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An Arithemetic Model of Gravity

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Discrete and System Models

Part of the book series: Modules in Applied Mathematics ((MAM))

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Abstract

The immediate purpose of this chapter is to provide students and teachers of mathematics with a completely arithmetic formulation for the study of gravity. Shocking as it first may seem, all the results usually inferred by means of the calculus will be deduced using only the basic operations of addition, subtraction, multiplication, and division. A course in high school intermediate algebra, which may even be taken concurrently, is the only prerequisite for a complete understanding of all the ideas and results to be developed. For the reader who may wish, in addition, to explore arithmetic models of more complex physical forces, a concise survey and related references are provided in Sections 3 and 4, respectively.

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References

  1. D. Greenspan, Arithmetic Applied Mathematics. Oxford: Pergamon, 1980.

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  2. — Computer-Oriented Mathematical Physics. Oxford: Pergamon, 1981.

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  3. R. A. LaBudde and D. Greenspan, “Discrete mechanics—A general treatment,” Computational Physics vol. 15, pp. 134–167, 1974.

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  4. —,“Energy and momentum conserving methods of arbitrary order for thenumerical integration of equations of motion,” Part INumerische Mathematik vol. 25, pp. 323–346, 1976; Part II, Numerische Mathematik, vol. 26, pp. 1–16, 1976.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Texas at Arlington, Arlington, TX, 76019, USA

    Donald Greenspan

Authors
  1. Donald Greenspan
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Editor information

Editors and Affiliations

  1. School of Operations Research, Cornell University, Ithaca, NY, 14853, USA

    William F. Lucas

  2. Department of Mathematics, Rutgers University, New Brunswick, NJ, 08903, USA

    Fred S. Roberts

  3. Department of Mathematical Sciences, Rice University, Houston, TX, 77001, USA

    Robert M. Thrall

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© 1983 Springer Science+Business Media New York

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Greenspan, D. (1983). An Arithemetic Model of Gravity. In: Lucas, W.F., Roberts, F.S., Thrall, R.M. (eds) Discrete and System Models. Modules in Applied Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5443-0_4

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  • DOI: https://doi.org/10.1007/978-1-4612-5443-0_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-5445-4

  • Online ISBN: 978-1-4612-5443-0

  • eBook Packages: Springer Book Archive

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