Discrete Mathematics is a branch of mathematics involving discrete elements that uses algebra and arithmetic. It is increasingly being applied in the practical fields of mathematics and computer science. It is a very good tool for improving reasoning and problem-solving capabilities. This tutorial explains the fundamental concepts of Sets, Relations and Functions, Mathematical Logic, Group theory, Counting Theory, Probability, Mathematical Induction and Recurrence Relations, Graph Theory, Trees and Boolean Algebra.
Some of the topics Covered in the app are:
1. Set Theory
2. Decimal number System
3. Binary Number System
4. Octal Number System
5. Hexadecimal Number System
6. Binary Arithmetic
7. Sets and Membership
8. Subsets
9. Introduction to Logical Operations
10. Logical Operations and Logical Connectivity
11. Logical Equivalence
12. Logical Implications
13. Normal Forms and Truth Table
14. Normal Form of a well formed formula
15. Principle Disjunctive Normal Form
16. Principal Conjunctive Normal form
17. Predicates and Quantifiers
18. Theory of inference for the Predicate Calculus
19. Mathematical Induction
20. Diagrammatic Representation of Sets
21. The Algebra of Sets
22. The Computer Representation of Sets
23. Relations
24. Representation of Relations
25. Introduction to Partial Order Relations
26. Diagrammatic Representation of Partial Order Relations and Posets
27. Maximal, Minimal Elements and Lattices
28. Recurrence Relation
29. Formulation of Recurrence Relation
30. Method of Solving Recurrence Relation
31. Method for solving linear homogeneous recurrence relations with constant coefficients:
32. Functions
33. Introduction to Graphs
34. Directed Graph
35. Graph Models
36. Graph Terminology
37. Some Special Simple Graphs
38. Bipartite Graphs
39. Bipartite Graphs and Matchings
40. Applications of Graphs
41. Original and Sub Graphs
42. Representing Graphs
43. Adjacency Matrices
44. Incidence Matrices
45. Isomorphism of Graphs
46. Paths in the Graphs
47. Connectedness in Undirected Graphs
48. Connectivity of Graphs
49. Paths and Isomorphism
50. Euler Paths and Circuits
51. Hamilton Paths and Circuits
52. Shortest-Path Problems
53. A Shortest-Path Algorithm (Dijkstra Algorithm.)
54. The Traveling Salesperson Problem
55. Introduction to Planer Graphs
56. Graph Coloring
57. Applications of Graph Colorings
58. Introduction to Trees
59. Rooted Trees
60. Trees as Models
61. Properties of Trees
62. Applications of Trees
63. Decision Trees
64. Prefix Codes
65. Huffman Coding
66. Game Trees
67. Tree Traversal
68. Boolean Algebra
69. Identities of Boolean Algebra
70. Duality
71. The Abstract Definition of a Boolean Algebra
72. Representing Boolean Functions
73. Logic Gates
74. Minimization of Circuits
75. Karnaugh Maps
76. Dont Care Conditions
77. The Quine MCCluskey Method
78. Introduction to Lattices
79. The Transitive Closure of a Relation
80. Cartesian Product of Lattices
81. Properties of Lattices
82. Lattices as Algebraic System
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| Learn Discrete Math Complete Guide Offline APK 1.0.0 | 2.58 MB | 1.0.0 |
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