Metrical Theory Of Some Continued Fraction Expansions
DOWNLOAD
AUDIOBOOK
READ ONLINE
Download Metrical Theory Of Some Continued Fraction Expansions PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Metrical Theory Of Some Continued Fraction Expansions book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Metrical Theory Of Some Continued Fraction Expansions
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Marius Iosifescu
language : en
Publisher:
Release Date : 2011
Metrical Theory Of Some Continued Fraction Expansions written by Marius Iosifescu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
Metrical Theory Of Continued Fractions
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : M. Iosifescu
language : en
Publisher: Springer
Release Date : 2014-03-14
Metrical Theory Of Continued Fractions written by M. Iosifescu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-14 with Mathematics categories.
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.
Metrical Theory Of Continued Fractions
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : M. Iosifescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Metrical Theory Of Continued Fractions written by M. Iosifescu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
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.
Continued Fractions
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : A. M. Rockett
language : en
Publisher: World Scientific
Release Date : 1992-08-01
Continued Fractions written by A. M. Rockett and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-08-01 with Mathematics categories.
This book presents the arithmetic and metrical theory of regular continued fractions and is intended to be a modern version of A. Ya. Khintchine's classic of the same title. Besides new and simpler proofs for many of the standard topics, numerous numerical examples and applications are included (the continued fraction of e, Ostrowski representations and t-expansions, period lengths of quadratic surds, the general Pell's equation, homogeneous and inhomogeneous diophantine approximation, Hall's theorem, the Lagrange and Markov spectra, asymmetric approximation, etc). Suitable for upper level undergraduate and beginning graduate students, the presentation is self-contained and the metrical results are developed as strong laws of large numbers.
Continued Fractions
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Andrew Mansfield Rockett
language : en
Publisher:
Release Date : 1992
Continued Fractions written by Andrew Mansfield Rockett and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Continued Fractions
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Lisa Lorentzen
language : en
Publisher: atlantis press
Release Date : 2008
Continued Fractions written by Lisa Lorentzen and has been published by atlantis press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Continued Fractions consists of two volumes -- Volume 1: Convergence Theory; and Volume 2: Representation of Functions (tentative title), which is expected in 2011. Volume 1 is dedicated to the convergence and computation of continued fractions, while Volume 2 will treat representations of meromorphic functions by continued fractions. Taken together, the two volumes will present the basic continued fractions theory without requiring too much previous knowledge; some basic knowledge of complex functions will suffice. Both new and advanced graduate students of continued fractions shall get a comprehensive understanding of how these infinite structures work in a number of applications, and why they work so well. A varied buffet of possible applications to whet the appetite is presented first, before the more basic but modernized theory is given.This new edition is the result of an increasing interest in computing special functions by means of continued fractions. The methods described in detail are, in many cases, very simple, yet reliable and efficient.
Analytic Theory Of Continued Fractions
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Hubert Stanley Wall
language : en
Publisher: Courier Dover Publications
Release Date : 2018-05-16
Analytic Theory Of Continued Fractions written by Hubert Stanley Wall and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-16 with Mathematics categories.
One of the most authoritative and comprehensive books on continued fractions, this monograph presents a unified theory correlating certain parts and applications of the subject within a larger analytic structure. 1948 edition.
Continued Fractions
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Doug Hensley
language : en
Publisher: World Scientific
Release Date : 2006
Continued Fractions written by Doug Hensley and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
This book is the first authoritative and up-to-date survey of the history of Iraq from earliest times to the present in any language. It presents a concise narrative of the rich and varied history of this land, drawing on political, social, economic, artistic, technological, and intellectual material. It also includes excerpts from works of ancient, medieval, and modern literature written in Iraq, some of which are translated for the first time into English. The final chapters provide an introduction to the history of archaeology in Iraq, set in the wider context of the development of archaeology into a scientific discipline. A special section highlights selected objects from the Iraq Museum, with emphasis on their cultural significance and current status in the aftermath of the looting in April 2003. The last chapter offers a unique guide to the complex international and national legal regimes for the protection of cultural heritage. The American-led invasion and occupation of Iraq are a turning point in Iraq's modern history, with important cultural consequences for all periods of its past. For all who seek to understand more fully the current situation, this book includes discussion of cultural and legal issues of the war and occupation, placing recent events in their full context.
Probability Theory And Mathematical Statistics
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Bronius Grigelionis
language : en
Publisher: VSP
Release Date : 1990
Probability Theory And Mathematical Statistics written by Bronius Grigelionis and has been published by VSP this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematical statistics categories.
Probability Theory And Mathematical Statistics Vol 1
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : B. Grigelionis
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-05-18
Probability Theory And Mathematical Statistics Vol 1 written by B. Grigelionis and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-18 with Mathematics categories.
No detailed description available for "GRIGELIONIS: PROCEEDINGS OF THE FIFTH VILNIUS CONFERE E-BOOK".