Skip to main content

Abstract

The title of this chapter calls for some explanation. This chapter largely discusses functions and functionalities of Mathematica that are either unrelated or only indirectly related to mathematics and together with the former, the Mathematica purpose-defining tagline Mathematica-A System for Doing Mathematics by Computer this explains the title. This chapter does not deal with any “meta-mathematical” (in the sense of Godel-Turing-Chaitin [3], [4], [5], [12], [11], [6], [13]) issues.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 99.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. W. Ackermann. Math. Ann. 99, 118 (1928).

    Article  MATH  MathSciNet  Google Scholar 

  2. C. Calude, S. Marcus, I. Tevy. Historia Math. 6, 380 (1974).

    Article  MathSciNet  Google Scholar 

  3. G. J. Chaitin. The Unknowable Springer-Verlag, New York, 1998.

    Google Scholar 

  4. G. J. Chaitin. The Limits of Mathematics Springer-Verlag, New York, 1999.

    Google Scholar 

  5. G. J. Chaitin. arXiv:chao-dyn/99090l 1 (1999).

    Google Scholar 

  6. D. Deutsch, A. Ekert, R. Lupacchini. Bull. Symb. Logic 6, 265 (2000).

    Article  MATH  MathSciNet  Google Scholar 

  7. J. Dieudonne. Geschichte der Mathematik Verlag der Wissenschaften, Berlin, 1985.

    MATH  Google Scholar 

  8. E. Fredkin in Workshop on Physics and Computation PhysComp ‘82 IEEE Computer Society Press, Los Alamitos, 1993.

    Google Scholar 

  9. R. P. Grimaldi. Discrete and Combinatorical Mathematics Addison-Wesley, Reading, 1994.

    Google Scholar 

  10. J. W. Grossman, R.S. Zeitman. Theor. Comput. Sci. 57, 327 (1988).

    Article  MATH  MathSciNet  Google Scholar 

  11. N. D. Jones. Computability and Complexity from a Programming Perspective MIT Press, 1997.

    Google Scholar 

  12. N. D. Jones in S. B. Cooper, J. K. Truss (eds.). Models and Computability Cambridge University Press, Cambridge, 1999.

    Google Scholar 

  13. T. D. Kieu. arXiv: quant-ph/0205093 (2002).

    Google Scholar 

  14. R. Maeder. Programming in Mathematica Addison-Wesley, Reading, 1991.

    Google Scholar 

  15. K. K. Nambiar. Appl. Math. Lett. 8, 51 (1995).

    Article  MATH  MathSciNet  Google Scholar 

  16. A. Oberschelp. Rekursionstheorie BI, Mannheim, 1993.

    MATH  Google Scholar 

  17. R. Peter. Math. Ann. 111, 42 (1935).

    Article  MathSciNet  Google Scholar 

  18. R. Peter. Rekursive Funktionen Budapest, 1951.

    Google Scholar 

  19. R. M. Robinson. Bull. Am. Math. Soc. 54, 987 (1948).

    Article  MATH  Google Scholar 

  20. H. E. Rose. Subrecursion, Functions and Hierarchies Clarendon Press, Oxford, 1984.

    MATH  Google Scholar 

  21. M. Sharir, P. K. Agarwal. Davenport-Schinzel Sequences and their Geometric Applications Cambridge University Press, Cambridge, 1995.

    MATH  Google Scholar 

  22. C. Smorynski. Logical Number Theory I Springer-Verlag, Berlin, 1991.

    Book  MATH  Google Scholar 

  23. Y. Sundblad. BIT 11, 107 (1971).

    Article  MATH  MathSciNet  Google Scholar 

  24. Z. Toroczkai. arXiv:cond-mat/0108448 (2001).

    Google Scholar 

  25. M. Trott. The Mathematica GuideBook for Graphics Springer-Verlag, New York, 2004.

    Book  MATH  Google Scholar 

  26. M. Trott. The Mathematica GuideBook for Numerics Springer-Verlag, New York, 2004.

    Google Scholar 

  27. M. Trott. The Mathematica GuideBook for Symbolics Springer-Verlag, New York, 2004.

    Google Scholar 

  28. D. Withoff. Mathematica Internals. Proceedings Mathematica Conference, Boston, 1992 (MathSource 0203–982).

    Google Scholar 

  29. S. Wolfram. The Mathematica Book Cambridge University Press and Wolfram Media, Cambridge, 1999.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer Science+Business Media New York

About this chapter

Cite this chapter

Trott, M. (2004). Meta-Mathematica . In: The Mathematica GuideBook for Programming . Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8503-3_4

Download citation

  • DOI: https://doi.org/10.1007/978-1-4419-8503-3_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6421-7

  • Online ISBN: 978-1-4419-8503-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics