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A Textbook of Discrete Mathematics

A Textbook of Discrete Mathematics

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  • ISBN : 9789355018328
  • Pages : 816
  • Binding : Paperback
  • Language : English
  • Imprint : S Chand Publishing
  • © year : 2025
  • Size : 6.50*9.25

Price : 550.00 440.00

This comprehensive textbook offers a rigorous yet accessible introduction to fundamental concepts in discrete mathematics, designed for undergraduate and graduate students in computer science, computer engineering (including diploma and degree levels), BCA, MCA, and other IT-related professional programs.

Beginning with a survey of discrete mathematics and its importance, the book progresses through core areas such as mathematical logic, Boolean Algebra, Set Theory, Matrices and Number Theory. It also explores Relations, Functions, Posets, Lattices and Combinatorics, building a solid understanding of these crucial structures. Further chapters delve into Recurrence Relations, Generating Functions, Group Theory, Rings and Fields. A thorough treatment of graph theory, including graph coloring and matching, is provided, followed by an introduction to trees and their applications. The book concludes with chapters on vector spaces and an introduction to coding theory.

  • Clear and concise explanations of concepts, supported by numerous examples and illustrations.
  • A wealth of exercises at varying levels of difficulty to reinforce learning.
  • Emphasis on proof techniques and problem-solving strategies.
  • Coverage of both classical and contemporary topics in discrete mathematics.
  • Supplementary online chapters on language, grammar, automata, and probability.

This book serves as an invaluable resource for students seeking a solid foundation in discrete mathematics, preparing them for advanced coursework and research in related areas.

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

 

The book "A Textbook of Discrete Mathematics" is designed for all major branches of engineering.

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