Interval (mathematics)

Related lectures (31)

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Explores intervals in real numbers, including open and closed intervals, periodic decimals, and irrational numbers.

Explains the Intermediate Value Theorem for continuous functions on closed intervals.

Explores the theorems on maximum and minimum values of functions and their relation to continuity.

Explores continuous functions on open intervals and elementary functions constructed from algebraic functions.

Explores infimum, supremum, and absolute value concepts with examples and proofs.

Explores the increment theorem and derivatives in calculus, focusing on polygonal valleys and curve traces.

Explores reciprocal functions, strict monotonicity, and continuity in advanced analysis.

Explains generalized integrals with simplified concepts, convergence criteria, and variable changes in integration.

Covers the definition of integrals of type 1 and the importance of continuity.

Covers the demonstration of the BH theorem and the continuity of functions.