A Path to Combinatorics for Undergraduates

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Sprache: Englisch

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Beschreibung

This unique approach to combinatorics is centered around unconventional, essay-type combinatorial examples, followed by a number of carefully selected, challenging problems and extensive discussions of their solutions. Topics encompass permutations and combinations, binomial coefficients and their applications, bijections, inclusions and exclusions, and generating functions. Each chapter features fully-worked problems, including many from Olympiads and other competitions, as well as a number of problems original to the authors; at the end of each chapter are further exercises to reinforce understanding, encourage creativity, and build a repertory of problem-solving techniques. The authors' previous text, "102 Combinatorial Problems," makes a fine companion volume to the present work, which is ideal for Olympiad participants and coaches, advanced high school students, undergraduates, and college instructors. The book's unusual problems and examples will interest seasoned mathematicians as well. "A Path to Combinatorics for Undergraduates" is a lively introduction not only to combinatorics, but to mathematical ingenuity, rigor, and the joy of solving puzzles.

Über den Autor

Titu Andreescu is an internationally acclaimed problem solving expert who has published more than 30 books in this area.

Cristinel Mortici is a Romanian mathematics professor who efficiently uses a problem base approach in his teaching.

Marian Tetiva is a Romanian high school teacher who strongly believes in the importance of meaningful problem solving in teaching and learning mathematics.

Zusammenfassung

Inhaltsverzeichnis

Preface.- Introduction.- Acknowledgments.- Abbreviations and Notations.- Addition on Multiplication?- Combinations.- Properties of Binomial Coefficients.- Bijections.- Inclusions and Exclusions.- Recursions.- Calculating in Two Ways - Fubini's Principle.- Generating Functions.- Review Exercises.- Glossary.- Further Reading.

Details

Erscheinungsjahr:	2003
Fachbereich:	Arithmetik & Algebra
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xix 228 S. 39 s/w Illustr. 228 p. 39 illus.
ISBN-13:	9780817642884
ISBN-10:	0817642889
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Andreescu, Titu Feng, Zuming
Hersteller:	Birkhäuser Birkhäuser Boston
Verantwortliche Person für die EU:	Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße:	229 x 152 x 14 mm
Von/Mit:	Titu Andreescu (u. a.)
Erscheinungsdatum:	11.11.2003
Gewicht:	0,371 kg