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#### Measure and Integration

Springer Berlin Heidelberg 2009; US$ 129.00This 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$ 100.00This 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$ 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$ 119.00Proceedings of a conference held in Santa Barbara, California, May 20-22, 1993 more...

#### Eutocius d?Ascalon

De Gruyter 2014; US$ 154.00Eutocius 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... 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

World Scientific Publishing Company 2014; US$ 78.00The 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$ 56.00Contents: 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$ 102.00The 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$ 60.00This 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...