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Discreate Mathematics

Brand: Ashish Kumar
MPN: com.faadooengineers.discretemathematics
Category: App (Science)
Price: $0.00
Availability: Available instantly on compatible devices
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Features

  • 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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