A Walk Through Combinatorics: An Introduction to Enumeration and Graph Theory (Second Edition).

Bona, Miklos

ISBN 10: 9812568859 / ISBN 13: 9789812568854

Published by Wspc., 2006

2nd ed. 16 x 23 cm. 492 pages. Paperback. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Sprache: Englisch. Seller Inventory # 6000VB

Synopsis:

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.

Review: "This is a very attractive textbook on combinatorics ... A special feature of this book is the extensive list of interesting exercises with complete solutions."

"The strong points of the book are in particular a very inviting style of exposition, in which developments are always well motivated and well illustrated by numerous examples, and the long list of exercises at the end of each chapter, with detailed solutions ... This is very pleasant and instructive reading."

"Miklos Bona's book is the best introductory combinatorics book that I have ever seen. It is extremely lively yet mathematically accurate, and the writing is lucid and very entertaining at the same time." -- Doron Zeilberger

Plentiful examples .... Bona does a supreme job of walking us through combinatorics -- Choice "Choice"

Bibliographic Details

Title: A Walk Through Combinatorics: An ...
Publisher: Wspc.
Publication Date: 2006
Binding: Soft cover
Edition: 2nd Edition