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  • Chaotic Maps, Fractals, and Rapid Fluctuations

    With Applications to Chaotic Vibration of the Wave Equation

    Collections series Mathematics and Statistics (R0)
    This book was developed from lecture notes for an introductory graduate course and provides an essential introduction to chaotic maps in finite-dimensional spaces. Furthermore, the authors show how to apply this theory to infinite-dimensional systems corresponding to partial differential equations to study chaotic vibration of the wave equation subject to various types of nonlinear boundary ... En savoir plus

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  • Mathematics of Quantum Computation

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    Among the most exciting developments in science today is the design and construction of the quantum computer. Its realization will be the result of multidisciplinary efforts, but ultimately, it is mathematics that lies at the heart of theoretical quantum computer science. Mathematics of Quantum Computation brings together leading computer sc ... En savoir plus

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  • Quantum Computing Devices

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    One of the first books to thoroughly examine the subject, Quantum Computing Devices: Principles, Designs, and Analysis covers the essential components in the design of a "real" quantum computer. It explores contemporary and important aspects of quantum computation, particularly focusing on the role of quantum electronic devices as quantum gates. ... En savoir plus

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  • Control Of Nonlinear Distributed Parameter Systems

    An examination of progress in mathematical control theory applications. It provides analyses of the influence and relationship of nonlinear partial differential equations to control systems and contains state-of-the-art reviews, including presentations from a conference co-sponsored by the National Science Foundation, the Institute of Mathematics a ... En savoir plus

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  • Proper Orthogonal Decomposition Methods for Partial Differential Equations

    Collections series Mathematics in Science and Engineering
    Proper Orthogonal Decomposition Methods for Partial Differential Equations evaluates the potential applications of POD reduced-order numerical methods in increasing computational efficiency, decreasing calculating load and alleviating the accumulation of truncation error in the computational process. Introduces the foundations of finite-differences, finite-elements and finite-volume-elements. ... En savoir plus

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    Collections series Springer Nature Proceedings excluding Computer Science
    Machine learning and artificial intelligence increasingly use methodological tools rooted in statistical physics. Conversely, limitations and pitfalls encountered in AI question the very foundations of statistical physics. This interplay between AI and statistical physics has been attested since the birth of AI, and principles underpinning statistical physics can shed new light on the conceptual ... En savoir plus

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  • Partition Functions and Automorphic Forms

    Collections series Mathematics and Statistics (R0)
    This book offers an introduction to the research in several recently discovered and actively developing mathematical and mathematical physics areas. It focuses on: 1) Feynman integrals and modular functions, 2) hyperbolic and Lorentzian Kac-Moody algebras, related automorphic forms and applications to quantum gravity, 3) superconformal indices and elliptic hypergeometric integrals, related ... En savoir plus

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  • Beyond Sobolev and Besov

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    Collections series Mathematics and Statistics (R0)
    This book investigates the close relation between quite sophisticated function spaces, the regularity of solutions of partial differential equations (PDEs) in these spaces and the link with the numerical solution of such PDEs. It consists of three parts. Part I, the introduction, provides a quick guide to function spaces and the general concepts needed. Part II is the heart of the monograph and ... En savoir plus

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  • Essential Mathematics for Quantum Computing

    A beginner's guide to just the math you need without needless complexities

    Demystify quantum computing by learning the math it is built onKey FeaturesBuild a solid mathematical foundation to get started with developing powerful quantum solutionsUnderstand linear algebra, calculus, matrices, complex numbers, vector spaces, and other concepts essential for quantum computingLearn the math needed to understand how quantum algorithms functionBook DescriptionQuantum computing ... En savoir plus

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