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Math-101(en) / Min/Max, Inf/Sup
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Infimum
Explains the concept of infimum in real numbers and its properties.
Convergence of Numerical Sequences
Explores the convergence of numerical sequences through monotonicity, boundedness, linear recurrence, and subsequences.
Infimum and Supremum: Understanding Bounded Sets
Explains infimum, supremum, Archimedes' properties, rational numbers density, and exercises on irrational numbers and minimum values.
Convergence and Limits in Real Numbers
Explains convergence, limits, bounded sequences, and the Bolzano-Weierstrass theorem in real numbers.
Convergence and Limits: Uniqueness and Order
Explores convergence, uniqueness, order, boundedness, and the relationship between boundedness and convergence in sequences.
Sequences and Convergence: Understanding Mathematical Foundations
Covers the concepts of sequences, convergence, and boundedness in mathematics.
More Results on Inf/Sup, Density of Q in R
Covers inf/sup, integral part of real numbers, and density of rational numbers.
Real Functions: Definitions and Theorems
Explores real functions, covering continuity, supremum, infimum, maximum, minimum, compact and connected sets, and the intermediate value theorem.
Inequality in Real Numbers
Explores the equivalence of inequalities to determine the least upper bound of a set.
Introduction to Analysis: Understanding Real Numbers and Proofs
Covers the basics of analysis, including real numbers, proofs, sets, and operations.