C Verwendete Literatur, Links

Links

Im Netz gibt es haufenweise Seiten über Fibonacci-Zahlen, bis hin zu so exotischen Sachen wie dem Auftreten von Fibonacci-Zahlen in der Mandelbrot-Menge. Es gibt soviele Seiten, daß Verzeichnisdienste sogar eigene Verzeichnisse über Fibonacci-Zahlen eingerichtet haben. Ich beschränke mich hier deshalb auf eine Handvoll mehr oder weniger willkürlich ausgewählte Links. Von dort aus kann man sich dann weiterklicken.

Verwendete Literatur

Dies ist keine Liste von für Interessierte geeigneter Literatur, sondern eine Liste der im Text zitierten Literatur.

[Ando1]
ANDO, S.: "A Triangular Array with Hexagon Property Which is dual zu Pascal's Triangle" in: Applications of Fibonacci numbers II, Proc. of the 2nd Int. Conf. on Fibonacci numbers and their appl., 1986, Kluwer Acad. Publishers.
[Ando2]
ANDO, S.; SATO, D.: "Translatable and rotatable configurations wich give equal product, equal GCD und equal LCM properties sumultaneously", in: Applications of Fibonacci numbers III, Proc. of the 3rd Int. Conf. on Fibonacci numbers and their appl., 1988, Kluwer Acad. Publishers 1990.
[Aydin1]
AYDIN, H.: "Recurrence relations in finite nilpotent groups", Ph.D. thesis, Bath (1991).
[Aydin2]
AYDIN, H.; SMITH, G.C.: "Fourier Analysis in finite nilpotent groups", in: Applications of Fibonacci numbers V, Proc. of the 5th Int. Conf. on Fibonacci numbers and their appl., 1993, Kluwer Acad. Publishers 1990.
[Bicknell]
BICKNELL, M.: "A Primer for the Fibonacci Numbers: Part VII; Introduction to Fibonacci Polynomials and Their Divisibility Properties." The Fibonacci Quarterly, 8 (1970), S.407-420
[Boyer]
BOYER, C.B.: "A history of mathematics", John Wiley and sons Inc., 1968.
[Brugia]
BRUGIA, O.; FILIPPONI, P.; MAZZARELLA, F.: "The Ring of Fibonacci (Fibonacci "Numbers" with Matrix Subscript", in: Applications of Fibonacci numbers III, Proc. of the 3rd Int. Conf. on Fibonacci numbers and their appl., 1988, Kluwer Acad. Publishers 1990.
[Clary]
CLARY, S.; HEMENWAY, P.D.: "On sums of cubes of Fibonacci Numbers", in: Applications of Fibonacci numbers V, Proc. of the 5th Int. Conf. on Fibonacci numbers and their appl., 1992, Kluwer Acad. Publishers 1993.
[Cohn]
COHN, J.H.E.: "Square Fibonacci numbers etc.", The Fibonacci Quarterly 2 (1964), 109-113
[Douady]
DOUADY, S.; COUDER, Y.: "Phyllotaxis as a physical self-organized growth process", Phys. Rev. Lett. 68, 2098-2001?
[Drmota]
DRMOTA, M.: "On generalized Fibonacci Numbers of Graphs", in: Applications of Fibonacci numbers III, Proc. of the 3rd Int. Conf. on Fibonacci numbers and their appl., 1988, Kluwer Acad. Publishers 1990.
[Filipponi]
FILIPPONI, P.; FREITAG, H.T.: "The Zeckendorf representation of Fkn/Fn", in: Applications of Fibonacci numbers V, Proc. of the 5th Int. Conf. on Fibonacci numbers and their appl., 1992, Kluwer Acad. Publishers 1993.
[Götsch]
GÖTTSCH, G.: "Über die mittlere Periodenlänge der Fibonacci-Folge modulo p", Dissertation 1982, Fakültät für Math. und Nat.Wiss. Universität Hannover
[Green]
GREEN, P.: "Phyllotactic patterns: characterization by geometrical activity at the formative region", J. Theor. Biol. 128 (1987) 387-395.
[Hillman]
HILLMAN, A.P., HOGGAT, V.E.JR.: "Exponents of Primes in Generalized Binomial Coefficients", J. für Reine und Angewandte Mathe., 262-263 (1973), S.375-380.
[Hoggat1]
HOGGAT, V.E.JR., BICKNELL, M.: "Some new Fibonacci Identities", The Fibonacci Quarterly 2 (1964), 29-32.
[Hoggat2]
HOGGAT, V.E.JR., HANSELL, W.: "The Hidden Hexagon Squares", The Fibonacci Quarterly 9 (1971), 120-133
[Imada]
IMADA, NAOTAKA: "An inverse theorem on Fibonacci numbers", in: Applications of Fibonacci numbers III, Proc. of the 3rd Int. Conf. on Fibonacci numbers and their appl., 1988, Kluwer Acad. Publishers 1990.
[Jean]
JEAN, R.V.: "Mathematical Approach to Pattern and Form in Plant Growth", John Wiley and Sons, 1984.
[Jones1]
Jones, J.P.: "Diophantine representation of the set of Fibonacci numbers", The Fibonacci Quarterly, Vol.13 (1975), 84-88.
[Jones2]
Jones, J.P.: "Diophantine represetation of non-Fibonacci numbers", in: Applications of Fibonacci numbers V, Proc. of the 5th Int. Conf. on Fibonacci numbers and their appl., 1992, Kluwer Acad. Publishers 1993.
[Kiss]
KISS, P.: "Primitive divisors of Lucas numbers", in: Applications of Fibonacci numbers, Proc. of the 2nd Int. Conf. on Fibonacci numbers and their appl., 1986, Kluwer Acad. Publishers 1988
[Kuipers]
KUIPERS, L.; SHIUE, J.S.: "A distribution property of the sequence of Fibonacci numbers", The Fibonacci Quarterly, 10 (1973), 375-376, 392
[Lagarias]
LAGARIAS, J.C., WEISSNER, D.P.: "Fibonacci and Lucas cubes", The Fibonacci Quarterly 19 (1981), 39-43
[Long1]
LONG, CALVIN T.: "Some binomial Fibonacci Identities", in: Applications of Fibonacci numbers III, Proc. of the 3rd Int. Conf. on Fibonacci numbers and their appl., 1988, Kluwer Acad. Publishers 1990.
[Long1]
LONG, CA.T.; SHIRO ANDO: "Two generalizations of Gould's Star of David Theorem", in: Applications of Fibonacci numbers III, Proc. of the 3rd Int. Conf. on Fibonacci numbers and their appl., 1988, Kluwer Acad. Publishers 1990.
[Luo]
LUO, M.: "On tringular Fibonacci Numbers", The Fibonacci Quarterly, 27 (1989), 98-108.
[Mahon]
MAHON, BR.J.M.; HORADAM, A.F.: "A survey of properties of third order Pell diagonal functions" in: Applications of Fibonacci numbers III, Proc. of the 3rd Int. Conf. on Fibonacci numbers and their appl., 1988, Kluwer Acad. Publishers 1990.
[Makarov]
MAKAROV, GOLUZINA, LODKIN, PODKORYTOV: "Selected Problems in real analysis", AMS, Providence Rhode Island, 1992.
[Matiyasevich]
MATIYASEVICH, Y.V., GUY, R.K.: "A new formula for Pi", Amer. Math. Monthly 93 No.8 (1986) 631-635.
[Niederreiter]
NIEDERREITER, H.: "Distribution of Fibonacci numbers mod 5k", The Fibonacci Quarterly, 10 (1972),373-374
[Prodinger]
PRODINGER, H.; TICHY, R.F.: "Fibonacci Numbers of Graphs", The Fibonacci Quarterly 20 (1982), 16-21
[Roberts1]
ROBERTS, D.W.: "A chemical contac pressure model for phyllotaxis", J. Theor. Biol. 108 (1984) 481-490.
[Roberts2]
ROBERTS, D.W.: "The chemical contact pressure model for phyllotaxis - application to phyllotaxis changes in seedlings and to anomalous phyllotaxis systems", J. Theor. Biol. 125 (1987) 141-161.
[Robbins]
ROBBINS, N.: "Fibonacci numbers of the form px2±1, px3±1, where p is prime", in: Applications of Fibonacci numbers, Proc. of the 2nd Int. Conf. on Fibonacci numbers and their appl., 1986, Kluwer Acad. Publishers 1988
[Sato]
SATO, D.: "Star of David(II) - A simple Proof of Ando's Theorem" in: Applications of Fibonacci numbers II, Proc. of the 2nd Int. Conf. on Fibonacci numbers and their appl., 1986, Kluwer Acad. Publishers.
[Spickerman]
SPICKERMAN, W.R.: "Binets Formula for the Tribonacci Sequence", The Fibonacci Quarterly 20 No.2 (1982), 118-120.
[Tognetti]
TOGNETTI, K.; WINLEY, G.; VAN RAVENSTEIN, T.: "The Fibonacci tree, Hofstadter and the golden string", in: Applications of Fibonacci numbers III, Proc. of the 3rd Int. Conf. on Fibonacci numbers and their appl., 1988, Kluwer Acad. Publishers 1990.
[Vorobev]
VOROB'EV, N.N.: "Fibonacci Numbers", Pergamon Press, 1961.
[Wall]
WALL, D.D.: "Fibonacci-series modulo m", Amer. Math. Monthly 67 (1960), 525-532.
[Ward]
WARD, M.: "Note on divisibility sequences", Bull. Amer. Math. Soc. 42 (1936), 843-845
[Weger]
WEGER, B.M.M. DE: "A curious property of the eleventh Fibonacci number", Rocky mountain J. of Math. 25 (1995) 977-994.
[Yotsumoto]
YOTSUMOTO, A.: "A diffusion model for phyllotaxis", J. Theor. Biol. 162 (1993) 131-151.
by Michael Becker, 5/2003. Letzte Änderung: 8/2003.