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Discrete Mathematics(English, Paperback, Chandrasekaran N.)

Discrete Mathematics(English, Paperback, Chandrasekaran N.)

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Written with a strong pedagogical focus, this book is an exhaustive presentation of the fundamental concepts of discrete mathematical structures and their applications in computer science and mathematics. It aims to develop the ability of the students to apply mathematical thought in order to solve computation-related problems. The book is intended not only for the undergraduate and postgraduate students of mathematics but also, most importantly, for the students of Computer Science & Engineering and Computer Applications. The introductory chapter presents an overview of the foundations of the subject, consisting of topics such as logic, set theory, relations, functions, algebraic structures, and graphs. The subsequent chapters provide detailed coverage of each of these topics as well as major areas of discrete mathematics such as combinatorics, lattices and Boolean algebras. Major applications such as computer models and computation, coding theory, cryptography and databases are dealt with in the final chapters of the book. The book is replete with features which enable the building of a firm foundation of the underlying principles of the subject and also provide adequate scope for testing the comprehension acquired by the students. Each chapter contains numerous worked-out examples within the main discussion as well as several chapter-end Supplementary Examples for revision. The Self-Test and Exercises at the end of each chapter provide large numbers of objective type questions and problems respectively. Answers to objective type questions and hints to exercises are also provided. All these pedagogic features, together with thorough coverage of the subject matter, make this book a very readable text for beginners as well as advanced learners of the subject. About the Author N. Chandrasekaran, Ph.D., has been Professor of Mathematics at St. Joseph’s College, Tiruchirapalli. Prof. Chandrasekaran has many years of experience in teaching mathematics at the undergraduate and postgraduate levels in reputed institutions. M. Uma Parvathi, M.Phil., has been Professor of Mathematics at Seethalakshmi Ramaswami College, Tiruchirapalli. Prof. Uma Parvathi has a decade of experience in teaching mathematics at the undergraduate and postgraduate levels. Table of Contents Preface 1. Foundations 2. Predicate Calculus 3. Combinatorics 4. More On Sets 5. Relations And Functions 6. Recurrence Relations 7. Algebraic Structures 8. Lattices 9. Boolean Algebras 10. Graph Theory 11. Trees 12. Models Of Computers And Computation 13. Additional Topics Further Reading Index