Combinatorics

<p><b>Bridges combinatorics and probability and uniquely includes detailed formulas and proofs to promote mathematical thinking</b></p> <p><i>Combinatorics: An Introduction</i> introduces readers to counting combinatorics, offers examples that feature unique approaches and ideas, and presents case-by-case methods for solving problems.</p> <p>Detailing how combinatorial problems arise in many areas of pure mathematics, most notably in algebra, probability theory, topology, and geometry, this book provides discussion on logic and paradoxes; sets and set notations; power sets and their cardinality; Venn diagrams; the multiplication principal; and permutations, combinations, and problems combining the multiplication principal. Additional features of this enlightening introduction include:</p> <ul> <li>Worked examples, proofs, and exercises in every chapter</li> <li>Detailed explanations of formulas to promote fundamental understanding</li> <li>Promotion of mathematical thinking by examining presented ideas and seeing proofs before reaching conclusions</li> <li>Elementary applications that do not advance beyond the use of Venn diagrams, the inclusion/exclusion formula, the multiplication principal, permutations, and combinations</li> </ul> <p><i>Combinatorics: An Introduction</i> is an excellent book for discrete and finite mathematics courses at the upper-undergraduate level. This book is also ideal for readers who wish to better understand the various applications of elementary combinatorics.</p>