# Problems from the Discrete to the Continuous

## Probability, Number Theory, Graph Theory, and Combinatorics

Part of the Universitext book series (UTX)

Part of the Universitext book series (UTX)

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 mélange 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.

Asymptotic problems Combinatorics Graph theory Number theory Probability

- DOI https://doi.org/10.1007/978-3-319-07965-3
- Copyright Information Springer International Publishing Switzerland 2014
- Publisher Name Springer, Cham
- eBook Packages Mathematics and Statistics
- Print ISBN 978-3-319-07964-6
- Online ISBN 978-3-319-07965-3
- Series Print ISSN 0172-5939
- Series Online ISSN 2191-6675
- About this book