FIBONACCI NUMBERS AND THEIR SIGNIFICANCE IN VARIOUS FIELDS

Authors

  • Nurmonova E’zoza Ulug`bek qizi. Author
  • Tog`ayev G`ofur Kamoliddin o’g’li. Author

Keywords:

Fibonacci numbers, recursion, algorithms, verification methods, programming, Leonardo, iterative method, financial modeling.

Abstract

Fibonacci numbers play a significant role in various branches of mathematics. This paper explores the properties of the Fibonacci sequence, methods for investigating them, and their practical applications. Additionally, an algorithmic approach to checking Fibonacci numbers using programming is presented. The study highlights the importance of Fibonacci numbers in natural processes, algorithms, and economics.

References

[1] Fibonacci, L. (1202). Liber Abaci. Pisa. [2] Knuth, D. E. (1997). The Art of Computer Programming: Seminumerical

Algorithms. Addison-Wesley.

[3] Koshy, T. (2001). Fibonacci and Lucas Numbers with Applications. Wiley.

[4] Hoggatt, V. (1969). Fibonacci and Lucas Numbers. Houghton Mifflin.

[5] Graham, R., Knuth, D., & Patashnik, O. (1994). Concrete Mathematics. Addison

Wesley.

[6] Vajda, S. (1989). Fibonacci & Lucas Numbers, and the Golden Section. Dover

Publications.

[7] Devlin, K. (2017). Finding Fibonacci: The Quest to Rediscover the Forgotten

Mathematical Genius. Princeton University Press.

[8] Posamentier, A. S., & Lehmann, I. (2007). The Fabulous Fibonacci Numbers.

Prometheus Books.

[9] Livio, M. (2002). The Golden Ratio: The Story of Phi, the World's Most Astonishing

Number. Broadway Books.

[10] Dunlap, R. A. (1997). The Golden Ratio and Fibonacci Numbers. World

Scientific.

Published

2025-03-04

How to Cite

FIBONACCI NUMBERS AND THEIR SIGNIFICANCE IN VARIOUS FIELDS. (2025). ОБРАЗОВАНИЕ НАУКА И ИННОВАЦИОННЫЕ ИДЕИ В МИРЕ, 64(4), 435-441. https://scientific-jl.com/obr/article/view/3981