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  • Input-to-State Stability

    Theory and Applications

    Series series Engineering (R0)
    Input-to-State Stability presents the dominating stability paradigm in nonlinear control theory that revolutionized our view on stabilization of nonlinear systems, design of robust nonlinear observers, and stability of nonlinear interconnected control systems.The applications of input-to-state stability (ISS) are manifold and include mechatronics, aerospace engineering, and systems biology. ... Leer más

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  • Multiple View Geometry in Computer Vision

    A basic problem in computer vision is to understand the structure of a real world scene given several images of it. Techniques for solving this problem are taken from projective geometry and photogrammetry. Here, the authors cover the geometric principles and their algebraic representation in terms of camera projection matrices, the fundamental matrix and the trifocal tensor. The theory and ... Leer más

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  • A Mathematical Introduction to Compressive Sensing

    Series series Applied and Numerical Harmonic Analysis
    At the intersection of mathematics, engineering, and computer science sits the thriving field of compressive sensing. Based on the premise that data acquisition and compression can be performed simultaneously, compressive sensing finds applications in imaging, signal processing, and many other domains. In the areas of applied mathematics, electrical engineering, and theoretical computer science, ... Leer más

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  • Computable Universe, A: Understanding And Exploring Nature As Computation

    de Hector Zenil ...
    This volume, with a foreword by Sir Roger Penrose, discusses the foundations of computation in relation to nature.It focuses on two main questions:The contributors are world-renowned experts who have helped shape a cutting-edge computational understanding of the universe. They discuss computation in the world from a variety of perspectives, ranging from foundational concepts to pragmatic models to ... Leer más

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  • Applied Mathematics

    Data Compression, Spectral Methods, Fourier Analysis, Wavelets, and Applications

    Series Libro 2 - Mathematics Textbooks for Science and Engineering
    This textbook, apart from introducing the basic aspects of applied mathematics, focuses on recent topics such as information data manipulation, information coding, data approximation, data dimensionality reduction, data compression, time-frequency and time scale bases, image manipulation, and image noise removal. The methods treated in more detail include spectral representation and “frequency” of ... Leer más

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  • Quantum Probability And Related Topics - Proceedings Of The 32nd Conference

    Series Libro 29 - Qp-pq: Quantum Probability And White Noise Analysis
    This volume contains the current research in quantum probability, infinite dimensional analysis and related topics. Contributions by experts in these fields highlight the latest developments and interdisciplinary connections with classical probability, stochastic analysis, white noise analysis, functional analysis and quantum information theory.This diversity shows how research in quantum ... Leer más

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  • Numerical Analysis of Partial Differential Equations

    de S. H, Lui ...
    Series Libro 102 - Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
    A balanced guide to the essential techniques for solving elliptic partial differential equationsNumerical Analysis of Partial Differential Equations provides a comprehensive, self-contained treatment of the quantitative methods used to solve elliptic partial differential equations (PDEs), with a focus on the efficiency as well as the error of the presented methods. The author utilizes coverage of ... Leer más

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  • Algorithms for Convex Optimization

    In the last few years, Algorithms for Convex Optimization have revolutionized algorithm design, both for discrete and continuous optimization problems. For problems like maximum flow, maximum matching, and submodular function minimization, the fastest algorithms involve essential methods such as gradient descent, mirror descent, interior point methods, and ellipsoid methods. The goal of this self ... Leer más

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  • Gibbs Measures On Cayley Trees

    The purpose of this book is to present systematically all known mathematical results on Gibbs measures on Cayley trees (Bethe lattices).The Gibbs measure is a probability measure, which has been an important object in many problems of probability theory and statistical mechanics. It is the measure associated with the Hamiltonian of a physical system (a model) and generalizes the notion of a ... Leer más

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  • Grassmannian Geometry of Scattering Amplitudes

    Outlining a revolutionary reformulation of the foundations of perturbative quantum field theory, this book is a self-contained and authoritative analysis of the application of this new formulation to the case of planar, maximally supersymmetric Yang–Mills theory. The book begins by deriving connections between scattering amplitudes and Grassmannian geometry from first principles before introducing ... Leer más

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  • Introduction to Wavelet Transforms

    The textbook, ***Introduction to Wavelet Transforms***provides basics of wavelet transforms in a self-contained manner. Applications of wavelet transform theory permeate our daily lives. Therefore it is imperative to have a strong foundation for this subject.FeaturesNo prior knowledge of the subject is assumed. Sufficient mathematical background is provided to complete the discussion of different ... Leer más

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  • Tau Functions and their Applications

    Series series Cambridge Monographs on Mathematical Physics
    Tau functions are a central tool in the modern theory of integrable systems. This volume provides a thorough introduction, starting from the basics and extending to recent research results. It covers a wide range of applications, including generating functions for solutions of integrable hierarchies, correlation functions in the spectral theory of random matrices and combinatorial generating ... Leer más

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