The Addition and Subtraction Operations for two Continued Fractions
Abstract
The continued fractions (C.F.) with positive non integer numerators are considered. The addition and subtraction operations of two continued fractions are discovered. Many definitions and examples that we used of these low are presented.
Downloads
References
[2] Burton, D. M. (2006). "Elementary number theory". Tata McGraw-Hill Education.
[3] Greene, J., & Schmieg, J. (2017). "Continued Fractions with Non-Integer Numerators". J. Integer Seq., 20(1), 17-1.
[4] Hardy, G. H., Wright, E. M., Heath-Brown, R., Silverman, J., & Wiles, A. (2008). "An Introduction to the Theory of Numbers". Oxford University Press.
[5] LeVeque, W. J. (2014). "Fundamentals of Number Theory". Courier Corporation.
[6] Mugassabi S. and Amsheri S. (2020) . ''The Multiplication and Division of Simple Continued Fractions''. IJISM International Journal of Innovation in Science and Mathematics 8 (3): (2020) 2347–9051.
[7] Mugassabi, Souad I., and A. S. Elmabrok. (2019). "The Power of Simple Continued Fractions." EPH-International Journal of Applied Science (ISSN: 2208-2182) 1.1: 824-833.
[8] Mugassabi S. and Mistiri F. (2015). ''The Elementary Arithmetic Operators of Continued Fractions''. Am-Euras. J. Sci.Res.,10 (5): 251 - 263.
[9] C.D. Olds. (1963). ''Continued Fractions''. 5th Edition, New York: Random House, Inc.
Copyright (c) 2020 GPH - International Journal of Mathematics →
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Author(s) and co-author(s) jointly and severally represent and warrant that the Article is original with the author(s) and does not infringe any copyright or violate any other right of any third parties, and that the Article has not been published elsewhere. Author(s) agree to the terms that the GPH Journal will have the full right to remove the published article on any misconduct found in the published article.