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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...

#### 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...

#### Approximation Theory XIII: San Antonio 2010

Springer New York 2011; Not AvailableThese proceedings were prepared in connection with the international conference Approximation Theory XIII, which was held March 7?10, 2010 in San Antonio, Texas. The conference was the thirteenth in a series of meetings in Approximation Theory held at various locations in the United States. Along with the many plenary speakers, the contributors to... 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...

#### Probability Approximations and Beyond

Springer New York 2011; Not AvailableIn June 2010, a conference, Probability Approximations and Beyond , was held at the National University of Singapore (NUS), in honor of pioneering mathematician Louis Chen. Chen made the first of several seminal contributions to the theory and application of Stein?s method. One of his most important contributions has been to turn Stein?s concentration... more...

#### Algebraic Approximation: A Guide to Past and Current Solutions

Springer Basel 2011; US$ 59.95This book details results related with direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval. It also includes information on trigonometric approximation that are necessary for motivation and comparisons. 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...