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International Conference on Mathematics of Program Construction

MPC 1998: Mathematics of Program Construction pp 44–51Cite as

An application of program derivation techniques to 18th-century mathematics

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1422))

Abstract

Program derivation methodology is applied to reconstruct Euler's proof that every prime congruent to 1 modulo 4 is the sum of two squares.

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References

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  3. E.W. Dijkstra, A derivation of a proof by D. Zagier. EWD1154, August 1993.

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  4. L. Euler, ‘Novae demonstrationes circa resolutionem numerorum in quadrata'. Acta Eruditorium Lipsiae (1773), 193.

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  5. A. Girard (ed.), L'Arithmétique de Simon Stevin. Leiden, 1625.

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  6. J.L. Lagrange, ‘Démonstration d'un théorème nouveau concernant les nombres premiers', Nouv. Mém. Acad. Roy. Berlin 2 (1773), 125–337.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Computing Science, Eindhoven University of Technology, P.O. Box 513, 5600, MB Eindhoven, The Netherlands

    A. Bijlsma

Authors
  1. A. Bijlsma
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Editor information

Johan Jeuring

Additional information

Dedicated to Prof. Dr F.E.J. Kruseman Aretz

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© 1998 Springer-Verlag Berlin Heidelberg

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Bijlsma, A. (1998). An application of program derivation techniques to 18th-century mathematics. In: Jeuring, J. (eds) Mathematics of Program Construction. MPC 1998. Lecture Notes in Computer Science, vol 1422. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0054284

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  • DOI: https://doi.org/10.1007/BFb0054284

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64591-7

  • Online ISBN: 978-3-540-69345-1

  • eBook Packages: Springer Book Archive

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