Mathematics and Applications
Keywords
concept of function, history of mathematics

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