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# Discrete Mathematical Structures

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Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic – do not vary smoothly in this way, but have distinct, separated values. Discrete mathematics therefore excludes topics in "continuous mathematics" such as calculus or Euclidean geometry. Discrete objects can often be enumerated by integers. More formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets (finite sets or sets with the same cardinality as the natural numbers). However, there is no exact definition of the term "discrete mathematics."Indeed, discrete mathematics is described less by what is included than by what is excluded: continuously varying quantities and related notions.

• Total 1 Module
• 40 Videos
• Published on 29 June, 2019

## Discrete Structures

• Propositional Logic

56m
• Propositional Logic (Contd.)

57m
• Predicates & Quantifiers

57m
• Predicates & Quantifiers (Contd.)

59m
• Logical Inference

59m
• Resolution Principles & Application to PROLOG

58m
• Methods of Proof

58m
• Normal Forms

58m
• Proving programs correct (Contd.)

53m
• Sets

53m
• Induction

53m
• Relations

57m
• Set Operations On Strings

57m
• Graphs

55m
• Graphs (Continued)

55m
• Trees

57m
• Trees And Graphs

56m
• Special Properties Of Relations

57m
• Closure Of Relations

56m
• Closure Properties Of Relations

57m
• Order Relations

56m
• Order Relations And Equivalence Relations

56m
• Equivalence Relations And Partitions

56m
• Functions

55m
• Functions (Continued)

57m
• Functions (Continued)

57m
• Permutations And Combinations (Continued)

59m
• Permutations And Combinations

59m
• Pigeonhole Principle

59m
• Recurrence Relations (Continued)

54m
• Recurrence Relations (Continued)

54m
• Recurrence Relations

54m
• Generating Functions (Continued)

54m
• Generating Functions

54m
• Algebras

55m
• Algebras (Continued)

55m
• Algebras (Continued)

55m
• Finite State Automaton

57m
• Finite State Automaton (Continued)

57m
• Lattices

57m

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