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[Robert A Beeler] How to Count : An Introduction to Combinatorics and Its Applications(pdf){Zzzzz}[BЯ]

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Description

 							
  
  
  
  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.
  
  Product Description
 
From the Back Cover
  
  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.
  About the Author
  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. 
  
  Publisher: Springer; 2015 edition (27 March 2015)
  Language: English
  ISBN-10:
331913843X
  ISBN-13: 978-3319138435
  
   						

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