Lecture 5: The Archimedian Property, Density of the Rationals, and Absolute Value
MIT 18.100A Real Analysis, Fall 2020
Instructor: Dr. Casey Rodriguez
View the complete course: http://ocw.mit.edu/courses/18-100a-real-analysis-fall-2020/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61O7HkcF7UImpM0cR_L2gSw
We show that the real numbers satisfy the Archimedean property, a property we will constantly use, and we prove rationals are dense in the reals. We also rigorously define absolute values and the properties that follow from this definition.
License: Creative Commons BY-NC-SA
More information at https://ocw.mit.edu/terms
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Видео Lecture 5: The Archimedian Property, Density of the Rationals, and Absolute Value канала MIT OpenCourseWare
Instructor: Dr. Casey Rodriguez
View the complete course: http://ocw.mit.edu/courses/18-100a-real-analysis-fall-2020/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61O7HkcF7UImpM0cR_L2gSw
We show that the real numbers satisfy the Archimedean property, a property we will constantly use, and we prove rationals are dense in the reals. We also rigorously define absolute values and the properties that follow from this definition.
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.
Видео Lecture 5: The Archimedian Property, Density of the Rationals, and Absolute Value канала MIT OpenCourseWare
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