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#### The Ergodic Theory of Discrete Groups

Cambridge University Press 1989; US$ 74.00The particular focus of the book is on the remarkable measure supported on the limit set of a discrete group that was first developed by S. J. Patterson. more...

#### Ergodic Theory and Harmonic Analysis

Cambridge University Press 1995; US$ 75.00Tutorial 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...

#### Fractional Calculus with Applications in Mechanics

Wiley 2014; US$ 170.00This 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...

#### Measure theory and Integration

Elsevier Science 2003; US$ 85.00This 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...