Lecture 2: Introduction to Real Numbers (cont.)

MIT 18.100B Real Analysis, Spring 2025 Instructor: Tobias Holck Colding View the complete course: https://ocw.mit.edu/courses/18-100b-r... YouTube Playlist:    • MIT 18.100B Real Analysis, Spring 2025   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. License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu Support OCW at http://ow.ly/a1If50zVRlQ We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.