How to Count: An Introduction to Combinatorics and Its Applications - Couverture rigide

Beeler, Robert A.

 
9783319138435: How to Count: An Introduction to Combinatorics and Its Applications
Couverture rigide
ISBN 10 : 331913843X ISBN 13 : 9783319138435
Editeur : Springer International Publishing AG, 2015

Synopsis

Providing a self-contained resource for upper undergraduate courses in combinatorics, this text emphasizes computation, problem solving, and proof technique. In particular, the book places special emphasis the Principle of Inclusion and Exclusion and the Multiplication Principle. To this end, exercise sets are included at the end of every section, ranging from simple computations (evaluate a formula for a given set of values) to more advanced proofs. The exercises are designed to test students' understanding of new material, while reinforcing a working mastery of the key concepts previously developed in the book. Intuitive descriptions for many abstract techniques are included. Students often struggle with certain topics, such as generating functions, and this intuitive approach to the problem is helpful in their understanding. When possible, the book introduces concepts using combinatorial methods (as opposed to induction or algebra) to prove identities. Students are also asked to prove identities using combinatorial methods as part of their exercises. These methods have several advantages over induction or algebra.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Robert A. Beeler is an Associate Professor of Mathematics at East Tennessee State University. His research interests include enumerative combinatorics and graph theory; edge decompositions of graphs, graceful labelings on graphs, intersection/representation theory, and combinatorial designs; combinatorial games and games on graphs. He is a member of the Mathematics Association of America, the American Mathematical Society, and the Institute of Combinatorics and its Applications.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer International Publishing AG
Date d'édition
2015
Langue
anglais
ISBN 10 
331913843X
ISBN 13 
9783319138435
Reliure
Relié
Nombre de pages
376
Coordonnées du fabricant
ProductSafety@springernature.com
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Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9783319355085: How to Count: An Introduction to Combinatorics and Its Applications

Edition présentée

ISBN 10 :  3319355082 ISBN 13 :  9783319355085
Editeur : Springer, 2016
Couverture souple