Problems From The Discrete To The Continuous

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    Problems from the Discrete to the Continuous
    Probability, Number Theory, Graph Theory, and Combinatorics
    By: Ross G. Pinsky
    Publisher:
    Springer
    Print ISBN: 9783319079646, 3319079646
    eText ISBN: 9783319079653, 3319079654
    Copyright year: 2014
    Format: EPUB
    Available from $ 69.99 USD
    SKU 9783319079653
    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 probability theory, number theory, random graph theory and combinatorics. The problems in this book involve the asymptotic analysis of a discrete construct, as some natural parameter of the system tends to infinity. Besides bridging discrete mathematics and mathematical analysis, the book makes a modest attempt at bridging disciplines. The problems were selected with an eye toward accessibility to a wide audience, including advanced undergraduate students. The book could be used for a seminar course in which students present the lectures.
     

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