num_pages: 167
description: 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.
language: English
title: Problems from the Discrete to the Continuous: Probability, Number Theory, Graph Theory, and Combinatorics
publisher: Springer