Metrical Theory of Continued Fractions

Language: English

Published by Springer, Springer Sep 2002, 2002

1402008929 / 9781402008924

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This item is printed on demand - Print on Demand Titel. Neuware -This monograph is intended to be a complete treatment of the metrical the ory of the (regular) continued fraction expansion and related representations of real numbers. We have attempted to give the best possible results known so far, with proofs which are the simplest and most direct. The book has had a long gestation period because we first decided to write it in March 1994. This gave us the possibility of essentially improving the initial versions of many parts of it. Even if the two authors are different in style and approach, every effort has been made to hide the differences. Let 0 denote the set of irrationals in I = [0,1]. Define the (reg ular) continued fraction transformation T by T (w) = fractional part of n 1/w, w E O. Write T for the nth iterate of T, n E N = {O, 1, . }, n 1 with TO = identity map. The positive integers an(w) = al(T - (W)), n E N+ = {1,2 }, where al(w) = integer part of 1/w, w E 0, are called the (regular continued fraction) digits of w. Writing . for arbitrary indeterminates Xi, 1 :::; i :::; n, we have w = lim [al(w), , an(w)], w E 0, n--->oo thus explaining the name of T. The above equation will be also written as w = lim [al(w), a2(w), ], w E O.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 408 pp. Englisch.…

Title
Metrical Theory of Continued Fractions
Author
M. Iosifescu
Publisher
Springer, Springer Sep 2002
Publication year
2002
Condition
Neu
Binding
Buch
Language
English
ISBN 10
1402008929
ISBN 13
9781402008924
Item weight
776 grams
Dimensions
241x160x27 mm

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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Impressum Thorsten Retsch Buchversand Mimpf2000 Oberölschnitz 16 95517 Emtmannsberg Deutschland Telefon: 09209-2023188 Email: mimpf2000@online.de USt-ID-Nr.: DE 235096871 Wir führen gebrauchte Bücher aus allen Sparten der Literatur

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Buchversand Mimpf2000
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