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#### Pappus of Alexandria: Book 4 of the Collection

Springer 2010; US$ 139.00Although not so well known today, Book 4 of Pappus' Collection is one of the most important and influential mathematical texts from antiquity. The mathematical vignettes form a portrait of mathematics during the Hellenistic "Golden Age", illustrating central problems - for example, squaring the circle; doubling the cube; and trisecting... more...

#### Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness

Springer 2012; US$ 109.00Michael A. Matt constructs two trivariate local Lagrange interpolation methods which yield optimal approximation order and Cr macro-elements based on the Alfeld and the Worsey-Farin split of a tetrahedral partition. The first interpolation method is based on cubic C1 splines over type-4 cube partitions, for which numerical tests are given. The second... more...

#### Orthogonalität und Approximation

Springer 2012; US$ 39.95Das Buch macht am Beispiel der Bestimmung guter Näherungen durch Entwicklung über Orthogonalbasen deutlich, wie universell und erfolgreich der Blick auf grundlegende Strukturen in der Mathematik sein kann: Dieselbe Theorie, die im dreidimensionalen Raum Abstände berechnen hilft, steckt hinter modernen Formen der Signalverarbeitung (z.... more...

#### Advances in Applied Mathematics and Approximation Theory

Springer 2013; US$ 169.00Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012 is a collection of the best articles presented at “Applied Mathematics and Approximation Theory 2012,” an international conference held in Ankara, Turkey, May 17-20, 2012. This volume brings together key work from authors in the field covering... more...

#### Exact Constants in Approximation Theory

Cambridge University Press 1991; US$ 80.00A self-contained introduction for non-specialists, or a reference work for experts, on the area of approximation theory concerned with exact constants. more...

#### The Ergodic Theory of Discrete Groups

Cambridge University Press 1989; US$ 84.00The particular focus of the book is on the remarkable measure supported on the limit set of a discrete group that was first developed by S. J. Patterson. more...

#### Ergodic Theory and Harmonic Analysis

Cambridge University Press 1995; US$ 84.00Tutorial survey papers on important areas of ergodic theory, with related research papers. more...

#### The Theory of the Denjoy Integral and Some Applications

World Scientific Publishing Company 1989; US$ 122.00The Denjoy integral has not found many applications in analysis. Such applications as have been made are due mainly to authors of this book. The original papers are in difficult to obtain Soviet journals. This translation makes this important work available to wider audience and shows for the first time in English that the Denjoy integral has applications... more...

#### Methods of Shape-Preserving Spline Approximation

World Scientific Publishing Company 2000; US$ 163.00This book aims to develop algorithms of shape-preserving spline approximation for curves/surfaces with automatic choice of the tension parameters. The resulting curves/surfaces retain geometric properties of the initial data, such as positivity, monotonicity, convexity, linear and planar sections. The main tools used are generalized tension splines... more...

#### Les "Arithmétiques" de Diophante

De Gruyter 2013; US$ 210.00Until recently, only six of thirteen books comprising Diophantus? Arithmetica were known to us. Four other books in an Arabic translation have been discovered recently. We can now understand the organization of this work and its long-lasting impact on mathematics. The present book offers the first historical and mathematical study of... more...