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#### HENSTOCK-KURZWEIL INTEGRATION ON EUCLIDEAN SPACES

World Scientific Publishing Company 2011; US$ 82.00The Henstock–Kurzweil integral, which is also known as the generalized Riemann integral, arose from a slight modification of the classical Riemann integral more than 50 years ago. This relatively new integral is known to be equivalent to the classical Per more...

#### RANDOM AND VECTOR MEASURES

World Scientific Publishing Company 2011; US$ 129.00The book is devoted to the structural analysis of vector and random (or both) valued countably additive measures, and used for integral representations of random fields. The spaces can be Banach or Frechet types. Several stationary aspects and related processes are analyzed whilst numerous new results are included and many research avenues are opened... more...

#### Kurzweil – Henstock Integral in Riesz Spaces

Bentham Science Publishers 2010; US$ 69.00This Ebook is concerned with both the theory of the Kurzweil-Henstock integral and the basic facts on Riesz spaces. Moreover, even the so-called Šipoš integral, which has several applications in economy, is illustrated. The aim of this Ebook is two-fold. First, it can be understood as an introductory textbook to the Kurzweil-Henstock integral... more...

#### The Integral

Morgan & Claypool Publishers 2011; US$ 35.00This book treats all of the most commonly used theories of the integral. After motivating the idea of integral, we devote a full chapter to the Riemann integral and the next to the Lebesgue integral. Another chapter compares and contrasts the two theories. The concluding chapter offers brief introductions to the Henstock integral, the Daniell integral,... more...

#### Algèbre

Springer Berlin Heidelberg 2012; US$ 54.99Ce huitième chapitre du Livre d'Algèbre, deuxième Livre des Éléments de mathématique, est consacré à l'étude de certaines classes d'anneaux et des modules sur ces anneaux. Il couvre les notions de module et d'anneau noethérien et artinien, ainsi que celle de radical. Ce chapitre décrit également la structure des anneaux semi-simples. Nous y donnons... more...

#### Introduction to Measure Theory and Integration

Scuola Normale Superiore 2012; US$ 29.95Based 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...

#### Edmond Halley?s Reconstruction of the Lost Book of Apollonius?s Conics

Springer New York 2011; US$ 139.00Comprised of eight books, Apollonius?s Conics was one of the greatest works of advanced mathematics in antiquity. This volume provides the first complete English translation of Edmond Halley?s reconstruction of Book VIII with supplementary notes on the text. more...

#### Young Measures and Compactness in Measure Spaces

De Gruyter 2012; US$ 210.00Many problems in science can be formulated in the language of optimization theory, in which case an optimal solution or the best response to a particular situation is required. In situations of interest, such classical optimal solutions are lacking, or at least, the existence of such solutions is far from easy to prove. So, non-convex... more...

#### Fractional Calculus

World Scientific Publishing Company 2012; US$ 111.00The subject of fractional calculus and its applications (that is, convolution-type pseudo-differential operators including integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, mainly due to its applications in diverse fields of science and engineering.... more...

#### The Tangled Origins of the Leibnizian Calculus

World Scientific Publishing Company 2012; US$ 88.00This book is a detailed study of Gottfried Wilhelm Leibniz's creation of calculus from 1673 to the 1680s. We examine and analyze the mathematics in several of his early manuscripts as well as various articles published in the Acta Eruditorum. It studies some of the other lesser known “calculi” Leibniz created such as the Analysis Situs,... more...