SEL Series Expansion and Generalized Model Construction for the Real Number System via Series of Rationals

We present an algorithm for constructing infinite series expansion for real numbers, which yields generalized versions of three famous series expansions, namely, Sylvester series, Engel series, and Lüroth series expansions. Using series of rationals, a generalized model for the real number system is...

Full description

Bibliographic Details
Main Authors: Patiwat Singthongla, Narakorn Rompurk Kanasri
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2014/654319