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  • Elliptic Functions

    Series Book 67 - London Mathematical Society Student Texts
    In its first six chapters this 2006 text seeks to present the basic ideas and properties of the Jacobi elliptic functions as an historical essay, an attempt to answer the fascinating question: 'what would the treatment of elliptic functions have been like if Abel had developed the ideas, rather than Jacobi?' Accordingly, it is based on the idea of inverting integrals which arise in the theory of ... Read more

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  • The Theory of Numbers (Higher Mathematics)

    The purpose of this little book is to give the reader a convenient introduction to the theory of numbers, one of the most extensive and most elegant disciplines in the whole body of mathematics. The arrangement of the material is as follows:The first five chapters are devoted to the development of those elements which are essential to any study of the subject. The sixth and last chapter is ... 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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  • Random Walks and Heat Kernels on Graphs

    Series Book 438 - London Mathematical Society Lecture Note Series
    This introduction to random walks on infinite graphs gives particular emphasis to graphs with polynomial volume growth. It offers an overview of analytic methods, starting with the connection between random walks and electrical resistance, and then proceeding to study the use of isoperimetric and Poincaré inequalities. The book presents rough isometries and looks at the properties of a graph that ... Read more

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  • A Panorama of Discrepancy Theory

    Series series Mathematics and Statistics (R0)
    This is the first work on Discrepancy Theory to show the present variety of points of view and applications covering the areas Classical and Geometric Discrepancy Theory, Combinatorial Discrepancy Theory and Applications and Constructions. It consists of several chapters, written by experts in their respective fields and focusing on the different aspects of the theory.Discrepancy theory concerns ... Read more

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  • Total Domination in Graphs

    Series series Mathematics and Statistics (R0)
    Total Domination in Graphs gives a clear understanding of this topic to any interested reader who has a modest background in graph theory. This book provides and explores the fundamentals of total domination in graphs. Some of the topics featured include the interplay between total domination in graphs and transversals in hypergraphs, and the association with total domination in graphs and ... Read more

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  • Mod-ϕ Convergence

    Normality Zones and Precise Deviations

    Series series Mathematics and Statistics (R0)
    The canonical way to establish the central limit theorem for i.i.d. random variables is to use characteristic functions and Lévy’s continuity theorem. This monograph focuses on this characteristic function approach and presents a renormalization theory called mod-ϕ convergence. This type of convergence is a relatively new concept with many deep ramifications, and has not previously been published ... Read more

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  • Uniform Central Limit Theorems

    by R. M. Dudley ...
    Series Book 142 - Cambridge Studies in Advanced Mathematics
    In this new edition of a classic work on empirical processes the author, an acknowledged expert, gives a thorough treatment of the subject with the addition of several proved theorems not included in the first edition, including the Bretagnolle–Massart theorem giving constants in the Komlos–Major–Tusnady rate of convergence for the classical empirical process, Massart's form of the Dvoretzky ... Read more

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  • Putnam and Beyond

    Series series Mathematics and Statistics (R0)
    This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument ... Read more

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  • Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and Generalizations

    by Audrey Terras ...
    Series series Mathematics and Statistics (R0)
    This text is an introduction to harmonic analysis on symmetric spaces, focusing on advanced topics such as higher rank spaces, positive definite matrix space and generalizations. It is intended for beginning graduate students in mathematics or researchers in physics or engineering. As with the introductory book entitled "Harmonic Analysis on Symmetric Spaces - Euclidean Space, the Sphere, and the ... Read more

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  • Linear Models

    A Mean Model Approach

    Series series Probability and Mathematical Statistics
    Linear models, normally presented in a highly theoretical and mathematical style, are brought down to earth in this comprehensive textbook. Linear Models examines the subject from a mean model perspective, defining simple and easy-to-learn rules for building mean models, regression models, mean vectors, covariance matrices and sums of squares matrices for balanced and unbalanced data sets. The ... Read more

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  • Problems from the Discrete to the Continuous

    Probability, Number Theory, Graph Theory, and Combinatorics

    Series series Mathematics and Statistics (R0)
    The primary intent of the book is to introduce an array of beautiful problems in a variety of subjects quickly, pithily and completely rigorously to graduate students and advanced undergraduates. The book takes a number of specific problems and solves them, the needed tools developed along the way in the context of the particular problems. It treats a melange of topics from combinatorial ... Read more

    $53.99 USD