Lecture 2: Introduction to Real Numbers (cont.)

MIT 18.100B Real Analysis, Spring 2025
Instructor: Tobias Holck Colding
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We will get deeper into some of the properties of the real numbers that we will need and use in the class. This will include completeness in the form of least upper bound property of a bounded subset of the reals. We will also see that the set of rational numbers is not complete and we will therefore need a larger set of numbers. This larger set is the reals.

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