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Volumn 39, Issue 5 SPEC. ISS., 2005, Pages 523-538

The meaning of infinity in calculus and computer algebra systems

Author keywords

Computer algebra; Filters; High school calculus; Infinity; Interval arithmetic; Limits; Non standard analysis; Semantics

Indexed keywords


EID: 17044411640     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsc.2004.12.002     Document Type: Article
Times cited : (5)

References (12)
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    • Mathpert: Computer support for learning algebra, trigonometry, and calculus
    • A. Voronkov (Ed) Logic Programming and Automated Reasoning Springer-Verlag Berlin, Heidelberg, New York
    • M. Beeson Mathpert: Computer support for learning algebra, trigonometry, and calculus In A. Voronkov (Ed) Logic Programming and Automated Reasoning In Lecture Notes in Artificial Intelligence vol. 624 1992 Springer-Verlag Berlin, Heidelberg, New York
    • (1992) Lecture Notes in Artificial Intelligence , vol.624
    • Beeson, M.1
  • 2
    • 0006762185 scopus 로고
    • Using nonstandard analysis to verify the correctness of computations
    • M. Beeson Using nonstandard analysis to verify the correctness of computations International Journal of Foundations of Computer Science 6 3 1995 299-338
    • (1995) International Journal of Foundations of Computer Science , vol.6 , Issue.3 , pp. 299-338
    • Beeson, M.1
  • 3
    • 17044389158 scopus 로고    scopus 로고
    • Mathpert Calculus Assistant
    • This software program (now known as MathXpert) was published in July, 1997 by Mathpert Systems, Santa Clara, CA, and is commercially available from
    • Beeson M., 1997. Mathpert Calculus Assistant. This software program (now known as MathXpert) was published in July, 1997 by Mathpert Systems, Santa Clara, CA, and is commercially available from http://www.mathxpert.com
    • (1997)
    • Beeson, M.1
  • 4
    • 0006803685 scopus 로고    scopus 로고
    • Design Principles of Mathpert: Software to support education in algebra and calculus
    • N. Kajler (Ed) Texts and Monographs in Symbolic Computation Springer-Verlag Berlin, Heidelberg, New York
    • M. Beeson Design Principles of Mathpert: Software to support education in algebra and calculus In: N. Kajler (Ed) Computer-Human Interaction in Symbolic Computation In: Texts and Monographs in Symbolic Computation 1998 Springer-Verlag Berlin, Heidelberg, New York pp. 89-115
    • (1998) Computer-Human Interaction in Symbolic Computation , pp. 89-115
    • Beeson, M.1
  • 5
    • 17044440575 scopus 로고    scopus 로고
    • MathXpert: Un logiciel pour aider les élèves à apprendre les mathématiques par l'action
    • An English translation of this article under the title MathXpert: Learning mathematics in the twenty-first century is availble at
    • M. Beeson MathXpert: Un logiciel pour aider les élèves à apprendre les mathématiques par l'action Sciences et techniques éducatives 9 1 2002 37-62 An English translation of this article under the title MathXpert: Learning mathematics in the twenty-first century is availble at http://www.mathcs.sjsu.edu/faculty/ beeson/Pubs/pubs.html.
    • (2002) Sciences et Techniques Éducatives , vol.9 , Issue.1 , pp. 37-62
    • Beeson, M.1
  • 7
    • 0003391813 scopus 로고
    • New York, London: Academic Press
    • K. Kuratowski Topology vol 1 1966 Academic Press New York, London
    • (1966) Topology , vol.1
    • Kuratowski, K.1
  • 10
    • 0004156783 scopus 로고
    • 3rd edition Pacific Grove, CA: Brooks-Cole
    • J. Stewart Calculus 3rd edition 1995 Brooks-Cole Pacific Grove, CA
    • (1995) Calculus
    • Stewart, J.1
  • 11
    • 0012098095 scopus 로고
    • Crimes and misdemeanors in the computer algebra trade
    • D. Stoutemeyer Crimes and misdemeanors in the computer algebra trade Notices AMS 38 1991 779-785
    • (1991) Notices AMS , vol.38 , pp. 779-785
    • Stoutemeyer, D.1
  • 12
    • 0004149831 scopus 로고    scopus 로고
    • Cambridge: Cambridge University Press
    • S. Wolfram The Mathematica Book 1996 Cambridge University Press Cambridge
    • (1996) The Mathematica Book
    • Wolfram, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.