نسبت طلایی (Persian Wikipedia)
Analysis of information sources in references of the Wikipedia article "نسبت طلایی" in Persian language version.
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archive.org
- Hemenway, Priya (2005). Divine Proportion: Phi In Art, Nature, and Science. New York: Sterling. pp. 20–21. ISBN 978-1-4027-3522-6.
- Baravalle, H. V. (1948). "The geometry of the pentagon and the golden section". Mathematics Teacher. 41: 22–31.
- Fink, Karl; Beman, Wooster Woodruff; Smith, David Eugene (1903). A Brief History of Mathematics: An Authorized Translation of Dr. Karl Fink's Geschichte der Elementar-Mathematik (2nd ed.). Chicago: Open Court Publishing Co. p. 223.
- Herz-Fischler, Roger (1987). A Mathematical History of Division in Extreme and Mean Ratio. Wilfrid Laurier University Press. ISBN 978-0-88920-152-1.
- Cook, Theodore Andrea (1914). The Curves of Life. London: Constable and Company Ltd. p. 420.
bloomberg.com
- Gerlin, Andrea (October 5, 2011). "Tecnion's Shechtman Wins Nobel in Chemistry for Quasicrystals Discovery". Bloomberg. Archived from the original on December 5, 2014. Retrieved January 4, 2019.
books.google.com
- Livio 2003, pp. 3, 81. Livio, Mario (2003) [2002]. The Golden Ratio: The Story of Phi, the World's Most Astonishing Number (First trade paperback ed.). New York City: Broadway Books. ISBN 978-0-7679-0816-0.
- Livio 2003, p. 6. Livio, Mario (2003) [2002]. The Golden Ratio: The Story of Phi, the World's Most Astonishing Number (First trade paperback ed.). New York City: Broadway Books. ISBN 978-0-7679-0816-0.
- Livio 2003, p. 4: "... line division, which Euclid defined for … purely geometrical purposes ..." Livio, Mario (2003) [2002]. The Golden Ratio: The Story of Phi, the World's Most Astonishing Number (First trade paperback ed.). New York City: Broadway Books. ISBN 978-0-7679-0816-0.
- Livio 2003, pp. 7–8. Livio, Mario (2003) [2002]. The Golden Ratio: The Story of Phi, the World's Most Astonishing Number (First trade paperback ed.). New York City: Broadway Books. ISBN 978-0-7679-0816-0.
- Livio 2003, pp. 4–5. Livio, Mario (2003) [2002]. The Golden Ratio: The Story of Phi, the World's Most Astonishing Number (First trade paperback ed.). New York City: Broadway Books. ISBN 978-0-7679-0816-0.
- Livio 2003, p. 78. Livio, Mario (2003) [2002]. The Golden Ratio: The Story of Phi, the World's Most Astonishing Number (First trade paperback ed.). New York City: Broadway Books. ISBN 978-0-7679-0816-0.
- Livio 2003, p. 3. Livio, Mario (2003) [2002]. The Golden Ratio: The Story of Phi, the World's Most Astonishing Number (First trade paperback ed.). New York City: Broadway Books. ISBN 978-0-7679-0816-0.
- Livio 2003, pp. 88–96. Livio, Mario (2003) [2002]. The Golden Ratio: The Story of Phi, the World's Most Astonishing Number (First trade paperback ed.). New York City: Broadway Books. ISBN 978-0-7679-0816-0.
- Livio 2003, pp. 131–132. Livio, Mario (2003) [2002]. The Golden Ratio: The Story of Phi, the World's Most Astonishing Number (First trade paperback ed.). New York City: Broadway Books. ISBN 978-0-7679-0816-0.
- Livio 2003, p. 141. Livio, Mario (2003) [2002]. The Golden Ratio: The Story of Phi, the World's Most Astonishing Number (First trade paperback ed.). New York City: Broadway Books. ISBN 978-0-7679-0816-0.
- Livio 2003, pp. 151–152. Livio, Mario (2003) [2002]. The Golden Ratio: The Story of Phi, the World's Most Astonishing Number (First trade paperback ed.). New York City: Broadway Books. ISBN 978-0-7679-0816-0.
- Posamentier, Alfred S.; Lehmann, Ingmar (2011). The Glorious Golden Ratio. Prometheus Books. p. 8. ISBN 978-1-61614-424-1.
- Posamentier, Alfred S.; Lehmann, Ingmar (2011). The Glorious Golden Ratio. Prometheus Books. p. 285. ISBN 978-1-61614-424-1.
- Livio 2003, p. 5. Livio, Mario (2003) [2002]. The Golden Ratio: The Story of Phi, the World's Most Astonishing Number (First trade paperback ed.). New York City: Broadway Books. ISBN 978-0-7679-0816-0.
- Gardner, Martin (2001). The Colossal Book of Mathematics: Classic Puzzles, Paradoxes, and Problems. W.W. Norton & Company. pp. 77, 88. ISBN 978-0-393-02023-6.
- Jaric, Marko V. (2012), Introduction to the Mathematics of Quasicrystals, Elsevier, p. x, ISBN 978-0-323-15947-0,
Although at the time of the discovery of quasicrystals the theory of quasiperiodic functions had been known for nearly sixty years, it was the mathematics of aperiodic Penrose tilings, mostly developed by Nicolaas de Bruijn, that provided the major influence on the new field.
- Livio 2003, pp. 203–209. Livio, Mario (2003) [2002]. The Golden Ratio: The Story of Phi, the World's Most Astonishing Number (First trade paperback ed.). New York City: Broadway Books. ISBN 978-0-7679-0816-0.
clarku.edu
aleph0.clarku.edu
doi.org
- Schreiber, Peter (1995). "A Supplement to J. Shallit's Paper "Origins of the Analysis of the Euclidean Algorithm"". Historia Mathematica. 22 (4): 422–424. doi:10.1006/hmat.1995.1033.
mathvault.ca
- "Compendium of Mathematical Symbols". Math Vault (به انگلیسی). 2020-03-01. Retrieved 2020-08-10.
nytimes.com
opinionator.blogs.nytimes.com
- Strogatz, Steven (September 24, 2012). "Me, Myself, and Math: Proportion Control". The New York Times.
oeis.org
st-andrews.ac.uk
www-history.mcs.st-andrews.ac.uk
- "The Golden Ratio". The MacTutor History of Mathematics archive. Retrieved 2007-09-18.
web.archive.org
- Gerlin, Andrea (October 5, 2011). "Tecnion's Shechtman Wins Nobel in Chemistry for Quasicrystals Discovery". Bloomberg. Archived from the original on December 5, 2014. Retrieved January 4, 2019.
wolfram.com
mathworld.wolfram.com
- Weisstein, Eric W. "Golden Ratio". mathworld.wolfram.com (به انگلیسی). Retrieved 2020-08-10.
- Weisstein, Eric W. "Golden Ratio Conjugate". MathWorld.
- Weisstein, Eric W. "Binet's Fibonacci Number Formula". MathWorld.
- Weisstein, Eric W. "Golden Ratio". MathWorld.