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Relevant bibliographies by topics / Fibonacci, Leonardo, Fibonacci numbers

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Academic literature on the topic 'Fibonacci, Leonardo, Fibonacci numbers'

Author: Grafiati

Published: 4 June 2021

Last updated: 12 February 2022

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Journal articles on the topic "Fibonacci, Leonardo, Fibonacci numbers"

1

Bonda, Moreno. "Modal Difficulty in Medieval Literature Analysis: the Frame-Notation Correlation in Dante’s Quotations of Fibonacci." Aktuālās problēmas literatūras un kultūras pētniecībā: rakstu krājums, no. 26/2 (March 11, 2021): 106–21. http://dx.doi.org/10.37384/aplkp.2021.26-2.106.

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The investigation of medieval literature poses a number of challenges, even to native speaker researchers. Such difficulties are related to (a) linguistic – syntactical and lexical – obstacles, (b) to the ability to recognise dense networks of interdisciplinary references and, (c) mainly to the cognitive challenges posed by “unfamiliar modes of expression”. The aim of this research is to discuss a methodological approach to deal with these unusual manners of composition, technically known as modal difficulty, in medieval literature. The theoretic setting is represented by Davide Castiglione’s

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Howard, Fredric T. "Fibonacci numbers." Mathematical Intelligencer 26, no. 1 (2004): 65. http://dx.doi.org/10.1007/bf02985406.

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Han, Jeong, Hee Kim, and Joseph Neggers. "On Fibonacci functions with Fibonacci numbers." Advances in Difference Equations 2012, no. 1 (2012): 126. http://dx.doi.org/10.1186/1687-1847-2012-126.

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Laugier, Alexandre, and Manjil P. Saikia. "Some Properties of Fibonacci Numbers, Generalized Fibonacci Numbers and Generalized Fibonacci Polynomial Sequences." Kyungpook mathematical journal 57, no. 1 (2017): 1–84. http://dx.doi.org/10.5666/kmj.2017.57.1.1.

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Wituła, Roman, та Damian Słota. "δ-Fibonacci numbers". Applicable Analysis and Discrete Mathematics 3, № 2 (2009): 310–29. http://dx.doi.org/10.2298/aadm0902310w.

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The scope of the paper is the definition and discussion of the polynomial generalizations of the Fibonacci numbers called here ?-Fibonacci numbers. Many special identities and interesting relations for these new numbers are presented. Also, different connections between ?-Fibonacci numbers and Fibonacci and Lucas numbers are proven in this paper.

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Safran, Charles. "The Fibonacci Numbers." CHANCE 5, no. 1-2 (1992): 43–46. http://dx.doi.org/10.1080/09332480.1992.11882462.

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Gómez Ruiz, Carlos Alexis, and Florian Luca. "Fibonacci factoriangular numbers." Indagationes Mathematicae 28, no. 4 (2017): 796–804. http://dx.doi.org/10.1016/j.indag.2017.05.002.

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Ma, Yuankui, and Wenpeng Zhang. "Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers." Mathematics 6, no. 12 (2018): 334. http://dx.doi.org/10.3390/math6120334.

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The aim of this paper is to research the structural properties of the Fibonacci polynomials and Fibonacci numbers and obtain some identities. To achieve this purpose, we first introduce a new second-order nonlinear recursive sequence. Then, we obtain our main results by using this new sequence, the properties of the power series, and the combinatorial methods.

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Došlić, Tomišlać. "Fibonacci in Hogwarts?" Mathematical Gazette 87, no. 510 (2003): 432–36. http://dx.doi.org/10.1017/s0025557200173607.

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An elementary algebraic problem attributed to Leonardo of Pisa is analysed and some illogical elements in its formulation and solution are exposed. The natural context in which the problem was formulated is then proposed, and some consequences are discussed.How many times have you heard that somebody is a wizard? And how many times did you take it literally? Most likely, the answer to the second question is ‘never’. And yet, there are reasons to believe that some people among us are real wizards, of the kind described with so much charm in the recently published series of books on Harry Potter

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Shannon, Anthony G., Özgür Erdağ, and Ömür Deveci. "On the connections between Pell numbers and Fibonacci p-numbers." Notes on Number Theory and Discrete Mathematics 27, no. 1 (2021): 148–60. http://dx.doi.org/10.7546/nntdm.2021.27.1.148-160.

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In this paper, we define the Fibonacci–Pell p-sequence and then we discuss the connection of the Fibonacci–Pell p-sequence with the Pell and Fibonacci p-sequences. Also, we provide a new Binet formula and a new combinatorial representation of the Fibonacci–Pell p-numbers by the aid of the n-th power of the generating matrix of the Fibonacci–Pell p-sequence. Furthermore, we derive relationships between the Fibonacci–Pell p-numbers and their permanent, determinant and sums of certain matrices.

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Dissertations / Theses on the topic "Fibonacci, Leonardo, Fibonacci numbers"

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Leonesio, Justin Michael. "Fascinating characteristics and applications of the Fibonacci sequence /." Lynchburg, VA : Liberty University, 2007. http://digitalcommons.liberty.edu.

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Almeida, Edjane Gomes dos Santos. "Propriedades e generalizações dos números de Fibonacci." Universidade Federal da Paraíba, 2014. http://tede.biblioteca.ufpb.br:8080/handle/tede/7658.

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Santos, Alberto Tadeu Acaiaba dos. "Das "trevas" à luz de Fibonacci: uma visão histórica." Pontifícia Universidade Católica de São Paulo, 2009. https://tede2.pucsp.br/handle/handle/13439.

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Made available in DSpace on 2016-04-28T14:16:42Z (GMT). No. of bitstreams: 1 Alberto Tadeu Acaiaba dos Santos.pdf: 1898301 bytes, checksum: dff408eb33e28cabba94fce850811da9 (MD5) Previous issue date: 2009-10-15<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>The contribution of Leonardo de Pisa for the commercial mathematics of XIII century, from the publication of the Líber Abacci and the spreading of the hindu arabian numbers in the Europe in substitution to the Roman numbers, thus facilitating the commercial transactions between the peoples after the opening of the por

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Meinke, Ashley Marie. "Fibonacci Numbers and Associated Matrices." Kent State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=kent1310588704.

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Salter, Ena. "Fibonacci vectors." [Tampa, Fla.] : University of South Florida, 2005. http://purl.fcla.edu/fcla/etd/SFE0001244.

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Edson, Marcia Ruth Zamboni Luca Quardo. "Around the Fibonacci numeration system." [Denton, Tex.] : University of North Texas, 2007. http://digital.library.unt.edu/permalink/meta-dc-3676.

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Fransson, Jonas. "Generalized Fibonacci Series Considered modulo n." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-26844.

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In this thesis we are investigating identities regarding Fibonacci sequences. In particular we are examiningthe so called Pisano period, which is the period for the Fibonacci sequence considered modulo n to repeatitself. The theory shows that it suces to compute Pisano periods for primes. We are also looking atthe same problems for the generalized Pisano period, which can be described as the Pisano period forthe generalized Fibonacci sequence.

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Heberle, Curtis. "A Combinatorial Approach to $r$-Fibonacci Numbers." Scholarship @ Claremont, 2012. https://scholarship.claremont.edu/hmc_theses/34.

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In this paper we explore generalized “$r$-Fibonacci Numbers” using a combinatorial “tiling” interpretation. This approach allows us to provide simple, intuitive proofs to several identities involving $r$-Fibonacci Numbers presented by F.T. Howard and Curtis Cooper in the August, 2011, issue of the Fibonacci Quarterly. We also explore a connection between the generalized Fibonacci numbers and a generalized form of binomial coefficients.

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Edson, Marcia Ruth. "Around the Fibonacci Numeration System." Thesis, University of North Texas, 2007. https://digital.library.unt.edu/ark:/67531/metadc3676/.

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Let 1, 2, 3, 5, 8, … denote the Fibonacci sequence beginning with 1 and 2, and then setting each subsequent number to the sum of the two previous ones. Every positive integer n can be expressed as a sum of distinct Fibonacci numbers in one or more ways. Setting R(n) to be the number of ways n can be written as a sum of distinct Fibonacci numbers, we exhibit certain regularity properties of R(n), one of which is connected to the Euler φ-function. In addition, using a theorem of Fine and Wilf, we give a formula for R(n) in terms of binomial coefficients modulo two.

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Silva, Bruno Astrolino e. "Números de Fibonacci e números de Lucas." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/55/55136/tde-03032017-143706/.

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Neste trabalho, exploramos os números de Fibonacci e de Lucas. A maioria dos resultados históricos sobre esses números são apresentados e provados. Ao longo do texto, um grande número de identidades a respeito dos números de Fibonacci e de Lucas são mostradas válidas para todos os inteiros. Sequências generalizadas de Fibonacci, a relação entre os números de Fibonacci e de Lucas com as raízes da equação x2 -x -1 = 0 e a conexão entre os números de Fibonacci e de Lucas com uma classe de matrizes em M2(R) são também exploradas.<br>In this work we explore the Fibonacci and Lucas numbers. The majo

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Books on the topic "Fibonacci, Leonardo, Fibonacci numbers"

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D'Agnese, Joseph. Blockhead the story of Fibonacci. Henry Holt, 2010.

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Vorobiev, Nicolai N. Fibonacci Numbers. Birkhäuser Basel, 2002.

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Fibonacci numbers. Birkhäuser Verlag, 2002.

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Vorobiev, Nicolai N. Fibonacci Numbers. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8107-4.

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N, Vorobʹev N. Fibonacci numbers. Dover Publications, 2011.

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illustrator, Wald Christina, ed. Fibonacci Zoo. Arbordale Publishing, 2015.

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Bergum, Gerald E., Andreas N. Philippou, and Alwyn F. Horadam, eds. Applications of Fibonacci Numbers. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-009-0223-7.

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Bergum, G. E., A. N. Philippou, and A. F. Horadam, eds. Applications of Fibonacci Numbers. Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3586-3.

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Philippou, A. N., A. F. Horadam, and G. E. Bergum, eds. Applications of Fibonacci Numbers. Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-015-7801-1.

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Howard, Fredric T., ed. Applications of Fibonacci Numbers. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4271-7.

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Book chapters on the topic "Fibonacci, Leonardo, Fibonacci numbers"

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Peters, Gunthild. "Fibonacci, Leonardo." In Encyclopedia of Renaissance Philosophy. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-02848-4_63-1.

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Peters, Gunthild. "Fibonacci, Leonardo." In Encyclopedia of Renaissance Philosophy. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-02848-4_63-2.

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Peters, Gunthild. "Fibonacci, Leonardo." In Encyclopedia of Renaissance Philosophy. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-02848-4_63-3.

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Lovász, L., J. Pelikán, and K. Vesztergombi. "Fibonacci Numbers." In Discrete Mathematics. Springer New York, 2003. http://dx.doi.org/10.1007/0-387-21777-0_4.

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Vorobiew, Nicolai N. "Introduction." In Fibonacci Numbers. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8107-4_1.

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Vorobiew, Nicolai N. "The Simplest Properties of Fibonacci Numbers." In Fibonacci Numbers. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8107-4_2.

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Vorobiew, Nicolai N. "Number-Theoretic Properties of Fibonacci Numbers." In Fibonacci Numbers. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8107-4_3.

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Vorobiew, Nicolai N. "Fibonacci Numbers and Continued Fractions." In Fibonacci Numbers. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8107-4_4.

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Vorobiew, Nicolai N. "Fibonacci Numbers and Geometry." In Fibonacci Numbers. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8107-4_5.

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Vorobiew, Nicolai N. "Fibonacci Numbers and Search Theory." In Fibonacci Numbers. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8107-4_6.

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Conference papers on the topic "Fibonacci, Leonardo, Fibonacci numbers"

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Rubio-Sánchez, Manuel, and Isidoro Hernán-Losada. "Exploring recursion with fibonacci numbers." In the 12th annual SIGCSE conference. ACM Press, 2007. http://dx.doi.org/10.1145/1268784.1268931.

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Agaian, Sarkis. "Generalized Fibonacci numbers and applications." In 2009 IEEE International Conference on Systems, Man and Cybernetics - SMC. IEEE, 2009. http://dx.doi.org/10.1109/icsmc.2009.5346744.

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Elsner, Carsten, Shun Shimomura, Iekata Shiokawa, and Takao Komatsu. "Reciprocal sums of Fibonacci numbers." In DIOPHANTINE ANALYSIS AND RELATED FIELDS: DARF 2007/2008. AIP, 2008. http://dx.doi.org/10.1063/1.2841913.

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Timofeev, Evgeniy A., and Alexei Kaltchenko. "Entropy estimation and Fibonacci numbers." In SPIE Defense, Security, and Sensing, edited by Harold H. Szu. SPIE, 2013. http://dx.doi.org/10.1117/12.2016140.

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LU, W. T., and F. Y. WU. "GENERALIZED FIBONACCI NUMBERS AND DIMER STATISTICS." In In Celebration of the 80th Birthday of C N Yang. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812791207_0026.

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Fallahpour, Mehdi, and David Megias. "Robust Audio Watermarking Based on Fibonacci Numbers." In 2014 10th International Conference on Mobile Ad-Hoc and Sensor Networks (MSN). IEEE, 2014. http://dx.doi.org/10.1109/msn.2014.58.

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Shu, Huang. "Generalization of Dedekind Sums Involving Fibonacci Numbers." In 2010 International Conference on Web Information Systems and Mining (WISM). IEEE, 2010. http://dx.doi.org/10.1109/wism.2010.88.

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Kulaç, Yıldız, and Murat Tosun. "Some equations on p− complex Fibonacci numbers." In 6TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2017). Author(s), 2018. http://dx.doi.org/10.1063/1.5020473.

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Niromand, Atefeh, and Azam Niroomand. "The security price movements with Fibonacci series numbers." In 2016 10th International Conference on e-Commerce in Developing Countries: with focus on e-Tourism (ECDC). IEEE, 2016. http://dx.doi.org/10.1109/ecdc.2016.7492970.

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Zou, Jiancheng, Dongxu Qi, and Rabab K. Ward. "A novel watermarking method based on Fibonacci numbers." In the 2006 ACM international conference. ACM Press, 2006. http://dx.doi.org/10.1145/1128923.1128981.

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