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Walk Through Combinatorics, A: An Introduction To Enumeration And Graph Theory

Autor: Miklos Bona

Język:

Oprawa: Twarda

Wydawca: World Scientific Publishing Co Pte Ltd

Dostępność: Dostępna u dostawcy

Wysyłamy za 10-13 dni

567.39 zł

This is a textbook for an introductory combinatorics course that can take up one or two semesters. A...

Informacje o książce

Autor

Miklos Bona

Język

Angielski

Oprawa

Książka - Twarda

Data wydania

2006

strony

492

EAN

9789812568854

Enbook ID

05068390

Wydawca

World Scientific Publishing Co Pte Ltd

Waga

853

Wymiary

157 x 235 x 31

Pełny opis

This is a textbook for an introductory combinatorics course that can take up one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each section, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis of their course. Just as with the first edition, the new edition walks the reader through the classic parts of combinatorial enumeration and graph theory, while also discussing some recent progress in the area: on the one hand, providing material that will help students learn the basic techniques, and on the other hand, showing that some questions at the forefront of research are comprehensible and accessible for the talented and hard-working undergraduate. The basic topics discussed are: the twelvefold way, cycles in permutations, the formula of inclusion and exclusion, the notion of graphs and trees, matchings and Eulerian and Hamiltonian cycles. The selected advanced topics are: Ramsey theory, pattern avoidance, the probabilistic method, partially ordered sets, and algorithms and complexity. As the goal of the book is to encourage students to learn more combinatorics, every effort has been made to provide them with a not only useful, but also enjoyable and engaging reading.

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Walk Through Combinatorics, A: An Introduction To Enumeration And Graph Theory

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