Discrete Mathematics
Notes,quiz,blog and videos of discrete mathematics for engineering courses.
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Android App Analysis and Review: Discrete Mathematics, Developed by Engineering Hub. Listed in Education Category. Current Version Is 1.0.3, Updated On 28/10/2019 . According to users reviews on Google Play: Discrete Mathematics. Achieved Over 10 thousand Installs. Discrete Mathematics Currently Has 36 Reviews, Average Rating 3.2 Stars
Notes,quiz,blog and videos of discrete mathematics for engineering courses . Mostly topics are covered with diagrams which make easy to learn.it almost cover all important topics which are given belowChapter 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
10. into and onto function
11. Inverse Functions
12. Pigeonhole Principle
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
10. Infinite States and Infinite State Transitions
11. Finite state machines as language recognizers
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
10. chromatic number
11. Homomorphism and isomorphism of Groups
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
10. Binomial Theorem
11. Introduction to Recurrence Relation and Recursive algorithms
12. Linear recurrence relations with constant coefficients
13. Homogeneous solutions
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