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Top Series in United States

Showing 1 - 12 of 12 results for “shaun ault”
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  • Counting Lattice Paths Using Fourier Methods

    by Shaun Ault, Charles Kicey ...
    Series series Mathematics and Statistics (R0)
    This monograph introduces a novel and effective approach to counting lattice paths by using the discrete Fourier transform (DFT) as a type of periodic generating function. Utilizing a previously unexplored connection between combinatorics and Fourier analysis, this method will allow readers to move to higher-dimensional lattice path problems with ease. The technique is carefully developed in the ... Read more

    $71.99 USD

  • Understanding Topology

    A Practical Introduction

    by Shaun V. Ault ...
    A fresh approach to topology makes this complex topic easier for students to master.Topology—the branch of mathematics that studies the properties of spaces that remain unaffected by stretching and other distortions—can present significant challenges for undergraduate students of mathematics and the sciences. Understanding Topology aims to change that.The perfect introductory topology textbook, ... Read more

    $84.49 USD

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  • A Course in Mathematical Analysis: Volume 2, Metric and Topological Spaces, Functions of a Vector Variable

    by D. J. H. Garling ...
    The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and teachers. Volume 1 ... Read more

    $57.39 USD

  • Indra's Pearls

    The Vision of Felix Klein

    by David Mumford, Caroline Series, David Wright ...
    Felix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple coexisting symmetries. For a century, these ... Read more

    $42.69 USD

  • Index Analysis

    Approach Theory at Work

    by R. Lowen ...
    Series series Mathematics and Statistics (R0)
    The featured review of the AMS describes the author’s earlier work in the field of approach spaces as, ‘A landmark in the history of general topology’. In this book, the author has expanded this study further and taken it in a new and exciting direction.The number of conceptually and technically different systems which characterize approach spaces is increased and moreover their uniform ... Read more

    $49.49 USD

  • Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra

    by Detlef Müller, Isroil A. Ikromov ...
    Series Book 194 - Annals of Mathematics Studies
    This is the first book to present a complete characterization of Stein-Tomas type Fourier restriction estimates for large classes of smooth hypersurfaces in three dimensions, including all real-analytic hypersurfaces. The range of Lebesgue spaces for which these estimates are valid is described in terms of Newton polyhedra associated to the given surface.Isroil Ikromov and Detlef Müller begin with ... Read more

    $70.59 USD

  • Differential Topology

    by C. T. C. Wall ...
    Series Book 156 - Cambridge Studies in Advanced Mathematics
    Exploring the full scope of differential topology, this comprehensive account of geometric techniques for studying the topology of smooth manifolds offers a wide perspective on the field. Building up from first principles, concepts of manifolds are introduced, supplemented by thorough appendices giving background on topology and homotopy theory. Deep results are then developed from these ... Read more

    $85.29 USD

  • Martingales in Banach Spaces

    by Gilles Pisier ...
    Series Book 155 - Cambridge Studies in Advanced Mathematics
    This book focuses on the major applications of martingales to the geometry of Banach spaces, and a substantial discussion of harmonic analysis in Banach space valued Hardy spaces is also presented. It covers exciting links between super-reflexivity and some metric spaces related to computer science, as well as an outline of the recently developed theory of non-commutative martingales, which has ... Read more

    $78.79 USD

  • Topological Galois Theory

    Solvability and Unsolvability of Equations in Finite Terms

    by Askold Khovanskii ...
    Translated by Vladlen Timorin, Valentina Kiritchenko, Liudmyla Kadets ...
    Series series Mathematics and Statistics (R0)
    This book provides a detailed and largely self-contained description of various classical and new results on solvability and unsolvability of equations in explicit form. In particular, it offers a complete exposition of the relatively new area of topological Galois theory, initiated by the author. Applications of Galois theory to solvability of algebraic equations by radicals, basics of Picard ... Read more

    $116.09 USD

  • Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

    by Stefan Witzel ...
    Series series Mathematics and Statistics (R0)
    Providing an accessible approach to a special case of the Rank Theorem, the present text considers the exact finiteness properties of S-arithmetic subgroups of split reductive groups in positive characteristic when S contains only two places. While the proof of the general Rank Theorem uses an involved reduction theory due to Harder, by imposing the restrictions that the group is split and that S ... Read more

    $44.99 USD

  • A First Course in Computational Algebraic Geometry

    by Wolfram Decker, Gerhard Pfister ...
    Series series AIMS Library of Mathematical Sciences
    A First Course in Computational Algebraic Geometry is designed for young students with some background in algebra who wish to perform their first experiments in computational geometry. Originating from a course taught at the African Institute for Mathematical Sciences, the book gives a compact presentation of the basic theory, with particular emphasis on explicit computational examples using the ... Read more

    $18.89 USD

  • Hyperbolic Manifolds

    An Introduction in 2 and 3 Dimensions

    by Albert Marden ...
    Over the past three decades there has been a total revolution in the classic branch of mathematics called 3-dimensional topology, namely the discovery that most solid 3-dimensional shapes are hyperbolic 3-manifolds. This book introduces and explains hyperbolic geometry and hyperbolic 3- and 2-dimensional manifolds in the first two chapters and then goes on to develop the subject. The author ... Read more

    $78.79 USD