A Path to Combinatorics for Undergraduates

Dekorationsartikel gehören nicht zum Leistungsumfang.

Sprache: Englisch

74,89 €

inkl. MwSt.

Versandkostenfrei per Post / DHL

Aktuell nicht verfügbar

Kategorien:

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

Rzvan Gelca, Texas Tech University, works in Chern-Simons theory, a field of mathematics that blends low dimensional topology, mathematical physics, geometry, and the theory of group representations. He is also involved in mathematics competitions such as the mathematical Olympiads and the W.L. Putnam Mathematical Competition. He is co-author of 2 published books (with Titu Andreescu), namely "Mathematical Olympiad Challenges" and the first edition of "Putnam and Beyond." In 2015 Gelca and Andreescu will also publish a monograph on Pell's Equations.

Titu Andreescu, University of Texas-Dallas, is highly involved with mathematics contests and olympiads. He was the Director of AMC (as appointed by the Mathematical Association of America), Director of MOP, Head Coach of the USA IMO Team and Chairman of the USAMO. He has also authored a large number of books on the topic of problem solving and olympiad-style mathematics including the first edition of "Putnam and Beyond" (with Razvan Gelca), "Mathematical Olympiad Treasures" and "Mathematical Olympiad Challenges" (with Razvan Gelca). Additional Springer publications include "Mathematical Bridges", "Complex Numbers from A to ...Z", "Number Theory" and a new monograph on Pell's Equations to be published in 2015.

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