Skip to main content
SpringerLink
Log in
Book cover

International Conference on Intelligent Computer Mathematics

CICM 2009: Intelligent Computer Mathematics pp 480–485Cite as

A Knowledge Repository for Indefinite Integration Based on Transformation Rules

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5625))

Abstract

Taking the specific problem domain of indefinite integration, we describe the on-going development of a repository of mathematical knowledge based on transformation rules. It is important that the repository be not confused with a look-up table. The database of transformation rules is at present encoded in Mathematica, but this is only one convenient form of the repository, and it could be readily translated into other formats. The principles upon which the set of rules is compiled is described. One important principle is minimality. The benefits of the approach are illustrated with examples, and with the results of comparisons with other approaches.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Abramowitz, M., Stegun, I.: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. US Government Printing Office (1964) (10th Printing December 1972)

    Google Scholar 

  2. Einwohner, T.H., Fateman, R.J.: Searching techniques for integral tables. In: Proceedings ISSAC 1995, pp. 133–139. ACM Press, New York (1995)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. 62-3614 Loli’i Way, Kamuela, Hawaii, USA

    A. D. Rich

  2. Department of Applied Mathematics, The University of Western Ontario, London, Ontario, Canada, N6A 5B7

    D. J. Jeffrey

Authors
  1. A. D. Rich
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. J. Jeffrey
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Computing and Software, McMaster University, 1280 Main Street West, L8S 4K1, Hamilton, ON, Canada

    Jacques Carette

  2. Informatics, 2.02 Informatics Forum, University of Edinburgh, 10 Crichton street, EH8 9AB, Edinburgh, UK

    Lucas Dixon

  3. Department of Computer Science, University of Bologna, via Mura Anteo Zamboni, 7, 40127, Bologna, Italy

    Claudio Sacerdoti Coen

  4. Department of Computer Science MC 375, University of Western Ontario, N6A 5B7, London, ON, Canada

    Stephen M. Watt

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Rich, A.D., Jeffrey, D.J. (2009). A Knowledge Repository for Indefinite Integration Based on Transformation Rules. In: Carette, J., Dixon, L., Coen, C.S., Watt, S.M. (eds) Intelligent Computer Mathematics. CICM 2009. Lecture Notes in Computer Science(), vol 5625. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02614-0_39

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-02614-0_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02613-3

  • Online ISBN: 978-3-642-02614-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation