66
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Introduction to the difference calculus through the Fibonacci numbers

Pages 456-465 | Received 09 Jul 2002, Published online: 06 Aug 2010

References

  • TODOROV , T. D . 2001 . Int. J. Math. Educ. Sci. Technol , 32 : 1 – 20 .
  • DE VILLIERS , M . 2000 . Int. J. Math. Educ. Sci. Technol , 31 : 464 – 473 .
  • ELAYDI , S , LADAS , G , POPENDA , J and RAKOWSKI , J , eds. 2000 . Communications in Differences Equations , Newark, NJ : Gordon and Breach .
  • OLLERTON , R. L and SHANNON , A. G . 1991 . Int. J. Math. Educ. Sci. Technol , 22 : 545 – 554 .
  • SHANNON , A. G . 1974 . Fibonacci Quart , 12 : 327 – 335 .
  • HARTREE , D. R . 1958 . Numerical Analysis , Oxford : Clarendon Press .
  • HOGGATT , V. E Jr. 1969 . Fibonacci and Lucas Numbers , Boston : Houghton Mifflin .
  • HORADAM , A. F . 1961 . Amer, Math. Monthly , 68 : 455 – 459 .
  • CRAGUI , M and WEBB , W . 1999 . Applications of Fibonacci Numbers , Edited by: Howard , F . Volume 8 , 75 – 81 . Dordrecht : Kluwer .
  • IVERSON , K. E . 1988 . Common . ACM , 23 : 444 – 465 .
  • HORADAM , A. F and SHANNON , A. G . 1988 . Applications of Fibonacci Numbers , Edited by: Philippou , A. N , Horadam , A. F and Bergum , G. E . Volume 3 , 163 – 176 . Dordrecht : Kluwer .
  • DOERR , A and LEVASSEUR , K . 1991 . Applied Discrete Structure for Computer Science , 2nd edition , 203 New York : Macmillan .
  • CHAIRELLA , C and SHANNOX , A. G . 1986 . Math. Modelling , 7 : 1239 – 1244 .
  • ATANASSOV , K. T , ATANASSOVA , L and SASSELOV , D . 1985 . Fibonacci Quart , 23 : 21 – 28 .
  • STEIN , S. K . 1962 . Michigan Math. J , 9 : 399 – 402 .
  • ATANASSOV , K. T . 1986 . Fibonacci Quart , 24 : 362 – 365 .
  • TURNER , J. C . 1988 . Fibonacci Quart , 26 : 233 – 246 .
  • ATANASSOV , K. T . 1999 . Intuitionistic Fuzzy Sets , Heidelberg : Physica-Verlag .
  • WEYL , H . 1940 . Philosophy of Mathematics and Natural Science , Princeton, NJ : Princeton University Press .
  • ZADEH , L . 1965 . Information & Control , 8 : 338 – 353 .
  • SHANNON , A. G and ATANASSOV , K. T . 1994 . Fubest94 , Edited by: Lakov , D . Sofia : Bulgarian Academy of Sciences .
  • ATANASSOV , K. T , SHANNON , A. G and TURNER , J. C . 1997 . Comptes Rendus de l'Academie Bulgare des Sciences , 50 : 11 – 14 .
  • HARADAM , A. F and MAHON , J. M . 1985 . Fibonacci Quart , 23 : 7 – 20 .
  • SUCK , J and WULCZYN , G . 1983 . Fibonacci Quart , 21 : 309
  • ROTA , G.‐C . 1975 . Finite Operator Calculus , New York : Academic Press .
  • CARLITZ , L . 1961 . Math. Mag , 34 : 131 – 146 .
  • SLEET , R. J , IRVINE , B and SHANNON , A. G . 1987 . Int. J. Math. Educ. Sci. Technol , 18 : 705 – 715 .
  • SHANNON , A. G . 1991 . Int. J. Math. Educ. Sci. Technol , 22 : 144 – 147 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.