This ultimate unique application is for all students across the world. It covers 113 topics of Discrete Mathematics in detail. These 113 topics are divided in 5 units.
Each topic is around 600 words and is complete with diagrams, equations and other forms of graphical representations along with simple text explaining the concept in detail.
This USP of this application is "ultra-portability". Students can access the content on-the-go from anywhere they like.
Basically, each topic is like a detailed flash card and will make the lives of students simpler and easier.
Some of topics Covered in this application 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
83. Partial Order Relations on a Lattice
84. Least Upper Bounds and Latest Lower Bounds in a Lattice
85. Sublattices
86. Lattice Isomorphism
87. Bounded, Complemented and Distributive Lattices
88. Propositional Logic
89. Conditional Statements
90. Truth Tables of Compound Propositions
91. Precedence of Logical Operators and Logic and Bit Operations
92. Applications of Propositional Logic
93. Propositional Satisfiability
94. Quantifiers
95. Nested Quantifiers
96. Translating from Nested Quantifiers into English
97. Inference
98. Rules of Inference for Propositional Logic
99. Using Rules of Inference to Build Arguments
100. Resolution and Fallacies
101. Rules of Inference for Quantified Statements
102. Introduction to Algebra
103. Rings
104. Properties of rings
105. Subrings
106. Homomorphisms and quotient rings
107. Groups
108. Properties of groups
109. Subgroups
Product description
This ultimate unique application is for all students across the world. It covers 113 topics of Discrete Mathematics in detail. These 113 topics are divided in 5 units.
Each topic is around 600 words and is complete with diagrams, equations and other forms of graphical representations along with simple text explaining the concept in detail.
This USP of this application is "ultra-portability". Students can access the content on-the-go from anywhere they like.
Basically, each topic is like a detailed flash card and will make the lives of students simpler and easier.
Some of topics Covered in this application 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 83. Partial Order Relations on a Lattice 84. Least Upper Bounds and Latest Lower Bounds in a Lattice 85. Sublattices 86. Lattice Isomorphism 87. Bounded, Complemented and Distributive Lattices 88. Propositional Logic 89. Conditional Statements 90. Truth Tables of Compound Propositions 91. Precedence of Logical Operators and Logic and Bit Operations 92. Applications of Propositional Logic 93. Propositional Satisfiability 94. Quantifiers 95. Nested Quantifiers 96. Translating from Nested Quantifiers into English 97. Inference 98. Rules of Inference for Propositional Logic 99. Using Rules of Inference to Build Arguments 100. Resolution and Fallacies 101. Rules of Inference for Quantified Statements 102. Introduction to Algebra 103. Rings 104. Properties of rings 105. Subrings 106. Homomorphisms and quotient rings 107. Groups 108. Properties of groups 109. Subgroups
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