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Functions of real variables

  • A Basic Course in Real Analysisby Ajit Kumar; S. Kumaresan

    CRC Press 2014; US$ 89.95

    Real Number System Algebra of the Real Number System Upper and Lower Bounds LUB Property and Its Applications Absolute Value and Triangle Inequality Sequences and Their Convergence Sequences and Their Convergence Cauchy Sequences Monotone Sequences Sandwich Lemma Some Important Limits Sequences Diverging to Subsequences Sequences... more...

  • Bounded Variation and Aroundby Jürgen Appell; Józef Banas; Nelson José Merentes Díaz

    De Gruyter 2013; US$ 168.00

    This monograph is a self-contained exposition of the definition and properties of functions of bounded variation and their various generalizations; the analytical properties of nonlinear composition operators in spaces of such functions; applications to Fourier analysis, nonlinear integral equations, and boundary value problems. The book... more...

  • Convex Analysis and Nonlinear Optimizationby Jonathan M. Borwein; Adrian S. Lewis

    Springer 2010; US$ 74.95

    Optimization is a rich and thriving mathematical discipline, and the underlying theory of current computational optimization techniques grows ever more sophisticated. This book aims to provide a concise, accessible account of convex analysis and its applications and extensions, for a broad audience. Each section concludes with an often extensive set... more...

  • Convex Functions, Partial Orderings, and Statistical Applicationsby Josip E. Peajcariaac; Y. L. Tong

    Elsevier Science 1992; US$ 139.00

    This research-level book presents up-to-date information concerning recent developments in convex functions and partial orderings and some applications in mathematics, statistics, and reliability theory. The book will serve researchers in mathematical and statistical theory and theoretical and applied reliabilists. Key Features * Presents classical... more...

  • Fonctions d'une variable réelleby N. Bourbaki

    Springer Berlin Heidelberg 2007; US$ 79.95

    Les Éléments de mathématique de Nicolas Bourbaki ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements. Ce Livre est le quatrième du traité ; il est consacré aux bases de l?analyse réelle. Il comprend les chapitres: 1. Dérivées; 2. Primitives et intégrales; 3. Fonctions élémentaires;... more...

  • Functional Analysis and Applied Optimization in Banach Spacesby Fabio Botelho

    Springer International Publishing 2014; US$ 149.00

    ?Introduces the basic concepts of real and functional analysis Contains introductory and advanced concepts in measure and integration  Applications will be of interest to applied mathematicians, physicists, and engineers more...

  • Generalized Convexity, Generalized Monotonicity and Applicationsby Andrew Eberhard

    Springer 2006; US$ 249.00

    This volume contains a collection of refereed articles on generalized convexity and generalized monotonicity. The first part of the book contains invited papers by leading experts (J.M. Borwein, R.E. Burkard, B.S. Mordukhovich and H. Tuy) with applications of (generalized) convexity to such diverse fields as algebraic dynamics of the Gamma function... more...

  • Generalized Convexity and Optimizationby Laura Martein; W. Trockel

    Springer 2008; US$ 109.00

    Offers a review of convex analysis and the fundamental theoretical findings on generalized convexity and on optimization, including their applications. This work includes a chapter devoted to generalized monotonicity and its relationship to generalized convexity and with the characterizations of important classes of fractional programming. more...

  • Generalized Convexity and Related Topicsby Igor V. Konnov; Dinh The Luc; Alexander M. Rubinov

    Springer 2006; US$ 159.00

    Contains papers written by experts on a range of topics (economics, variational analysis, probability and others) closely related to convexity and generalized convexity, as well as contributions of specialists on the research on generalized convexity and applications, in particular, to optimization, economics and operations research. more...

  • Geometric Measure Theoryby Herbert Federer

    Springer Berlin Heidelberg 2014; US$ 69.95

    From the reviews : "... Federer's timely and beautiful book indeed fills the need for a comprehensive treatise on geometric measure theory, and his detailed exposition leads from the foundations of the theory to the most recent discoveries. ... The author writes with a distinctive style which is both natural and powerfully economical in treating a... more...