How to Count

An Introduction to Combinatorics and Its Applications

Nonfiction, Science & Nature, Mathematics, Combinatorics, Statistics
Cover of the book How to Count by Robert A. Beeler, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Robert A. Beeler ISBN: 9783319138442
Publisher: Springer International Publishing Publication: March 14, 2015
Imprint: Springer Language: English
Author: Robert A. Beeler
ISBN: 9783319138442
Publisher: Springer International Publishing
Publication: March 14, 2015
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Post-Conflict Power-Sharing Agreements by Robert A. Beeler
Cover of the book Design Thinking Research by Robert A. Beeler
Cover of the book Applied Jewish Values in Social Sciences and Psychology by Robert A. Beeler
Cover of the book Human Rights and Incarceration by Robert A. Beeler
Cover of the book The Parasite-Stress Theory of Values and Sociality by Robert A. Beeler
Cover of the book Metal Impurities in Silicon- and Germanium-Based Technologies by Robert A. Beeler
Cover of the book Human Governance Beyond Earth by Robert A. Beeler
Cover of the book Hybrid Systems Biology by Robert A. Beeler
Cover of the book Gay Indians in Brazil by Robert A. Beeler
Cover of the book New Trends in Medical and Service Robots by Robert A. Beeler
Cover of the book Landscapes and Landforms of the Lesser Antilles by Robert A. Beeler
Cover of the book Perspectives on Peacekeeping and Atrocity Prevention by Robert A. Beeler
Cover of the book Critical Perspectives on Veganism by Robert A. Beeler
Cover of the book Mechanical Circulatory Support in End-Stage Heart Failure by Robert A. Beeler
Cover of the book Foundations of Programming Languages by Robert A. Beeler
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy