References for John Wallis

Version for printing
  1. C J Scriba, Biography in Dictionary of Scientific Biography (New York 1970-1990).
    http://www.encyclopedia.com/topic/John_Wallis.aspx
  2. Biography in Encyclopaedia Britannica.
    http://www.britannica.com/eb/article-9075990/John-Wallis

Books:

  1. C B Boyer, A History of Mathematics, 2nd ed. rev. by U C Merzbach (1989).
  2. J F Scott, The Mathematical Work of John Wallis (1616-1703) (London, 1938, New York, 1981).
  3. C J Scriba, Studien zur Mathematik des John Wallis (1616-1703) (Wiesbaden, 1966).

Articles:

  1. A A Antropov, Two methods for the solution of Pell's equation in the work of J Wallis (Russian), Istor. Metodol. Estestv. Nauk 32 (1986), 39-49.
  2. A A Antropov, Wallis' method of 'approximations' as applied to the solution of the equation x - ny = 1 in integers (Russian), Istor.-Mat. Issled. 29 (1985), 177-189, 347.
  3. M H Bektasova, Wallis' 'Algebra' (Russian), in Collection of questions on mathematics and mechanics (Russian) 8 (Alma-Ata, 1976), 3-17, 226.
  4. L I Cerkalova, Composite ratios in Wallis (Russian), Jaroslav. Gos. Ped. Inst. Dokl. Naucn. Konfer. 2 (3) (1964), 153-160.
  5. D Dennis and J Confrey, The creation of continuous exponents : a study of the methods and epistemology of John Wallis, in Research in collegiate mathematics education II (Providence, RI, 1996), 33-60.
  6. J Dutka, Wallis's product, Brouncker's continued fraction, and Leibniz's series, Arch. Hist. Exact Sci. 26 (2) (1982), 115-126.
  7. D H Fowler, An approximation technique, and its use by Wallis and Taylor, Arch. Hist. Exact Sci. 41 (3) (1991), 189-233.
  8. I A Golovinskii, Interpolation of sequences in the work of Wallis and Euler (Russian), in History and methodology of the natural sciences XX (Russian) (Moscow, 1978), 62-68.
  9. K Hara, Pascal et Wallis au sujet de la cycloide, Ann. Japan Assoc. Philos. Sci. 3 (1969), 166-187.
  10. K Hill, Neither ancient nor modern : Wallis and Barrow on the composition of continua. I. Mathematical styles and the composition of continua, Notes and Records Roy. Soc. London 50 (2) (1996), 165-178.
  11. K Hill, Neither ancient nor modern : Wallis and Barrow on the composition of continua. II. The seventeenth-century context : the struggle between ancient and modern, Notes and Records Roy. Soc. London 51 (1) (1997), 13-22.
  12. J E Hofmann, Leibniz und Wallis, Studia Leibnitiana 5 (1973), 245-281.
  13. F D Kramar, The origins of vector algebra in Wallis' mechanics (Russian), Voprosy Istor. Estestvoznan. i Tehn. Vyp. 21 (1967), 103-108.
  14. F D Kramar, Integration methods of J. Wallis (Russian), Istor.-Mat. Issled. 14 (1961), 11-100.
  15. F D Kramar, Questions of the foundations of analysis in the works of Wallis and Newton (Russian), Trudy Sem. MGU Istor. Mat. Istor.-Mat. Issledov. 1950 (3) (1950), 486-508.
  16. L Maieru, John Wallis : a reading of the polemics between Peletier and Clavius concerning the angle of contact (Italian), in Conference on the History of Mathematics (Rende, 1991), 315-364.
  17. A Malet, Barrow, Wallis, and the remaking of seventeenth century indivisibles, Centaurus 39 (1) (1997), 67-92.
  18. T Murata, Un traité heuristique japonais contemporain de Wallis et de Newton, Comment. Math. Univ. St. Paul. 36 (2) (1987), 235-253.
  19. T Murata, Wallis' 'Arithmetica infinitorum' and Takebe's 'Tetsujutsu sankei' : what underlies their similarities and dissimilarities?, Historia Sci. 19 (1980), 77-100.
  20. T F Nikonova, The first attempt to compile a history of algebra by the English mathematician John Wallis (Russian), Moskov. Oblast. Ped. Inst. Ucen. Zap. 202 (1968), 379-392.
  21. S Probst, Infinity and creation : the origin of the controversy between Thomas Hobbes and the Savilian professors Seth Ward and John Wallis, British J. Hist. Sci. 26 (90, 3) (1993), 271-279.
  22. H Pycior, Mathematics and philosophy : Wallis, Hobbes, Barrow and Berkeley, Journal of the History of Ideas 48 (1987), 265-287.
  23. C J Scriba, The autobiograhy of John Wallis, F.R.S., Notes and Records Roy. Soc. London 25 (1970), 17-46.
  24. C J Scriba, A tentative index of the correspondence of John Wallis, F.R.S., Notes and Records Roy. Soc. London 22 (1967), 58-93.
  25. C J Scriba, Wallis und Harriot, Centaurus 10 (1965), 248-257.
  26. J F Scott, The Reverend John Wallis, F.R.S., Notes and Records Royal Society of London 15 (1960-61), 57-68.
  27. T A Tokareva, The 'Treatise of algebra both historical and practical' of John Wallis (Russian), Istor.-Mat. Issled. 27 (1983), 146-163.
  28. G U Yule, John Wallis 1616-1703 , Notes and Records Royal Society of London 2 (1939).

JOC/EFR February 2002

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