Problems from the discrete to the continuous : probability, number theory, graph theory, and combinatorics /
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 i...
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| Müşterek Yazar: | |
| Materyal Türü: | Ekitap |
| Dil: | English |
| Baskı/Yayın Bilgisi: |
Cham
Springer International Publishing
2014.
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| Seri Bilgileri: | Universitext
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| Konular: | |
| Online Erişim: | Click here to view the full text content |
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| Özet: | 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. |
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| Fiziksel Özellikler: | 1 online resource (XIII, 154 pages) 8 illustration in colour. |
| ISBN: | 9783319079653 |
| ISSN: | 0172-5939 |