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1

Vajda, Steven. Fibonacci and Lucas numbers, and the golden section: Theory and applications. Ellis Horwood, 1989.

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2

Howard, Frederic T. Applications of Fibonacci Numbers: Volume 9: Proceedings of The Tenth International Research Conference on Fibonacci Numbers and Their Applications. Springer Netherlands, 2004.

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3

Vajda, S. Fibonacci & Lucas numbers, and the golden section: Theory and applications. E. Horwood Ltd., 1989.

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4

International Conference on Fibonacci Numbers and Their Applications (6th 1994 Washington State University). Applications of Fibonacci numbers: Proceedings of "the sixth International Research Conference on Fibonacci Numbers and Their Applications", Washington State University, Pullman, Washington, U.S.A., July 18-22, 1994. Kluwer Academic, 1996.

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5

International Conference on Fibonacci Numbers and Their Applications (8th 1998 Rochester Institute of Technology). Applications of fibonacci numbers: Volume 8 : proceedings of 'The Eighth International Research Conference on Fibonacci Numbers and Their Applications', Rochester Institute of Technology, Rochester, New York, U.S.A., June 22-26, 1998. Springer, 1999.

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6

International Conference on Fibonacci Numbers and Their Applications (7th 1996 Technische Universität Graz). Applications of Fibonacci numbers: Proceedings of 'The Seventh International Confererence on Fibonacci Numbers and their Applications',Technische Universität, Graz, Austria, July 15-19, 1996. Kluwer Academic, 1998.

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7

Anthony, Olsen Scott, ed. The mathematics of harmony: From Euclid to contemporary mathematics and computer science. World Scientific, 2009.

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8

Benjamin, Arthur. Discrete mathematics. The Teaching Company, 2009.

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9

Florian, Luca, ed. Analytic number theory: Exploring the anatomy of integers. American Mathematical Society, 2012.

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10

Bergum, G. E. Applications of Fibonacci Numbers. Springer Verlag, 2013.

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11

Philippou, Andreas N., G. E. Bergum, and Alwyn F. Horadam. Applications of Fibonacci Numbers: Volume 7. Springer, 2012.

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12

Horadam, A. F., G. E. Bergum, and A. N. Philippou. Applications of Fibonacci Numbers: Volume 2. Andreas N Philippou, 2010.

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13

Bosch, Roberto. 100 Gems about Fibonacci Numbers: Theory and Problems. Unboxing Cuba, 2015.

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14

Bergum, Gerald E., and Andreas N. Philippou. Applications of Fibonacci Numbers, Volume 7. Springer, 1998.

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15

Philippou, Andreas N., G. E. Bergum, and Alwyn F. Horadam. Applications of Fibonacci Numbers: Volume 2. Springer, 2013.

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16

Philippou, Andreas N., G. E. Bergum, and Alwyn F. Horadam. Applications of Fibonacci Numbers: Volume 2. Springer, 2014.

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17

Tondi, Rosario. Fermat's Last Theorem, Proof. Universal Cycle Theory. Fibonacci Series. Lulu Press, Inc., 2017.

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18

Fermat's Last Theorem, Proof. Universal Cycle Theory. Fibonacci Series. Lulu Press, Inc., 2024.

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19

Philippou, Andreas N., G. E. Bergum, and Alwyn F. Horadam. Applications of Fibonacci Numbers: Proceedings of 'The Sixth International Research Conference on Fibonacci Numbers and Their Applications', Washington State University, Pullman, Washington, U. S. A. , July 18-22 1994. Springer London, Limited, 2011.

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20

Biscuits Of Number Theory. Mathematical Association of America (MAA), 2009.

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21

Renyi, A. Tagebuch über die Informationstheorie. Birkhäuser, 2014.

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22

Vajda, Steven. Fibonacci and Lucas Numbers, and the Golden Section: Theory and Applications. Dover Publications, 2007.

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23

Vajda, S. Fibonacci and Lucas Numbers and the Golden Section: Theory and Application (Ellis Horwood Series in Mathematics and Its Applications. Numerical Anal). Ellis Horwood Ltd, 1989.

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24

The Fibonacci-Elliott Theory of Stock Market Reversals as a Guide to the Capturing of Stock Market Profits. The Inst. for Economic & Financial Res., 1987.

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25

Seven Science Articles on Nanotechnology, Nanoscience, Chaos Theory, and MATLAB: Nanotechnology, Nanoscience, Chaos Theory, MATLAB, Solving Equations, Differential Equations, Fibonacci Numbers, Golden Ratio, and Regression Analysis. Independently Published, 2021.

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26

Mathematics of Harmony As a New Interdisciplinary Direction and Golden Paradigm of Modern Science - Volume 2: Algorithmic Measurement Theory, Fibonacci and Golden Arithmetic's and Ternary Mirror-Symmetrical Arithmetic. World Scientific Publishing Co Pte Ltd, 2020.

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27

Schumer, Peter D. Fractions. Oxford University PressOxford, 2024. http://dx.doi.org/10.1093/9780198916567.001.0001.

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Abstract This work details a great deal of the history and manifest forms of fractions within mathematics. Rational numbers are fractions having either a terminating or repeating decimal expansion. Determining their decimal expansions, as well as the period length of repeating decimals, is completely worked out. Modern base 10 decimal expansions are compared with ancient Babylonian base 60 sexagesimal expansions. This leads to the study of infinite sums, especially to geometric series and the notions of convergence and divergence. The Fibonacci numbers are studied along with the series for 1/8
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