Written by two well-known scholars in the field, Combinatorial
Reasoning: An Introduction to the Art of Counting presents a clear and
comprehensive introduction to the concepts and methodology of beginning
combinatorics. Focusing on modern techniques and applications, the book
develops a variety of effective approaches to solving counting problems.
Balancing abstract ideas with specific topical coverage, the book
utilizes real world examples with problems ranging from basic
calculations that are designed to develop fundamental concepts to more
challenging exercises that allow for a deeper exploration of complex
combinatorial situations. Simple cases are treated first before moving
on to general and more advanced cases. Additional features of the book
include:
- Approximately 700 carefully structured problems designed for readers
at multiple levels, many with hints and/or short answers
- Numerous examples that illustrate problem solving using both
combinatorial reasoning and sophisticated algorithmic methods
- A novel approach to the study of recurrence sequences, which
simplifies many proofs and calculations
- Concrete examples and diagrams interspersed throughout to further aid
comprehension of abstract concepts
- A chapter-by-chapter review to clarify the most crucial concepts
covered
Combinatorial Reasoning: An Introduction to the Art of Counting is an
excellent textbook for upper-undergraduate and beginning graduate-level
courses on introductory combinatorics and discrete mathematics.
