Discrete Mathematics and Its Applications

Ken Rosen, a distinguished member of the technical staff at AT & T Labs, puts his expertise to work in his market-leading textbook entitled Discrete Mathematics and Its Applications, ISBN 9780073383095. This resource is designed with one- or two-term introductory discrete mathematics courses in mind taken by students from a wide variety of majors, including computer science, mathematics, and engineering. A thorough presentation of the foundational principles of discrete mathematics is combined with relatable application opportunities to challenge students in their critical thinking skills. These applications address a variety of areas including that of computer science, data networking, psychology, chemistry, engineering, linguistics, biology, business, and to many other important fields. Ken Rosen effectively organizes the concepts of Discrete Mathematics and Its Applications across 10 succinct chapters. This book begins with chapter 1 devoted to 'The Foundations: Logic, Sets, and Functions' followed by chapter 2 presenting readers with information surrounding 'The Fundamentals: Algorithms, the Integers, and Matrices. Chapter 3 focuses on topics under the umbrella of 'Mathematical Reasoning' with chapter 4 discussing 'Counting.' 'Advanced Counting Techniques' are presented in chapter 5 followed by 'Relations' examined in chapter 6. Chapter 7 delves into topics dealing with 'Graphs' while chapter 8 presents readers with information on 'Trees.' Chapter 9 delves into concepts related to 'Boolean Algebra' followed by the final chapter, 'Modeling Computation' discussed in chapter 10. An exhaustive appendix concludes this book with a comprehensive list of suggested readings, solutions to odd-numbered exercises presented in the chapters, as well as an index of biographies.