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Discrete Mathematics
Discrete Mathematics

Tags: Discrete Mathematics, Probability

Discrete Mathematics

The text is an excellent exposition of the essentials of Discrete Mathematics. This book is a product of long experience of teaching the subject in M.C.A. and B. Tech. courses in Calcutta University and the Institute of Engineering and Management for a number of years. The contents include propositional calculus, number theory, permutations and combinations, probability theory and graph theory. The groups, rings, fields and integral domains have come up for discussion as natural habitats of the domain of discrete mathematics. A sufficient amount of theory is included for those who enjoy the beauty of development of the subject and a wealth of applications as well for those who enjoy the power of problem solving techniques. Hopefully the students will benefit from the nice balance between the two. Apart from this the students will also enjoy the solved problems demonstrating various techniques.

   1. Set Theory  

   2. Mathematical Logic

   3. Number Theory 

   4. Combinatorics 

   5. Induction and Recursion

   6. Group Theory 

   7. Ring, Field, Integral Domain

   8. Lattice Theory

   9. Boolean Algebra 

  10. Fuzzy Set Theory     

  11. Probability                                              

  12. Random Variables

  13. Theoretical Distributions

  14. Graphs and Subgraphs

  15. Special Graphs

  16. Connectivity and Trees

  17. Planar Graphs

  18. Digraphs

  19. Automata Theory

       Index

  • Simple, precise and rigorous presentation.
  • Sufficient number of worked examples provided to clarify and illustrate various concepts and facts.
  • The exercises are mostly graded and motivating.
  • Plenty of exercises are appended at the end of each chapter to test the understanding of the subject.
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