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#### Les "Arithmétiques" de Diophante

De Gruyter 2013; US$ 238.00Until 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...

#### Approximation, Probability, and Related Fields

Springer US 2012; US$ 100.72Proceedings of a conference held in Santa Barbara, California, May 20-22, 1993 more...

#### Fractional Calculus with Applications in Mechanics

Wiley 2014; US$ 187.00 US$ 162.07The books Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes and Fractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles contain various applications of fractional calculus to the fields of classical mechanics. Namely, the books study problems in fields such as viscoelasticity... more...

#### Measure theory and Integration

Elsevier Science 2003; US$ 89.95This text approaches integration via measure theory as opposed to measure theory via integration, an approach which makes it easier to grasp the subject. Apart from its central importance to pure mathematics, the material is also relevant to applied mathematics and probability, with proof of the mathematics set out clearly and in considerable detail.... more...

#### Fractional Calculus with Applications in Mechanics

Wiley 2014; US$ 182.00 US$ 157.73This book contains mathematical preliminaries in which basic definitions of fractional derivatives and spaces are presented. The central part of the book contains various applications in classical mechanics including fields such as: viscoelasticity, heat conduction, wave propagation and variational Hamilton–type principles. Mathematical rigor... more...

#### Fractional Calculus

World Scientific Publishing Company 2014; US$ 78.00 US$ 70.98The book presents a concise introduction to the basic methods and strategies in fractional calculus and enables the reader to catch up with the state of the art in this field as well as to participate and contribute in the development of this exciting research area. The contents are devoted to the application of fractional calculus to physical problems.... more...

#### Multivariate Approximation

World Scientific Publishing Company 1993; US$ 56.00 US$ 50.96Contents: Fast Algorithms for Simultaneous Polynomial Approximation (G Baszenski & M Tasche); α-Spline of Smoothing for Correlated Errors in Dimension Two (M Bozzini & L Lenarduzzi); New Developments in the Theory of Radial Basis Function Interpolation (M D Buhmann); Realization of Neural Networks with One Hidden Layer (C K Chui... more...

#### Approximation by Complex Bernstein and Convolution Type Operators

World Scientific Publishing Company 2009; US$ 102.00 US$ 92.82The monograph, as its first main goal, aims to study the overconvergence phenomenon of important classes of Bernstein-type operators of one or several complex variables, that is, to extend their quantitative convergence properties to larger sets in the complex plane rather than the real intervals. The operators studied are of the following types: Bernstein,... more...

#### Multi-parameter Singular Integrals. (AM-189), Volume I

Princeton University Press 2014; US$ 75.00 US$ 68.25This book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathéodory balls. Brian Street first details the classical theory of Calderón-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Carathéodory geometry, where the main... more...

#### Overconvergence in Complex Approximation

Springer New York 2014; US$ 100.72This monograph presents quantitative overconvergence results in complex approximation. It generalizes and extends the results for certain cases of the complex q-Bernstein operators. Each chapter includes notes and open problems. more...