Problems from the Discrete to the Continuous : Probability, Number Theory, Graph Theory, and Combinatorics
Overview
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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Details
- ISBN-13: 9783319079646
- ISBN-10: 3319079646
- Publisher: Springer
- Publish Date: August 2014
- Dimensions: 9.21 x 6.14 x 0.36 inches
- Shipping Weight: 0.54 pounds
- Page Count: 154
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