Problems from the Discrete to the Continuous
Probability, Number Theory, Graph Theory, and Combinatorics
Nonfiction, Science & Nature, Mathematics, Graphic Methods, Statistics
| Author: | Ross G. Pinsky | ISBN: | 9783319079653 |
| Publisher: | Springer International Publishing | Publication: | August 9, 2014 |
| Imprint: | Springer | Language: | English |
| Author: | Ross G. Pinsky |
| ISBN: | 9783319079653 |
| Publisher: | Springer International Publishing |
| Publication: | August 9, 2014 |
| Imprint: | Springer |
| Language: | English |
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.
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.
