Problems from the Discrete to the Continuous

Probability, Number Theory, Graph Theory, and Combinatorics

von Ross G. Pinsky

154 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Universitext
• Themen: Mathematik und Naturwissenschaften Mathematik Wahrscheinlichkeitsrechnung und Statistik
• ISBN: 9783319079646
• Sprache: Englisch
• Erscheinungsdatum: 25.08.2014
• Größe: 23.5 x 15.5 cm
• Verlag: Springer International Publishing