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Heights of Polynomials and Entropy in Algebraic Dynamics, Graham Everest; Thomas Ward


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Автор: Graham Everest; Thomas Ward
Название:  Heights of Polynomials and Entropy in Algebraic Dynamics
ISBN: 9781849968546
Издательство: Springer
Классификация: ISBN-10: 1849968543
Обложка/Формат: Paperback
Страницы: 212
Вес: 0.32 кг.
Дата издания: 19.10.2010
Серия: Universitext
Язык: English
Размер: 234 x 156 x 12
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Arithmetic geometry and algebraic dynamical systems are flourishing areas of mathematics. Both subjects have highly technical aspects, yet both of- fer a rich supply of down-to-earth examples. Both have much to gain from each other in techniques and, more importantly, as a means for posing (and sometimes solving) outstanding problems. It is unlikely that new graduate students will have the time or the energy to master both. This book is in- tended as a starting point for either topic, but is in content no more than an invitation. We hope to show that a rich common vein of ideas permeates both areas, and hope that further exploration of this commonality will result. Central to both topics is a notion of complexity. In arithmetic geome- try height measures arithmetical complexity of points on varieties, while in dynamical systems entropy measures the orbit complexity of maps. The con- nections between these two notions in explicit examples lie at the heart of the book. The fundamental objects which appear in both settings are polynomi- als, so we are concerned principally with heights of polynomials. By working with polynomials rather than algebraic numbers we avoid local heights and p-adic valuations.


Symmetric Functions and Hall Polynomials

Автор: Macdonald I. G.
Название: Symmetric Functions and Hall Polynomials
ISBN: 0198739125 ISBN-13(EAN): 9780198739128
Издательство: Oxford Academ
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Цена: 8554.00 р.
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Описание: Reissued in the Oxford Classical Texts, this acclaimed second edition is nowadays the key resource on Macdonald polynomials, important for many research mathematicians.

Orthogonal Polynomials for Exponential Weights

Автор: Eli Levin; Doron S. Lubinsky
Название: Orthogonal Polynomials for Exponential Weights
ISBN: 1461265630 ISBN-13(EAN): 9781461265634
Издательство: Springer
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Цена: 6986.00 р.
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Описание: The analysis of orthogonal polynomials associated with general weights has been a major theme in classical analysis this century. The use of potential theory since the early 1980s had a dramatic influence on the development of orthogonal polynomials associated with weights on the real line. For many applications of orthogonal polynomials, for example in approximation theory and numerical analysis, it is not asymptotics but certain bounds that are most important. In this monograph, the authors define and discuss their classes of weights, state several of their results on Christoffel functions, Bernstein inequalities, restricted range inequalities, and record their bounds on the orthogonal polynomials as well as their asymptotic results. This book will be of interest to researchers in approximation theory and potential theory, as well as in some branches of engineering.

Bessel Polynomials

Автор: E. Grosswald
Название: Bessel Polynomials
ISBN: 3540091041 ISBN-13(EAN): 9783540091042
Издательство: Springer
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Цена: 3492.00 р.
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Mathematical Tables Part-Volume A: Legendre Polynomials

Автор: For The Calculation of Mathematical Tables
Название: Mathematical Tables Part-Volume A: Legendre Polynomials
ISBN: 1316611949 ISBN-13(EAN): 9781316611944
Издательство: Cambridge Academ
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Цена: 1899.00 р.
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Описание: Originally published in 1946, this book contains a series of tables of Legendre polynomials, created to meet the needs of researchers in various branches of mathematics and physics. The tables were largely designed by Leslie John Comrie (1893-1950), an astronomer who was integral to the development of mechanical computation.

Differential and Difference Dimension Polynomials

Автор: Alexander V. Mikhalev; A.B. Levin; E.V. Pankratiev
Название: Differential and Difference Dimension Polynomials
ISBN: 0792354842 ISBN-13(EAN): 9780792354840
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Difference algebra arises from the study of algebraic difference equations and therefore bears a considerable resemblance to its differential counterpart. This monograph is devoted to the investigation of differential and difference dimension theory.

Positive Polynomials, Convex Integral Polytopes, and a Random Walk Problem

Автор: David E. Handelman
Название: Positive Polynomials, Convex Integral Polytopes, and a Random Walk Problem
ISBN: 3540184007 ISBN-13(EAN): 9783540184003
Издательство: Springer
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Цена: 3487.00 р.
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Описание: Emanating from the theory of C*-algebras and actions of tori theorem, this book discusses the problems that are outgrowths of random walk problems on lattices.

Asymptotics for Orthogonal Polynomials

Автор: Walter Van Assche
Название: Asymptotics for Orthogonal Polynomials
ISBN: 3540180230 ISBN-13(EAN): 9783540180234
Издательство: Springer
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Цена: 5583.00 р.
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Описание: Presents some results involving the asymptotic behaviour of orthogonal polynomials when the degree tends to infinity, assuming only a basic knowledge of real and complex analysis. This monograph provides an extensive treatment for orthogonal polynomials on a compact set and on an unbounded set.

Hilbert Space, Boundary Value Problems and Orthogonal Polynomials

Автор: Allan M. Krall
Название: Hilbert Space, Boundary Value Problems and Orthogonal Polynomials
ISBN: 3034894597 ISBN-13(EAN): 9783034894593
Издательство: Springer
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Цена: 11179.00 р.
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Описание: The following tract is divided into three parts: Hilbert spaces and their (bounded and unbounded) self-adjoint operators, linear Hamiltonian systemsand their scalar counterparts and their application to orthogonal polynomials.

Applications and Computation of Orthogonal Polynomials

Автор: Walter Gautschi; Gene H. Golub; Gerhard Opfer
Название: Applications and Computation of Orthogonal Polynomials
ISBN: 3034897286 ISBN-13(EAN): 9783034897280
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This volume contains a collection of papers dealing with applications of orthogonal polynomials and methods for their computation, of interest to a wide audience of numerical analysts, engineers, and scientists. The applications address problems in applied mathematics as well as problems in engineering and the sciences.

Orthogonal Polynomials of Several Variables

Автор: Dunkl
Название: Orthogonal Polynomials of Several Variables
ISBN: 1107071895 ISBN-13(EAN): 9781107071896
Издательство: Cambridge Academ
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Цена: 21226.00 р.
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Описание: Serving both as an introduction to the subject and as a reference, this book covers the general theory and emphasizes the classical types of orthogonal polynomials, or those of Gaussian type. Containing 25% brand new material, this revised edition reflects progress made in the field over the past decade.

Interpolation and Approximation by Polynomials

Автор: George M. Phillips
Название: Interpolation and Approximation by Polynomials
ISBN: 1441918108 ISBN-13(EAN): 9781441918109
Издательство: Springer
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Цена: 10475.00 р.
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Описание: In addition to coverage of univariate interpolation and approximation, the text includes material on multivariate interpolation and multivariate numerical integration, a generalization of the Bernstein polynomials that has not previously appeared in book form, and a greater coverage of Peano kernel theory than is found in most textbooks.


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