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#### 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...

#### 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...

#### Measure and Integration

Springer 2009; US$ 89.95This book aims at restructuring some fundamentals in measure and integration theory and thus to free the theory from notorious drawbacks. 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... 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 the work as it... more...

#### Spectral and Dynamical Stability of Nonlinear Waves

Springer 2013; US$ 79.95This book unifies the dynamical systems and functional analysis approaches to the linear and nonlinear stability of waves. It synthesizes fundamental ideas of the past 20+ years of research, carefully balancing theory and application. The book isolates and methodically develops key ideas by working through illustrative examples that are subsequently... more...

#### Eutocius d?Ascalon

De Gruyter 2014; US$ 137.00Eutocius of Ascalon (4th cent. AD) accompanied his edition of the first four books of Apollonius of Perga's Konika with a commentary. His work is relevant to the history of conic sections and important for the textual transmission of Apollonius. This new critical edition contains the first translation into a modern language and complements the Graeco-Arabic... more...