It is designed swipe based for engineering student of all streams to learn discrete mathematics. It almost cover all important topics which are covered chapter wise. Chapter 1 Set Theory, Relation, Function, Theorem Proving Techniques 1. Set Theory 2. countable and uncountable sets 3. Venn Diagrams 4. proofs of some general identities on sets Relation in Venn Diagrams 5. types of relation 6. composition of relations 7. Equivalence relation 8. Partial ordering relation 9. one-to-one Function Chapter 2 Algebraic Structures 1. Algebraic structures 2. Abelian group 3. Subgroups 4. cyclic group 5. Homomorphism and isomorphism of Groups 6. Rings and Fields Chapter 3 Propositional Logic 1. Proposition 2. Conditional Statements 3. Truth Tables of Compound Propositions 4. Logic and Bit Operations 5. PROPOSITIONAL EQUIVALENCES 6. Logical Equivalences 7. Constructing New Logical Equivalences 8. Predicates 9. Quantifiers Chapter 4 Graph Theory 1. Introduction of graphs 2. Basic Terms of Graph Theory 3. Planer graphs 4. multigraph 5. isomorphic Graph 6. paths, cycles, trails, and circuits 7. Shortest paths 8. Eulerian and Hamiltonian paths and circuits 9. Graph coloring Chapter 5 Posets, Hasse Diagram and Lattices 1. Posets, Hasse Diagram 2. ordered set 3. Hasse diagrams 4. isomorphic ordered set 5. well ordered set 6. properties of Lattices 7. bounded and complemented lattices 8. Combinatorics 9. Permutation and combination
Manufacturer: chaimob
Brand: chaimob
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