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

Vieweg+Teubner Verlag 2012; US$ 101.08Michael 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...

#### Algebraic Approximation: A Guide to Past and Current Solutions

Springer Basel 2011; US$ 50.45This book details results related with direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval. It also includes information on trigonometric approximation that are necessary for motivation and comparisons. more...

#### Travelling Mathematics - The Fate of Diophantos' Arithmetic

Springer Basel 2010; US$ 101.08This book offers a comprehensive study of Diophantos? Arithmetika , a unique book within the known Greek mathematical corpus whose author, Diophantos, is an enigmatic figure. It details the structure, contents and mathematics of the Arithmetika . more...

#### Probability Approximations and Beyond

Springer New York 2011; US$ 86.48In June 2010, a conference, Probability Approximations and Beyond , was held at the National University of Singapore (NUS), in honor of pioneering mathematician Louis Chen. Chen made the first of several seminal contributions to the theory and application of Stein?s method. One of his most important contributions has been to turn Stein?s concentration... more...

#### Introduction to Measure Theory and Integration

Scuola Normale Superiore 2012; US$ 24.24Based on an undergraduate course taught by the authors, this book puts Lebesgue's Euclidean space theory into a more general context and presents the basic applications to Fourier series, calculus and real analysis. Includes exercises with detailed solutions. more...

#### Advances in Differential Equations and Applications

Springer International Publishing 2014; US$ 84.23The book contains a selection of contributions given at the 23th Congress on Differential Equations and Applications (CEDYA) / 13th Congress of Applied Mathematics (CMA) that took place at Castellon, Spain, in 2013. CEDYA is renowned as the congress of the Spanish Society of Applied Mathematics (SEMA) and constitutes the main forum and meeting point... more...

#### Approximation Methods for Polynomial Optimization

Springer New York 2012; US$ 48.29Polynomial optimization have been a hot research topic for the past few years and its applications range from Operations Research, biomedical engineering, investment science, to quantum mechanics, linear algebra, and signal processing, among many others. In this brief the authors discuss some important subclasses of polynomial optimization models... more...

#### Fixed Point of the Parabolic Renormalization Operator

Springer International Publishing 2014; US$ 48.29This monograph grew out of the authors' efforts to provide a natural geometric description for the class of maps invariant under parabolic renormalization and for the Inou-Shishikura fixed point itself as well as to carry out a computer-assisted study of the parabolic renormalization operator. It introduces a renormalization-invariant class of analytic... more...

#### Dynamics of Information Systems: Mathematical Foundations

Springer New York 2012; US$ 168.47This book presents recent developments and results found by participants of the Third International Conference on the Dynamics of Information Systems, which took place at the University of Florida, Gainesville FL, USA on February 16-18, 2011. The purpose of this conference was to bring together scientists and engineers from industry, government, and... more...

#### Approximation Theory XIV: San Antonio 2013

Springer International Publishing 2014; US$ 146.01This volume developed from papers presented at the international conference Approximation Theory XIV, held April 7?10, 2013 in San Antonio, Texas. The proceedings contains surveys by invited speakers, covering topics such as splines on non-tensor-product meshes, Wachspress and mean value coordinates, curvelets and shearlets, barycentric interpolation,... more...