Download or read book Combinatorial Reasoning written by Duane DeTemple and published by John Wiley & Sons. This book was released on 2014-04-08 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by two well-known scholars in the field,Combinatorial Reasoning: An Introduction to the Art ofCounting presents a clear and comprehensive introduction to theconcepts and methodology of beginning combinatorics. Focusing onmodern techniques and applications, the book develops a variety ofeffective approaches to solving counting problems. Balancing abstract ideas with specific topical coverage, thebook utilizes real world examples with problems ranging from basiccalculations that are designed to develop fundamental concepts tomore challenging exercises that allow for a deeper exploration ofcomplex combinatorial situations. Simple cases are treated firstbefore moving on to general and more advanced cases. Additionalfeatures of the book include: • Approximately 700 carefully structured problems designedfor readers at multiple levels, many with hints and/or shortanswers • Numerous examples that illustrate problem solving usingboth combinatorial reasoning and sophisticated algorithmicmethods • A novel approach to the study of recurrence sequences,which simplifies many proofs and calculations • Concrete examples and diagrams interspersed throughout tofurther aid comprehension of abstract concepts • A chapter-by-chapter review to clarify the most crucialconcepts covered Combinatorial Reasoning: An Introduction to the Art ofCounting is an excellent textbook for upper-undergraduate andbeginning graduate-level courses on introductory combinatorics anddiscrete mathematics.