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Home > Science, Technology & Agriculture > Technology: general issues > Maths for engineers > Discrete Mathematics
Discrete Mathematics

Discrete Mathematics


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About the Book

This textbook has been written for students pursuing a BE/BTech in computer science or a MCA/MTech, DOEACC-B Level or equivalent course. The topics covered are self-contained and include sets, relations, recurrence relations, generating functions, posets, lattices, methods of proofs, the Quine McKluskey method, Floyed Warshall's algorithm, finite automata and bipartite graphs. Only necessary theorems have been included and, wherever required, their applicability has been demonstrated using appropriate examples. The text makes extensive use of diagrams and contains a number of solved examples and exercises for hands on experience.

Table of Contents:
Set and relation: sets and its representative; types of sets; operations on sets; principles of inclusion and exclusion; relations and its type; equivalence relation; digraph and matrix representation of relation; closures of relations; exercises. Function and generating function: types of functions; order of function; sequences and series; generating functions; exercises. Solving recurrence relation: classifications of recurrence relation; backtracking and forward chaining method; characteristics equation method; generating function method; exercises. Combinatorics: methods of proofs; permutations; combinations; pigeon hole principles; exercises. Group: definitions and properties; subgroup; homomorphism of groups; cyclic group; permutation group; exercises. Ordered set: postet; lattice; finite Boolean algebra; optimization of Boolean expression; propositional calculus; exercise. Graph theory and tree: graphs introduction; different types of graphs; path and circuits; shortest path algorithms; coloring of graphs; definitions and types of tree; tree and graph traversals; minimum spanning tree; exercise. Finite automata: grammar and languages; regular expressions; finite state machine; minimization of finite state machine; exercise.

About the Author :
The author is a postgraduate in mathematics. He did his MCA in 1990 from school of computer and system sciences, Jawaharlal Nehru university in New Delhi


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Product Details
  • ISBN-13: 9788176566391
  • Publisher: BPB Publications
  • Publisher Imprint: BPB Publications
  • Height: 200 mm
  • No of Pages: 450
  • Width: 140 mm
  • ISBN-10: 817656639X
  • Publisher Date: 01 Jan 2015
  • Binding: Paperback
  • Language: English
  • Spine Width: 40 mm


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