Logic and Set Theory
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Operations on Sets
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Irrational Numbers
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Bounded and Unbounded Sets in R
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- Bounded set
- Supremum and Infimum
- Method for finding Supremum (L.U.B)
- Example (Finding Sup')
- Method for finding Infimum (G.L.B)
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4 - Density of Reals
- Exercise 5
- Exercise 6 - N is unbounded
- Exercise 7
- Exercise 8
- Exercise 9
- Exercise 10
- Exercise 11
- Exercise 12
- Exercise 13
- Exercise 14
- Exercise 15 - Density of Rationals and Irrationals
- Exercise 16 - Dense Set, Rational and irrational
- Exercise 17
- Exercise 18

Further properties of bounded sets
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Mathematical Induction
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Summation and Sigma notation
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Famous Inequalities
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Advanced Theory Exercises
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