Origin of Irrational Numbers and Their Approximations

作者: Ravi P. Agarwal , Hans Agarwal

DOI: 10.3390/COMPUTATION9030029

关键词:

摘要: … Thus, this large set contains all decimal representations of numbers terminating, repeating, … kind of irrational number, which lead to transcendental numbers (not the roots of nonzero …

参考文章(14)
George Gheverghese Joseph, The crest of the peacock ,(1991)
Sanjay K. Khattri, Syamal K. Sen, Ravi P. Agarwal, COMPUTATIONAL PITFALLS OF HIGH-ORDER METHODS FOR NONLINEAR EQUATIONS Journal of applied mathematics & informatics. ,vol. 30, pp. 395- 411 ,(2012) , 10.14317/JAMI.2012.30.3_4.395
Otto Toeplitz, Hans Rademacher, The Enjoyment of Math ,(1966)
E B Davies, Archimedes' calculations of square roots arXiv: History and Overview. ,(2011)
David Fowler, Eleanor Robson, Square Root Approximations in Old Babylonian Mathematics: YBC 7289 in Context Historia Mathematica. ,vol. 25, pp. 366- 378 ,(1998) , 10.1006/HMAT.1998.2209
Luigi Borzacchini, Incommensurability, Music and Continuum: A Cognitive Approach Archive for History of Exact Sciences. ,vol. 61, pp. 273- 302 ,(2007) , 10.1007/S00407-007-0125-0
S.K. Sen, Ravi P. Agarwal, Raffaella Pavani, Best k-digit rational bounds for irrational numbers: Pre- and super-computer era Mathematical and Computer Modelling. ,vol. 49, pp. 1465- 1482 ,(2009) , 10.1016/J.MCM.2008.04.009
Tom M. Apostol, Irrationality of The Square Root of Two—A Geometric Proof American Mathematical Monthly. ,vol. 107, pp. 841- 842 ,(2000) , 10.1080/00029890.2000.12005280
Ravi P Agarwal, Hans Agarwal, Syamal K Sen, Birth, growth and computation of pi to ten trillion digits Advances in Difference Equations. ,vol. 2013, pp. 100- ,(2013) , 10.1186/1687-1847-2013-100