How to Count: An Introduction to Combinatorics and Its Applications - Tapa blanda

Beeler, Robert A. A.

 
9783319355085: How to Count: An Introduction to Combinatorics and Its Applications
Tapa blanda
ISBN 10: 3319355082 ISBN 13: 9783319355085
Editorial: Springer, 2016

Sinopsis

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.

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Acerca del autor

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.

De la contraportada

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.

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Editorial
Springer
Año de publicación
2016
Idioma
Inglés
ISBN 10 
3319355082
ISBN 13 
9783319355085
Encuadernación
Tapa blanda
Número de páginas
380
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9783319138435: How to Count: An Introduction to Combinatorics and Its Applications

Edición Destacada

ISBN 10:  331913843X ISBN 13:  9783319138435
Editorial: Springer, 2015
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