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  • Encyclopedia of Knot Theory

    "Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics. This enyclopedia is filled with valuable information on a rich and fascinating subject."– Ed Witten, Recipient of the Fields Medal"I spent a pleasant afternoon perusing the Encyclopedia of Knot Theory. It’s a comprehensive compilation of clear introductions to both classical and very modern developments ... Leer más

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  • The Finite Element Method: Its Basis and Fundamentals

    Series series The Finite Element Method
    The Finite Element Method: Its Basis and Fundamentals offers a complete introduction to the basis of the finite element method, covering fundamental theory and worked examples in the detail required for readers to apply the knowledge to their own engineering problems and understand more advanced applications. This edition sees a significant rearrangement of the book's content to enable clearer ... Leer más

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  • Planar Maps, Random Walks and Circle Packing

    École d'Été de Probabilités de Saint-Flour XLVIII - 2018

    de Asaf Nachmias ...
    Series Libro 2243 - Lecture Notes in Mathematics
    This open access book focuses on the interplay between random walks on planar maps and Koebe’s circle packing theorem. Further topics covered include electric networks, the He–Schramm theorem on infinite circle packings, uniform spanning trees of planar maps, local limits of finite planar maps and the almost sure recurrence of simple random walks on these limits. One of its main goals is to ... Leer más

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  • Difference Equations by Differential Equation Methods

    Series Libro 27 - Cambridge Monographs on Applied and Computational Mathematics
    Most well-known solution techniques for differential equations exploit symmetry in some form. Systematic methods have been developed for finding and using symmetries, first integrals and conservation laws of a given differential equation. Here the author explains how to extend these powerful methods to difference equations, greatly increasing the range of solvable problems. Beginning with an ... Leer más

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  • Knots And Physics (Fourth Edition)

    Series Libro 53 - Series On Knots And Everything
    This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot ... Leer más

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  • Perspectives in Analysis, Geometry, and Topology

    On the Occasion of the 60th Birthday of Oleg Viro

    Series series Mathematics and Statistics (R0)
    The contributions in this volume—dedicated to the work and mathematical interests of Oleg Viro on the occasion of his 60th birthday—are invited papers from the Marcus Wallenberg symposium and focus on research topics that bridge the gap among analysis, geometry, and topology. The encounters among these three fields are widespread and often provide impetus for major breakthroughs in applications ... Leer más

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  • A Tale of Two Fractals

    de A.A. Kirillov ...
    Series series Mathematics and Statistics (R0)
    Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals. Despite the volume of literature in the field, the general level of theoretical understanding has remained low; most work is aimed either at too mainstream an audience to achieve any depth or at too specialized a community to achieve widespread use. ... Leer más

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  • Multirate and Wavelet Signal Processing

    Series Libro 8 - Wavelet Analysis and Its Applications
    This innovative and in-depth book integrates the well-developed theory and practical applications of one dimensional and multidimensional multirate signal processing. Using a rigorous mathematical framework, it carefully examines the fundamentals of this rapidly growing field. Areas covered include: basic building blocks of multirate signal processing; fundamentals of multidimensional multirate ... Leer más

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  • Multiple Zeta Functions, Multiple Polylogarithms And Their Special Values

    Series Libro 12 - Series On Number Theory And Its Applications
    This is the first introductory book on multiple zeta functions and multiple polylogarithms which are the generalizations of the Riemann zeta function and the classical polylogarithms, respectively, to the multiple variable setting. It contains all the basic concepts and the important properties of these functions and their special values. This book is aimed at graduate students, mathematicians and ... Leer más

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  • Geometry and Physics

    Edición de H. Pedersen ...
    Series series Lecture Notes in Pure and Applied Mathematics
    "Based on the proceedings of the Special Session on Geometry and Physics held over a six month period at the University of Aarhus, Denmark and on articles from the Summer school held at Odense University, Denmark. Offers new contributions on a host of topics that involve physics, geometry, and topology. Written by more than 50 leading international experts." ... Leer más

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  • Linear Systems

    Linear systems have all the necessary elements (modeling, identification, analysis and control), from an educational point of view, to help us understand the discipline of automation and apply it efficiently. This book is progressive and organized in such a way that different levels of readership are possible. It is addressed both to beginners and those with a good understanding of automation ... Leer más

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  • Crystal Bases: Representations And Combinatorics

    This unique book provides the first introduction to crystal base theory from the combinatorial point of view. Crystal base theory was developed by Kashiwara and Lusztig from the perspective of quantum groups. Its power comes from the fact that it addresses many questions in representation theory and mathematical physics by combinatorial means. This book approaches the subject directly from ... Leer más

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