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

Vieweg+Teubner Verlag 2012; US$ 105.07Michael A. Matt constructs two trivariate local Lagrange interpolation methods which yield optimal approximation order and C r macro-elements based on the Alfeld and the Worsey-Farin split of a tetrahedral partition. The first interpolation method is based on cubic C 1 splines over type-4 cube partitions, for which numerical tests are given. The... more...

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

Springer London 2010; US$ 101.56The major mathematical treatise by the towering Greek mathematician Pappus of Alexandria, the Collection, consists of eight volumes. This volume, the fourth, covers Hellenistic geometry from the point of view of mathematical methods and strategies. more...

#### Orthogonalität und Approximation

Vieweg+Teubner Verlag 2012; US$ 26.48Das 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. B. JPEG- und... more...

#### Advances in Applied Mathematics and Approximation Theory

Springer New York 2014; US$ 116.74Advances 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 topics such as ODEs,... more...

#### Exact Constants in Approximation Theory

Cambridge University Press 1991; US$ 64.00A 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$ 75.00 US$ 68.25The 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...

#### Measure and Integration

Springer Berlin Heidelberg 2009; US$ 99.23This book aims at restructuring some fundamentals in measure and integration theory. It centers around the ubiquitous task to produce appropriate contents and measures from more primitive data like elementary contents and elementary integrals. It develops the new approach started around 1970 by Topsoe and others into a systematic theory. The theory... more...

#### Methods of Shape-Preserving Spline Approximation

World Scientific Publishing Company 2000; US$ 100.00 US$ 91.00This 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...