Universitext: Probability, Number Theory, Graph Theory, and Combinatorics

Pinsky, Ross G.

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.

Details

Published by: Springer

Publication Date: 2014-08-25

Format: Paperback

ISBN-13: 9783319079646

DOI: 10.1007/978-3-319-07965-3

Dimensions: 235cm x155cm

Pages: 154