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Most popular at the top

  • Differential and Integral Calculusby Richard Courant

    Wiley 2011; US$ 50.00

    “This is the perfect solid-as-they-come, timeless book on the calculus, and most likely it will never be surpassed in this domain.” –Amazon Review This book is intended for anyone who, having passed through an ordinary course of school mathematics, wishes to apply himself to the study of mathematics or its applications to science... more...

  • Pre-Calculus Demystifiedby Rhonda Huettenmueller

    McGraw-Hill Education 2005; US$ 20.00

    Packed with practical examples, graphs, and Q&As, this complete self-teaching guide from the best-selling author of Algebra Demystified covers all the essential topics, including: absolute value, nonlinear inequalities, functions and their graphs, inverses, proportion and ratio, and much more. more...

  • HENSTOCK-KURZWEIL INTEGRATION ON EUCLIDEAN SPACESby Tuo Yeong Lee

    World Scientific Publishing Company 2011; US$ 133.00

    The 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 MEASURESby M. M. Rao

    World Scientific Publishing Company 2011; US$ 209.00

    The 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 Spacesby Antonio Boccuto; Beloslav Riecan; Marta Vrábelová

    Bentham Science Publishers 2010; US$ 69.00

    This 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 Integralby Steven G. Krantz

    Morgan & Claypool Publishers 2011; US$ 35.00

    This 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...

  • Introduction to Measure Theory and Integrationby Luigi Ambrosio; Giuseppe Prato; Andrea Mennucci

    Springer 2012; US$ 29.95

    This textbook collects the notes for an introductory course in measure theory and integration. The course was taught by the authors to undergraduate students of the Scuola Normale Superiore, in the years 2000-2011. The goal of the course was to present, in a quick but rigorous way, the modern point of view on measure theory and integration, putting... more...

  • Young Measures and Compactness in Measure Spacesby Liviu C. Florescu; Christiane Godet-Thobie

    De Gruyter 2012; US$ 182.00

    Many 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 optimization... more...

  • Fractional Calculusby Kai Diethelm; Dumitru Baleanu; Enrico Scalas

    World Scientific Publishing Company 2012; US$ 181.00

    The 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 Calculusby Richard C. Brown

    World Scientific Publishing Company 2012; US$ 143.00

    This 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...