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  • Weakly Wandering Sequences in Ergodic Theory

    Series series Mathematics and Statistics (R0)
    The appearance of weakly wandering (ww) sets and sequences for ergodic transformations over half a century ago was an unexpected and surprising event. In time it was shown that ww and related sequences reflected significant and deep properties of ergodic transformations that preserve an infinite measure.This monograph studies in a systematic way the role of ww and related sequences in the ... Read more

    $49.49 USD

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    P, NP, and the Search for the Impossible

    by Lance Fortnow ...
    The P-NP problem is the most important open problem in computer science, if not all of mathematics. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications for everything we do with computers and beyond. In this informative and entertaining book, Lance Fortnow traces how the problem arose during the Cold War on both sides of the Iron ... Read more

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  • Recent Developments in Fractals and Related Fields

    Conference on Fractals and Related Fields III, île de Porquerolles, France, 2015

    Series series Springer Nature Proceedings excluding Computer Science
    This contributed volume provides readers with an overview of the most recent developments in the mathematical fields related to fractals, including both original research contributions, as well as surveys from many of the leading experts on modern fractal theory and applications. It is an outgrowth of the Conference of Fractals and Related Fields III, that was held on September 19-25, 2015 in île ... Read more

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  • Exterior Billiards

    Systems with Impacts Outside Bounded Domains

    A billiard is a dynamical system in which a point particle alternates between free motion and specular reflections from the boundary of a domain. Exterior Billiards presents billiards in the complement of domains and their applications in aerodynamics and geometrical optics.This book distinguishes itself from existing literature by presenting billiard dynamics outside bounded domains, including ... Read more

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  • Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications

    Cetraro, Italy 2011, Editors: Paola Loreti, Nicoletta Anna Tchou

    Series series Mathematics and Statistics (R0)
    These Lecture Notes contain the material relative to the courses given at the CIME summer school held in Cetraro, Italy from August 29 to September 3, 2011. The topic was "Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications". The courses dealt mostly with the following subjects: first order and second order Hamilton-Jacobi-Bellman equations, properties of viscosity ... Read more

    $49.49 USD

  • Infinite-Horizon Optimal Control in the Discrete-Time Framework

    Series series Mathematics and Statistics (R0)
    In this book the authors take a rigorous look at the infinite-horizon discrete-time optimal control theory from the viewpoint of Pontryagin’s principles. Several Pontryagin principles are described which govern systems and various criteria which define the notions of optimality, along with a detailed analysis of how each Pontryagin principle relate to each other. The Pontryagin principle is ... Read more

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  • Probability Theory

    A Comprehensive Course

    by Achim Klenke ...
    Series series Mathematics and Statistics (R0)
    This second edition of the popular textbook contains a comprehensive course in modern probability theory, covering a wide variety of topics which are not usually found in introductory textbooks, including:• limit theorems for sums of random variables• martingales• percolation• Markov chains and electrical networks• construction of stochastic processes• Poisson point process and infinite ... Read more

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  • Ergodic Optimization in the Expanding Case

    Concepts, Tools and Applications

    Series series Mathematics and Statistics (R0)
    This book focuses on the interpretation of ergodic optimal problems as questions of variational dynamics, employing a comparable approach to that of the Aubry-Mather theory for Lagrangian systems. Ergodic optimization is primarily concerned with the study of optimizing probability measures. This work presents and discusses the fundamental concepts of the theory, including the use and relevance of ... Read more

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  • Ramanujan's Lost Notebook

    Part IV

    Series Book 4 - Mathematics and Statistics (R0)
    In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical ... Read more

    $143.09 USD

  • Optimal Trajectory Tracking of Nonlinear Dynamical Systems

    by Jakob Löber ...
    Series series Physics and Astronomy (R0)
    By establishing an alternative foundation of control theory, this thesis represents a significant advance in the theory of control systems, of interest to a broad range of scientists and engineers. While common control strategies for dynamical systems center on the system state as the object to be controlled, the approach developed here focuses on the state trajectory. The concept of precisely ... Read more

    $89.09 USD

  • Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

    Series series Mathematics and Statistics (R0)
    This book offers a comprehensive treatment of the theory of measures of noncompactness. It discusses various applications of the theory of measures of noncompactness, in particular, by addressing the results and methods of fixed-point theory. The concept of a measure of noncompactness is very useful for the mathematical community working in nonlinear analysis. Both these theories are especially ... Read more

    $98.99 USD

  • Contributions in Mathematics and Engineering

    In Honor of Constantin Carathéodory

    Series series Mathematics and Statistics (R0)
    The contributions in this volume aim to deepen understanding of some of the current research problems and theories in modern topics such as calculus of variations, optimization theory, complex analysis, real analysis, differential equations, and geometry. Applications to these areas of mathematics are presented within the broad spectrum of research in Engineering Science with particular emphasis ... Read more

    $143.09 USD