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  • Synchronization for Wave Equations with Locally Distributed Controls

    Collections series Mathematics and Statistics (R0)
    This book aims to establish a systematic theory on the synchronization for wave equations with locally distributed controls. It is structured in two parts. Part I is devoted to internal controls, while Part II treats the case of mixed internal and boundary controls. The authors present necessary mathematical formulations and techniques for analyzing and solving problems in this area. They also ... En savoir plus

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  • Boundary Synchronization for Hyperbolic Systems

    Collections series Mathematics and Statistics (R0)
    Within this carefully presented monograph, the authors extend the universal phenomenon of synchronization from finite-dimensional dynamical systems of ordinary differential equations (ODEs) to infinite-dimensional dynamical systems of partial differential equations (PDEs). By combining synchronization with controllability, they introduce the study of synchronization to the field of control and add ... En savoir plus

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    Collections series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    The aim of Spectral Geometry of Partial Differential Operators is to provide a basic and self-contained introduction to the ideas underpinning spectral geometric inequalities arising in the theory of partial differential equations.Historically, one of the first inequalities of the spectral geometry was the minimization problem of the first eigenvalue of the Dirichlet Laplacian. Nowadays, this type ... En savoir plus

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  • McGraw-Hill's 500 College Linear Algebra Questions to Know by Test Day

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  • Modern Cryptography Volume 1

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    Collections series Economics and Finance (R0)
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  • Numerical Methods for Stochastic Computations

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    The@ first graduate-level textbook to focus on fundamental aspects of numerical methods for stochastic computations, this book describes the class of numerical methods based on generalized polynomial chaos (gPC). These fast, efficient, and accurate methods are an extension of the classical spectral methods of high-dimensional random spaces. Designed to simulate complex systems subject to random ... En savoir plus

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  • Introductory Topology: Exercises And Solutions

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  • A Mathematical Introduction to Compressive Sensing

    Collections 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, ... En savoir plus

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  • Quantum Fields and Processes

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    Collections series Cambridge Studies in Advanced Mathematics
    Wick ordering of creation and annihilation operators is of fundamental importance for computing averages and correlations in quantum field theory and, by extension, in the Hudson–Parthasarathy theory of quantum stochastic processes, quantum mechanics, stochastic processes, and probability. This book develops the unified combinatorial framework behind these examples, starting with the simplest ... En savoir plus

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  • Modern Cryptography Volume 2

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    Collections series Economics and Finance (R0)
    This open access book covers the most cutting-edge and hot research topics and fields of post-quantum cryptography. The main purpose of this book is to focus on the computational complexity theory of lattice ciphers, especially the reduction principle of Ajtai, in order to fill the gap that post-quantum ciphers focus on the implementation of encryption and decryption algorithms, but the ... En savoir plus

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  • A Measure Theoretical Approach to Quantum Stochastic Processes

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    This monograph takes as starting point that abstract quantum stochastic processes can be understood as a quantum field theory in one space and in one time coordinate. As a result it is appropriate to represent operators as power series of creation and annihilation operators in normal-ordered form, which can be achieved using classical measure theory.Considering in detail four basic examples (e.g. ... En savoir plus

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  • Theory Of Multiple Zeta Values With Applications In Combinatorics, The

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    This is the first book on the theory of multiple zeta values since its birth around 1994. Readers will find that the shuffle products of multiple zeta values are applied to complicated counting problems in combinatorics, and numerous interesting identities are produced that are ready to be used. This will provide a powerful tool to deal with problems in multiple zeta values, both in evaluations ... En savoir plus

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