Study of Farey Sequences

Authors

  • Apoorva Sharma

Keywords:

Farey Sequences, Geologist, properties and applications

Abstract

A Rational Number is one that is expressible as the quotient of two integers. Real numbers that are not rational are called irrational numbers. Farey Fractions give a useful classification of the rational numbers. The Farey Sequence (of counting fractions) has been of interest to modern Mathematicians since the 18th century. Farey Sequence has various properties and applications like clock-making and numerical approximations.

References

www.scopes.co.in.papers

www.cse.iitd.ernet.in/farey_icip_100525

An Introduction to the Theory of Numbers by Ivan Niven

The Farey Sequence project by Jonathan Ainsworth

https://en.m.wikipedia.org/wiki/Ford_circle

The Farey sequence and its Niche(s) by Zukin

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Published

2017-09-30

How to Cite

Sharma, A. (2017). Study of Farey Sequences. Universal Research Reports, 4(3), 12–14. Retrieved from https://urr.shodhsagar.com/index.php/j/article/view/112

Issue

Vol. 4 No. 3 (2017): Volume 4 | Issue 3 | 2017

Section

Original Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.