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  • Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics

    Series series Mathematics and Statistics (R0)
    The book collects the most relevant results from the INdAM Workshop "Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics" held in Rome, September 14-18, 2015. The contributions discuss recent major advances in the study of nonlinear hyperbolic systems, addressing general theoretical issues such as symmetrizability, singularities, low regularity or dispersive ... Leer más

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  • Hypernumbers and Extrafunctions

    Extending the Classical Calculus

    de Mark Burgin ...
    Series series Mathematics and Statistics (R0)
    “Hypernumbers and Extrafunctions” presents a rigorous mathematical approach to operate with infinite values. First, concepts of real and complex numbers are expanded to include a new universe of numbers called hypernumbers which includes infinite quantities. This brief extends classical calculus based on real functions by introducing extrafunctions, which generalize not only the concept of a ... Leer más

    $40.99 USD

  • Lectures on Constructive Approximation

    Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball

    de Volker Michel ...
    Series series Mathematics and Statistics (R0)
    Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical problems as they occur in the geosciences and medical imaging. It comprises the author’s lectures on classical approximation methods based on orthogonal polynomials and selected modern tools such as splines and wavelets.Methods for approximating functions on ... Leer más

    $80.99 USD

  • Handbook of Functional Equations

    Stability Theory

    Edición de Themistocles M. Rassias ...
    Series series Mathematics and Statistics (R0)
    This handbook consists of seventeen chapters written by eminent scientists from the international mathematical community, who present important research works in the field of mathematical analysis and related subjects, particularly in the Ulam stability theory of functional equations. The book provides an insight into a large domain of research with emphasis to the discussion of several theories, ... Leer más

    $49.99 USD

  • Variational Methods for Nonlocal Fractional Problems

    Series Libro 162 - Encyclopedia of Mathematics and its Applications
    This book provides researchers and graduate students with a thorough introduction to the variational analysis of nonlinear problems described by nonlocal operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations, plus their application to various processes arising in the applied sciences. The equations are ... Leer más

    $146.99 USD

  • Special Functions of Mathematical (Geo-)Physics

    Series series Mathematics and Statistics (R0)
    Special functions enable us to formulate a scientific problem by reduction such that a new, more concrete problem can be attacked within a well-structured framework, usually in the context of differential equations. A good understanding of special functions provides the capacity to recognize the causality between the abstractness of the mathematical concept and both the impact on and cross ... Leer más

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  • Evolutionary Equations with Applications in Natural Sciences

    Series series Mathematics and Statistics (R0)
    With the unifying theme of abstract evolutionary equations, both linear and nonlinear, in a complex environment, the book presents a multidisciplinary blend of topics, spanning the fields of theoretical and applied functional analysis, partial differential equations, probability theory and numerical analysis applied to various models coming from theoretical physics, biology, engineering and ... Leer más

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  • Advances in Computer Algebra

    In Honour of Sergei Abramov's' 70th Birthday, WWCA 2016, Waterloo, Ontario, Canada

    Edición de Carsten Schneider, Eugene Zima ...
    Series series Springer Nature Proceedings excluding Computer Science
    This book discusses the latest advances in algorithms for symbolic summation, factorization, symbolic-numeric linear algebra and linear functional equations. It presents a collection of papers on original research topics from the Waterloo Workshop on Computer Algebra (WWCA-2016), a satellite workshop of the International Symposium on Symbolic and Algebraic Computation (ISSAC’2016), which was held ... Leer más

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  • Rigorous Time Slicing Approach to Feynman Path Integrals

    Series series Mathematics and Statistics (R0)
    This book proves that Feynman's original definition of the path integral actually converges to the fundamental solution of the Schrödinger equation at least in the short term if the potential is differentiable sufficiently many times and its derivatives of order equal to or higher than two are bounded. The semi-classical asymptotic formula up to the second term of the fundamental solution is also ... Leer más

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  • An Introduction to Finite Tight Frames

    Series series Mathematics and Statistics (R0)
    This textbook is an introduction to the theory and applications of finite tight frames, an area that has developed rapidly in the last decade. Stimulating much of this growth are the applications of finite frames to diverse fields such as signal processing, quantum information theory, multivariate orthogonal polynomials, and remote sensing.The first book entirely devoted to finite frames, it ... Leer más

    $58.99 USD

  • A Qualitative Approach to Inverse Scattering Theory

    Series series Mathematics and Statistics (R0)
    Inverse scattering theory is an important area of applied mathematics due to its central role in such areas as medical imaging , nondestructive testing and geophysical exploration. Until recently all existing algorithms for solving inverse scattering problems were based on using either a weak scattering assumption or on the use of nonlinear optimization techniques. The limitations of these methods ... Leer más

    $80.99 USD

  • Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols

    de Sabir Umarov ...
    Series series Mathematics and Statistics (R0)
    The book systematically presents the theories of pseudo-differential operators with symbols singular in dual variables, fractional order derivatives, distributed and variable order fractional derivatives, random walk approximants, and applications of these theories to various initial and multi-point boundary value problems for pseudo-differential equations. Fractional Fokker-Planck-Kolmogorov ... Leer más

    $49.99 USD