The Extreme Value Theorem - Real Analysis | Lecture 13

Автор: Jason Bramburger

Загружено: 2022-02-17

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In this lecture we state and prove the extreme value theorem. The statement of the theorem requires definitions of maximal and minimal values of a function, while the extreme value theorem itself states that any continuous function on a closed interval achieves maximal and minimal values. We further show that the range of a continuous function on a closed interval is itself a closed interval. Finally, we provide an illustrative example showing that a quadratic polynomial has a global minimum over the entire real numbers.

This course is taught by Jason Bramburger.

The Extreme Value Theorem - Real Analysis | Lecture 13

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