Multidimensional Continued Fractions

By: Fritz Schweiger

Write A Review

Hardcover | 1 October 2000

At a Glance

Hardcover
244 Pages

Dimensions(cm)
23.6 x 16.3 x 2.2

Hardcover

RRP $652.00

$461.75

29%OFF

or 4 interest-free payments of $115.44 with

or

Ships in 5 to 7 business days

The book gives an up to date overview of various aspects of multidimensional continued fractions, which are here defined through iteration of piecewise fractional linear maps. This includes the algorithms of Jacobi-Perron, Güting, Brun, and Selmer but it also includes continued fractions on simplices which are related to interval exchange maps or the Parry-Daniels map. New classes of subtractive algorithms are also included and the metric properties of these algorithms can be therefore investigated by methods of ergodic theory. The recent connection between multiplicative ergodic theory and Diophantine approximation presented, as well as several results on convergence and Perron's approach to periodicity, which has never appeared in book despite being published in 1907. Further chapters include the basic properties of continued fractions in the complex plane, connections with Hausdorff dimension and the Kuzmin theory for multidimensional maps.

Industry Reviews

"It is thanks to F. Schweiger that the extensive literature on multidimensional continued fractions, especially those which can be described by fractional linear maps can now be seen from a more systematic point of view and it is thanks to the publishing company for having won a real expert for this
project. . .The book is very carefully written and indispensable for all experts working in this field."--
onatshefte Fuer Mathematik

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

More in Number Theory

Elements of Number Theory - Emanuel Patterson

$18.75

Multivariable Calculus Set Free : Infinitesimals Ride Again - ?? ???, C. Bryan Dawson

$23.75

53%
OFF

Representation Theory and C*-algebras

Hardcover

RRP $289.30

$288.75

Symmetries of Algebraic Varieties in Two and Three Dimensions

A Computational Approach

Hardcover

RRP $240.90

$240.75

Problems Of Number Theory In Mathematical Competitions

Mathematical Olympiad Series

Paperback

RRP $61.99

$55.99

10%
OFF

Chapman & Hall/CRC Cryptography and Network Security : Chapman & Hall/Crc Cryptography and Network Security - Jonathan Katz

$118.99

10%
OFF

Piecewise fractional linear maps
Brentjes' formalism
Ergodic theory of fibred systems
Jacobi-Perron algorithm
Basic definitions
Convergence results
Ergodic properties
Guting's algorithm
Subtractive version
Multiplicative acceleration
Selmer's algorithm
Subtractive version
The division algorithm
Generalized substractive algorithms
Fully subtractive algorithms
Skew products
Continued fractions on simplices
Fractional linear maps
Interval exchange transformations
The convergence method of Greiter
Periodic expansions
Convergence and rational dependence
Diophantine approximation
Exponents of approximation
Perron's identity
Results on convergence
The second Lyapunov exponent
Periodic Jacobi-Perron algorithms
Convergence for periodic expansions
Volume as a measure of approximation
Complex continued fractions
The Poincare alogrithm
Dimension of exceptional sets
Introduction
The Dirichlet series of a set
A Kuzmin theorem
Some applications
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

Multidimensional Continued Fractions

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Number Theory

Elements of Number Theory

Simply Maths

DK Simply

Multivariable Calculus Set Free

Infinitesimals Ride Again

Multivariable Calculus Set Free

Infinitesimals Ride Again

Introduction to Modern Cryptography

Revised Third Edition

Introduction to Mathematical Logic

Discrete Mathematics and Its Applications

Quasi-Projective and Formal-Analytic Arithmetic Surfaces

Annals of Mathematics Studies

Quasi-Projective and Formal-Analytic Arithmetic Surfaces

Annals of Mathematics Studies

Multiplicative Hitchin Fibrations and the Fundamental Lemma

Annals of Mathematics Studies

Multiplicative Hitchin Fibrations and the Fundamental Lemma

Annals of Mathematics Studies

From Christoffel Words to Markoff Numbers

Essays in Analytic Number Theory

In Honor of Helmut Maier's 70th Birthday

Numbers from all Angles

Delta-Invariant Theory for Hecke Correspondences

Lecture Notes in Mathematics

Splitting and Making Explicit the de Rham Complex of the Drinfeld Space

Lecture Notes in Mathematics

Generalized Heisenberg Groups and the Schrodinger-Weil Representation

Springer Asia Pacific Mathematics Series

Recent Advances in p-adic Hodge Theory

Simons Symposia

Combinatorial and Additive Number Theory VII

CANT, New York, USA, 2024 and 2025

Imo Problems, Theorems, And Methods

Number Theory

Representation Theory and C*-algebras

Symmetries of Algebraic Varieties in Two and Three Dimensions

A Computational Approach

Problems Of Number Theory In Mathematical Competitions

Mathematical Olympiad Series

Chapman & Hall/CRC Cryptography and Network Security

Chapman & Hall/Crc Cryptography and Network Security

From Numbers To Analysis

Constructions and Properties

This product is categorised by