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.
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