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Carte How to Count Robert A. Beeler

How to Count

An Introduction to Combinatorics and Its Applications

Autor: Robert A. Beeler
Limbă: engleză
Legare: Copertă tare
Editura: Springer International Publishing AG
Disponibilitate: În depozitul extern
Expediem în 10-13 zile
325.83 lei
Providing a self-contained resource for upper undergraduate courses in combinatorics, this text emph...

Informații despre carte

Autor
Robert A. Beeler
Limbă
engleză
Legare
Carte - Copertă tare
Publicat
2015
Pagini
361
EAN
9783319138435
ISBN
331913843X
Enbook ID
09090202
Editura
Springer International Publishing AG
Greutate
718
Dimensiuni
170 x 244 x 26

Descriere completă

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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