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How to Count: An Introduction to Combinatorics, Second Edition

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Book Details
Format: Paperback
Language: English
ISBN-13: 9781138061125
Writer: R. B. J. T. Allenby
Book Edition: 2nd Edition
Publisher: CRC Press
Pages: 446
Binding: Paperback
Subject/Category: Combinatorics / Mathematics

Description
How to Count: An Introduction to Combinatorics (2nd Edition) by R. B. J. T. Allenby presents a clear, problem-solving-based introduction to the fundamental concepts of combinatorics. Designed for both classroom instruction and independent study, this comprehensive edition guides readers through the logic and methods required to tackle a wide range of counting problems.

Key highlights:
• Emphasizes a concrete, example-driven approach before diving into theoretical frameworks
• Covers essential combinatorial techniques: inclusion-exclusion, recurrence relations, generating functions, and Pólya’s theorem
• Adds seven new chapters including graph theory, trees, Catalan and Stirling numbers, Ramsey theory, and more
• Features over 450 exercises to test and reinforce understanding

This newly expanded edition makes combinatorics accessible and engaging, serving as an ideal resource for students and professionals seeking a deeper understanding of how to count effectively in mathematics.