Combinatorial Reasoning: An Introduction to the Art of Counting

Written by well-known scholars in the field, this book introduces combinatorics alongside modern techniques, showcases the interdisciplinary aspects of the topic, and illustrates how to problem solve with a multitude of exercises throughout. The authors' approach is very reader-friendly and avoids the "scholarly tone" found in many books on this topic.

Combinatorial Reasoning: An Introduction to the Art of Counting:

• • Focuses on enumeration and combinatorial thinking as a way to develop a variety of effective approaches to solving counting problems
• • Includes brief summaries of basic concepts from probability, power series, and group theory to show how combinatorics interacts with other fields
• • Provides abstract ideas that are grounded in familiar concrete settings and features plentiful diagrams throughout to further add in reader understanding
• • Presents simple and helpful notations as needed, and simple cases are treated first before more general and/or advanced cases
• • Contains over 700 exercise sets, ranging from the routine to the advanced, with either hints, short answers, or complete solutions for odd numbered problems.