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.
-
Fibonacci Numbers and the Golden Section
- Zwei sehr ausführliche Seite über die Fibonacci-Zahlen und den Goldenen
Schnitt und ihr Auftreten in Natur und Kunst von Ron Knott.
- The Fibonacci
Association
- Die Homepage der Fibonacci Association mit einer Link-Liste zu
Fibonacci-Seite im Netz, zu Veröffentlichen und Konferenzen über
Fibonacci-Zahlen.
- Fibonacci
Numbers Formulae
- Eine Sammlung von Formeln mit Fibonacci-Zahlen und
Binomialkoeffizienten. Ohne Beweis und relativ willkürlich, aber witzig
anzuschauen.
-
Leonardo Pisano Fibonacci
- Eine ausführliche Biographie an der University of St Andrews
- Willem's
Fibonacci Seite
- Mit einigen interessanten Fakten über Fibonacci-Zahlen, größtenteils aus
der Welt der Kombinatorik.
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.