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Integrals, Generalized

Most popular at the top

  • The Bartle-Dunford-Schwartz Integralby Thiruvaiyaru V. Panchapagesan

    Birkhäuser Basel 2008; US$ 149.00

    This volume is a thorough and comprehensive treatise on vector measures, treating the vectorial Radon integration in detail. It explores an interplay between, on the one side, linear operators, transferring real (complex) functions onto elements of locally convex Hausdorff spaces, and vector-valued measures, on the other. The book contains not only... more...

  • Classical and Modern Integration Theoriesby Ivan N. Pesin; Z. W. Birnbaum; E. Lukacs

    Elsevier Science 2014; US$ 72.95

    Classical and Modern Integration Theories discusses classical integration theory, particularly that part of the theory directly associated with the problems of area. The book reviews the history and the determination of primitive functions, beginning from Cauchy to Daniell. The text describes Cauchy's definition of an integral, Riemann's definition... more...

  • Geometric Integration Theoryby Steven G Krantz; Harold R. Parks

    Birkhäuser Boston 2008; US$ 79.99

    This self-contained and accessible textbook introduces geometric measure theory through the notion of currents. Motivating key ideas with examples and figures, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. more...

  • Geometric Measure Theoryby Frank Morgan

    Elsevier Science 2014; US$ 31.95

    Geometric Measure Theory: A Beginner's Guide provides information pertinent to the development of geometric measure theory. This book presents a few fundamental arguments and a superficial discussion of the regularity theory. Organized into 12 chapters, this book begins with an overview of the purpose and fundamental concepts of geometric measure... more...

  • Geometric Measure Theoryby Frank Morgan

    Elsevier Science 2014; US$ 72.95

    Geometric measure theory is the mathematical framework for the study of crystal growth, clusters of soap bubbles, and similar structures involving minimization of energy. Morgan emphasizes geometry over proofs and technicalities, and includes a bibliography and abundant illustrations and examples. This Second Edition features a new chapter on soap... more...

  • Geometric Measure Theory and Minimal Surfacesby E. Bombieri

    Springer Berlin Heidelberg 2011; US$ 49.95

    W.K. ALLARD: On the first variation of area and generalized mean curvature.- F.J. ALMGREN Jr.: Geometric measure theory and elliptic variational problems.- E. GIUSTI: Minimal surfaces with obstacles.- J. GUCKENHEIMER: Singularities in soap-bubble-like and soap-film-like surfaces.- D. KINDERLEHRER: The analyticity of the coincidence set in variational... more...

  • Geometric Qp Functionsby Jie Xiao

    Birkhäuser Basel 2006; US$ 69.99

    This book documents the rich structure of the holomorphic Q function spaces which are geometric because they transform naturally under conformal mappings, emphasizing recent development based on interaction between geometric function and measure theory, and other branches of mathematical analysis. more...

  • HENSTOCK-KURZWEIL INTEGRATION ON EUCLIDEAN SPACESby Tuo Yeong Lee

    World Scientific Publishing Company 2011; US$ 77.00

    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...

  • Integral and Measureby Vigirdas Mackevicius

    Wiley 2014; US$ 130.00

    This book is devoted to integration, one of the two main operations in calculus. In Part 1, the definition of the integral of a one-variable function is different (not essentially, but rather methodically) from traditional definitions of Riemann or Lebesgue integrals. Such an approach allows us, on the one hand, to quickly develop the practical... more...

  • Introduction to Measure Theory and Integrationby Luigi Ambrosio; Giuseppe Da Prato; Andrea C.G. Mennucci

    Scuola Normale Superiore 2012; US$ 29.95

    Based 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...