References for: Pell's equation


Version for printing
Books

  1. I G Bashmakova and E I Slavutin, History of Diophantine analysis (Russian) : From Diophantus to Fermat "Nauka" (Moscow, 1984).
  2. T S Bhanu Murthy, A modern introduction to ancient Indian mathematics (New Delhi, 1992).
  3. C Brezinski, History of continued fractions and Padé approximants (Berlin, 1991).
  4. L Euler, Elements of algebra : Reprint of the 1840 edition (New York, 1984).
  5. C N Srinivasiengar, The history of ancient Indian mathematics (Calcutta, 1967).
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 No. 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. No. 29 (1985), 177-189, 347.
  3. S P Arya, On the Brahmagupta- Bhaskara equation, Math. Ed. 8 (1) (1991), 23-27.
  4. C Baltus, Continued fractions and the Pell equations : The work of Euler and Lagrange, Comm. Anal. Theory Contin. Fractions 3 (1994), 4-31.
  5. I-Kh I Gerasim, On the genesis of Rédei's theory of the equation x -Dy = -1 (Russian), Istor.-Mat. Issled. No. 32-33 (1990), 199-211.
  6. C Houzel, Introduction a l'histoire de l'analyse diophantienne, in Analyse diophantienne et géométrie algébrique (Paris, 1993), 1-12.
  7. K R Johnson, An iterative method for approximating square roots, Math. Mag. 62 (4) (1989), 253-259.
  8. G Lachaud, Exactitude et approximation en analyse diophantienne, in L'à-peu-près, Urbino, 1986 (Paris, 1988), 27-45.
  9. S Raghavan, The cakravala method, Current Sci. 71 (6) (1996), 490-493.
  10. F Schwarz, Wieviele Rinder hat der Sonnengott?, Mitt. Dtsch. Math.-Ver. (2) (1997), 13-18.
  11. T N Sinha, Pell's equation: its history and significance, Math. Ed. 5 (1) (1988), 10-15.
  12. B L van der Waerden, Pell's equation in the mathematics of the Greeks and Indians (Russian), Uspehi Mat. Nauk 31 (5) (191) (1976), 57-70.

JOC/EFR February 2002

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