Discrete Mathematics Research Progress

Chartrand and Zhang's Introductory Discrete Mathematics presents a clearly written, student-friendly introduction to Introductory Discrete Mathematics. The authors draw from their back-ground as researchers and educators to offer lucid discussions and descriptions fundamental to the subject of Introductory Discrete Mathematics. Unique among discrete math-ematics textbooks for its treatment of proof techniques and graph theory, topics discussed also include logic, relations and functions (especially equivalence relations and bijective functions), algorithms and analysis of algorithms, introduction to number theory, combinatorics (counting, the Pascal triangle, and the bino-mial theorem), discrete probability, partially ordered sets, lattices and Boolean algebras, cryptography, and finite-state machines. This highly versatile text provides mathematical background used in a wide vari-ety of disciplines, including mathematics and mathematics education, computer science, biology, chemistry, engineering, communications, and business. Some of the major features and strengths of this textbook: Numerous, carefully explained examples and applications facilitate learning. More than 1,600 exercises, ranging from elementary to challenging, are included with hints/answers to all odd-numbered exercises. Descriptions of proof techniques are accessible and lively. Students benefit from the historical discussions throughout the textbook. An Instructor's Manual contains complete solutions to all exercises.