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  • Spectral Theory for Linear Operators

    Demicompactness and Perturbation Theory

    by Bilel Krichen ...
    Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    This book focuses on spectral theory for linear operators involving bounded or unbounded demicompact linear operators acting on Banach spaces. This class played an important rule in the theory of perturbation. More precisely, it contributed in the construction of several classes of stability of essential spectra for bounded or unbounded linear operators. We should emphasize that this book is the ... Read more

    $235.00 USD

  • Nonlinear Functional Analysis in Banach Spaces and Banach Algebras

    Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications

    Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    Uncover the Useful Interactions of Fixed Point Theory with Topological StructuresNonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications is the first book to tackle the topological fixed point theory for block operator matrices w ... Read more

    $225.99 USD

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  • Numerical Analysis

    Computational science is fundamentally changing how technological questions are addressed. The design of aircraft, automobiles, and even racing sailboats is now done by computational simulation. The mathematical foundation of this new approach is numerical analysis, which studies algorithms for computing expressions defined with real numbers. Emphasizing the theory behind the computation, this ... Read more

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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 ... Read more

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  • Computational Aspects of Modular Forms and Galois Representations

    How One Can Compute in Polynomial Time the Value of Ramanujan's Tau at a Prime

    Series Book 176 - Annals of Mathematics Studies
    Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. Their Fourier coefficients, with Ramanujan's tau-function as a typical example, have deep arithmetic significance. Prior to this book, the fastest known algorithms for computing these Fourier coefficients took exponential time, except in some special ... Read more

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  • Mathematical Principles of the Internet, Volume 2

    Mathematics

    Series series Chapman & Hall/CRC Computer and Information Science Series
    This two-volume set on***Mathematical Principles of the Internet*** provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and the key principles.Volume 1 explores Internet engineering, while the supporting mathematics is ... Read more

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  • Foundations of Signal Processing

    This comprehensive and engaging textbook introduces the basic principles and techniques of signal processing, from the fundamental ideas of signals and systems theory to real-world applications. Students are introduced to the powerful foundations of modern signal processing, including the basic geometry of Hilbert space, the mathematics of Fourier transforms, and essentials of sampling, ... Read more

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  • Fourier Restriction, Decoupling, and Applications

    Series Book 184 - Cambridge Studies in Advanced Mathematics
    The last fifteen years have seen a flurry of exciting developments in Fourier restriction theory, leading to significant new applications in diverse fields. This timely text brings the reader from the classical results to state-of-the-art advances in multilinear restriction theory, the Bourgain–Guth induction on scales and the polynomial method. Also discussed in the second part are decoupling for ... Read more

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  • Numerical Differential Equations: Theory And Technique, Ode Methods, Finite Differences, Finite Elements And Collocation

    by John Loustau ...
    This text presents numerical differential equations to graduate (doctoral) students. It includes the three standard approaches to numerical PDE, FDM, FEM and CM, and the two most common time stepping techniques, FDM and Runge-Kutta. We present both the numerical technique and the supporting theory.The applied techniques include those that arise in the present literature. The supporting ... Read more

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  • Applied Mathematics

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

    Series Book 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 ... Read more

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  • Understanding Topology

    A Practical Introduction

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