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Problems from the Discrete to the Continuous: Probability, Number Theory, Graph Theory, and Combinatorics (Universitext) - Softcover
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.
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About the Author:
Ross Pinsky is a Professor in the Department of Mathematics at Technion-Israel Institute of Technology.
Review:
The book under review collects a number of problems of discrete nature and with solutions utilizing continuous and analytic tools. the book is suitable for undergraduate students to have an excursion on some selected problems and interesting theorems, and also it is suitable for instructors to use it to introduce some good and meaningful examples. (Mehdi Hassani, zbMATH 1311.11002, 2015)"
The book under review consists of ten well-written chapters each devoted to a single topic, or rather a single problem. The book is expected to appeal to a wide audience, including graduate and advanced undergraduate students, and can indeed be used for a seminar course in which students may present the lectures. Each chapter contains a set of exercises and ends with illuminating historical notes. (M. Hajja, Mathematical Reviews, November, 2015)
The book under review collects a number of problems of discrete nature and with solutions utilizing continuous and analytic tools. the book is suitable for undergraduate students to have an excursion on some selected problems and interesting theorems, and also it is suitable for instructors to use it to introduce some good and meaningful examples. (Mehdi Hassani, zbMATH 1311.11002, 2015)"
The book under review consists of ten well-written chapters each devoted to a single topic, or rather a single problem. The book is expected to appeal to a wide audience, including graduate and advanced undergraduate students, and can indeed be used for a seminar course in which students may present the lectures. Each chapter contains a set of exercises and ends with illuminating historical notes. (M. Hajja, Mathematical Reviews, November, 2015)
The book under review collects a number of problems of discrete nature and with solutions utilizing continuous and analytic tools. the book is suitable for undergraduate students to have an excursion on some selected problems and interesting theorems, and also it is suitable for instructors to use it to introduce some good and meaningful examples. (Mehdi Hassani, zbMATH 1311.11002, 2015)
""The book under review consists of ten well-written chapters each devoted to a single topic, or rather a single problem. ... The book is expected to appeal to a wide audience, including graduate and advanced undergraduate students, and can indeed be used for a seminar course in which students may present the lectures. ... Each chapter contains a set of exercises and ends with illuminating historical notes." (M. Hajja, Mathematical Reviews, November, 2015)
"The book under review collects a number of problems of discrete nature and with solutions utilizing continuous and analytic tools. ... the book is suitable for undergraduate students to have an excursion on some selected problems and interesting theorems, and also it is suitable for instructors to use it to introduce some good and meaningful examples." (Mehdi Hassani, zbMATH 1311.11002, 2015)
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- PublisherSpringer
- Publication date2014
- ISBN 10 3319079646
- ISBN 13 9783319079646
- BindingPaperback
- Number of pages167
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Book Description Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 168 pp. Englisch. Seller Inventory # 9783319079646
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Book Description Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783319079646
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