41. Numbers And Functions As Continued Fractions - Numericana C. Stanley Ogilvy (19132000) Tomorrow's Math Unsolved Problems for the Amateur 1962-72 Oxford University Press (Second Edition, 1972), New York. http://www.numericana.com/answer/fractions.htm

home index units counting ... physics Final Answers , Ph.D. Continued Fractions What is a continued fraction ? Example: The expansion of p The convergents of a number are its best rational approximations. Large partial quotients allow very precise approximations. Regular patterns in the continued fractions of some irrational numbers. For almost all numbers Elementary operations on continued fractions ... Engel expansions of positive numbers are nondecreasing integer sequences. Pierce expansions of numbers from to 1. Strictly increasing sequences. On this site, see also : Modular Arithmetic Number Theory p-adic Arithmetic Related Links (Outside this Site) An Introduction to Continued Fractions by Ron Knott University of Surrey Continued Fractions by Adam Van Tuyl of Lakehead University Secret Life of Continued Fractions by John D. Barrow of Cambridge University Pianos and Continued Fractions by Edward G. Dunne AMS Generalized Continued Fractions Continued Fractions by Alexander Bogomolny at cut-the-knot.com. Families of Continued Fractions by Justin T. Miller of the University of Arizona Contfrac calculator ( WIMS Numbers and Functions as Continued Fractions What is a continued fraction?

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