Advertisement

© 2014

Problems from the Discrete to the Continuous

Probability, Number Theory, Graph Theory, and Combinatorics

Benefits

  • Treats problems from four different mathematical disciplines, under the common theme of asymptotic limits and generous use of generating function techniques

  • Presented rigorously and with enough detail to allow the advanced undergraduate student to use it for independent study

  • Excellent for a seminar course in which the students present the lectures

Textbook

Part of the Universitext book series (UTX)

About this book

Introduction

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.

Keywords

Asymptotic problems Combinatorics Graph theory Number theory Probability

Authors and affiliations

  1. 1.Department of MathematicsTechnion-Israel Institute of TechnologyHaifaIsrael

About the authors

Ross Pinsky is a Professor in the Department of Mathematics at Technion-Israel Institute of Technology.

Bibliographic information

Industry Sectors
Pharma
Biotechnology
IT & Software
Telecommunications
Finance, Business & Banking
Electronics
Energy, Utilities & Environment
Aerospace
Oil, Gas & Geosciences
Engineering