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#### 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...

#### Fractional Calculus

World Scientific Publishing Company 2014; US$ 127.00The 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...

#### 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...

#### Multivariate Approximation

World Scientific Publishing Company 1993; US$ 151.00Contents: 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$ 167.00The 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...

#### Invariant Probabilities of Transition Functions

Springer 2014; US$ 129.00The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book. The results obtained are useful in ergodic theory and the theory of dynamical systems,... more...

#### Approximation Theory XIV: San Antonio 2013

Springer 2014; US$ 169.00These proceedings were prepared in connection with the 14th International Conference on Approximation Theory, which was held April 7-10, 2013 in San Antonio, Texas. The conference was the fourteenth in a series of meetings in Approximation Theory held at various locations in the United States. The included invited and contributed papers cover diverse... more...

#### Weakly Wandering Sequences in Ergodic Theory

Springer 2014; US$ 109.00The appearance of weakly wandering (ww) sets and sequences for ergodic transformations over half a century ago was an unexpected and surprising event. In time it was shown that ww and related sequences reflected significant and deep properties of ergodic transformations that preserve an infinite measure.This monograph studies in a systematic way the... more...

#### Advances in Computational Mathematics: New Delhi, India

World Scientific Publishing Company 1994; US$ 131.00Contents: Finite Elements for Kirchhoff and Mindlin-Reissner Plates (D Braess); A Multiscale Method for the Double Layer Potential Equation on a Polyhedron (W Dahmen et al); Shape Preserving GC 2 -Rational Cubic Splines (A Bhatt et al); Affine Operators and Frames of Multivariate Wavelets (C K Chui & X L Shi); Compressed Representations of Curves... more...