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  • Dynamics and Analytic Number Theory

    Series Book 437 - London Mathematical Society Lecture Note Series
    Written by leading experts, this book explores several directions of current research at the interface between dynamics and analytic number theory. Topics include Diophantine approximation, exponential sums, Ramsey theory, ergodic theory and homogeneous dynamics. The origins of this material lie in the 'Dynamics and Analytic Number Theory' Easter School held at Durham University in 2014. Key ... Read more

    $73.79 USD

  • Twisted Isospectrality, Homological Wideness, and Isometry

    A Sample of Algebraic Methods in Isospectrality

    Series series Mathematics and Statistics (R0)
    The question of reconstructing a geometric shape from spectra of operators (such as the Laplace operator) is decades old and an active area of research in mathematics and mathematical physics. This book focusses on the case of compact Riemannian manifolds, and, in particular, the question whether one can find finitely many natural operators that determine whether two such manifolds are isometric ... Read more

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    Srinivasa Ramanujan was a mathematician brilliant beyond comparison who inspired many great mathematicians. There is extensive literature available on the work of Ramanujan. But what is missing in the literature is an analysis that would place his mathematics in context and interpret it in terms of modern developments. The 12 lectures by Hardy, delivered in 1936, served this purpose at the time ... Read more

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  • Multiple Dirichlet Series, L-functions and Automorphic Forms

    Series series Mathematics and Statistics (R0)
    Multiple Dirichlet Series, L-functions and Automorphic Forms gives the latest advances in the rapidly developing subject of Multiple Dirichlet Series, an area with origins in the theory of automorphic forms that exhibits surprising and deep connections to crystal graphs and mathematical physics. As such, it represents a new way in which areas including number theory, combinatorics, statistical ... Read more

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  • Symmetry: Representation Theory and Its Applications

    In Honor of Nolan R. Wallach

    Series series Mathematics and Statistics (R0)
    Nolan Wallach's mathematical research is remarkable in both its breadth and depth. His contributions to many fields include representation theory, harmonic analysis, algebraic geometry, combinatorics, number theory, differential equations, Riemannian geometry, ring theory, and quantum information theory. The touchstone and unifying thread running through all his work is the idea of symmetry. This ... Read more

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  • Alan Turing

    His Work and Impact

    In this 2013 winner of the prestigious R.R. Hawkins Award from the Association of American Publishers, as well as the 2013 PROSE Awards for Mathematics and Best in Physical Sciences & Mathematics, also from the AAP, readers will find many of the most significant contributions from the four-volume set of the Collected Works of A. M. Turing. These contributions, together with commentaries from ... Read more

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  • The Art of Mathematics

    Coffee Time in Memphis

    Can a Christian escape from a lion? How quickly can a rumour spread? Can you fool an airline into accepting oversize baggage? Recreational mathematics is full of frivolous questions where the mathematician's art can be brought to bear. But play often has a purpose. In mathematics, it can sharpen skills, provide amusement, or simply surprise, and books of problems have been the stock-in-trade of ... Read more

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  • Enumerative Combinatorics: Volume 2

    Series Book 62 - Cambridge Studies in Advanced Mathematics
    This second volume of a two-volume basic introduction to enumerative combinatorics covers the composition of generating functions, trees, algebraic generating functions, D-finite generating functions, noncommutative generating functions, and symmetric functions. The chapter on symmetric functions provides the only available treatment of this subject suitable for an introductory graduate course on ... Read more

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  • Harmonic and Subharmonic Function Theory on the Hyperbolic Ball

    by Manfred Stoll ...
    Series Book 431 - London Mathematical Society Lecture Note Series
    This comprehensive monograph is ideal for established researchers in the field and also graduate students who wish to learn more about the subject. The text is made accessible to a broad audience as it does not require any knowledge of Lie groups and only a limited knowledge of differential geometry. The author's primary emphasis is on potential theory on the hyperbolic ball, but many other ... Read more

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  • Geometry Of Crystallographic Groups

    Series Book 4 - Algebra And Discrete Mathematics
    Crystallographic groups are groups which act in a nice way and via isometries on some n-dimensional Euclidean space. They got their name, because in three dimensions they occur as the symmetry groups of a crystal (which we imagine to extend to infinity in all directions). The book is divided into two parts. In the first part, the basic theory of crystallographic groups is developed from the very ... Read more

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  • Enumerative Combinatorics: Volume 1

    Series Book 49 - Cambridge Studies in Advanced Mathematics
    Richard Stanley's two-volume basic introduction to enumerative combinatorics has become the standard guide to the topic for students and experts alike. This thoroughly revised second edition of Volume 1 includes ten new sections and more than 300 new exercises, most with solutions, reflecting numerous new developments since the publication of the first edition in 1986. The author brings the ... Read more

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  • Multiple Zeta Functions, Multiple Polylogarithms And Their Special Values

    Series Book 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 ... Read more

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