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Problems from the Discrete to the Continuous: Probability, Number Theory, Graph Theory, and Combinatorics

Problems from the Discrete to the Continuous: Probability, Number Theory, Graph Theory, and Combinatorics

Paperback

Series: Universitext

General MathematicsProbability & Statistics

ISBN10: 3319079646
ISBN13: 9783319079646
Publisher: Springer Nature
Published: Aug 25 2014
Pages: 154
Weight: 0.54
Height: 0.36 Width: 6.14 Depth: 9.21
Language: English
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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Probability & Statistics