This is an excellent primer of a subject that should be given more time in the undergraduate curriculum. Continued fractions require a thought process that is different from many others, yet do not require sophisticated mathematics. Generally speaki
Continued fractions, studied since Ancient Greece, only became a powerful tool in the eighteenth century, in the hands of the great mathematician Euler. This book tells how Euler introduced the idea of orthogonal polynomials and combined the two sub
The book is essentially based on recent work of the authors. In order to unify and generalize the results obtained so far, new concepts have been introduced, e.g., an infinite order chain representation of the continued fraction expansion of irratio
This book is aimed at two kinds of readers: firstly, people working in or near mathematics, who are curious about continued fractions; and secondly, senior or graduate students who would like an extensive introduction to the analytic theory of conti
Special functions are pervasive in all fields of science and industry. The most well-known application areas are in physics, engineering, chemistry, computer science and statistics. Because of their importance, several books and websites (see for in
这本数学书里面有很多连分数公式 是一本好书This book is aimed at two kinds of readers: firstly, people working in or near mathematics, who are curious about continued fractions; and secondly, senior or graduate students who would like an extensive introduction to the ana
A Short Proof of the Simple Continued
Fraction Expansion of e()/()()()
()≤
()/()
++
()/()
()/()=()/()
)))))))
+
(
+
)/
()=()-"()-+"()
()-()-(
()
()/()
()-()
()=()+-()
()+-+"()
()/()
http://www.numdam.org
Continued fractions C. D Olds美国新数学丛书《连分数》的英文原版Illustrations by Carl Bass
Third Printing
C Copyright, 1963, by Yale University
All rights reserved under International and Pan-American Copyright
Conventions. Published in New York by Random House, Inc,
