Introduction To Combinatorial Analysis Dover Ed John Riordan by John Riordan 9780486425368, 0486425363 instant download after payment.

This introduction to combinatorial analysis defines the subject as "the number of ways there are of doing some well-defined operation." Chapter 1 surveys that part of the theory of permutations and combinations associated with elementary algebra, which leads to the extended treatment of generating functions in Chapter 2. Chapter 3 considers the principle of inclusion and exclusion, which is indispensable to the enumeration of permutations with restricted position given in Chapters 7 and 8. Chapter 4 examines the enumeration of permutations in cyclic representation, while Chapter 5 surveys the theory of distributions and Chapter 6 considers partitions, compositions, and the enumeration of trees and linear graphs. Each chapter includes a problem section. Unabridged republication of the edition published by John Wiley & Sons, Inc., Canada, 1958.