A foundational course for understanding properties of real numbers and how they relate to things such as measure theory.
This course introduces the fundamental ideas behind real analysis, including topics such as properties of the real numbers, sequences and series, the topology of the real numbers and much more!
As you progress through this course, you will find links to related topics in other courses (such as calculus, measure theory and probability). This interconnected structure is designed to help you quickly revisit prerequisite ideas without breaking your workflow.
We must begin with a discussion of what a real numbers are, why we care about them, and examples of when it is useful.
If you want the fast version, below is a short video introducing limits.
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More to come!