A Textbook of Discrete Mathematics
A Textbook of Discrete Mathematics provides an introduction to fundamental concepts in Discrete Mathematics, the study of mathematical structures which are fundamentally discrete, rather than continuous. It explains how concepts of discrete mathematics are important and useful in branches of computer science, such as, computer algorithms, programming languages, automated theorem proving and software development, to name a few. Written in a simple and lucid style, it has a balanced mix of theory and application to illustrate the implication of theory. It is designed for the students of graduate and postgraduate courses in computer science and computer engineering. The students pursuing IT related professional courses may also be benefitted.
Contents: 1. A Brief Survey of Discrete Mathematics. 2. Mathematical Logic. 3. Boolean Algebra and Logic Circuits. 4. Set Theory. 5. Matrices. 6. Number Theory. 7. Relation. 8. Function. 9. Posets and Lattices. 10. Combinatorics. 11. Recurrence Relation and Generating Function. 12. Group Theory. 13. Rings and Fields. 14. Graph Theory – I. 15. Graph Theory – II. 16. Trees. 17. Language, Grammar and Automata. 18. Time Complexity of Algorithm. 19. Vector Spaces. 20. Elements of Coding Theory. References. Index.
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