Topic: Categories of continuity: uniform continuity, absolute continuity, Lipschitz continuity
The written portion of this project should be around 5-7 pages (before references). Each write-up should include the following three components:
1- Historical context/motivation.
2- Detailed mathematical explanation.
3- Discussion of how the results/ideas/concepts are used more broadly.
In terms of writing style, write as though you were writing part of a textbook (directed to college students who are taking upper classes). In the "detailed mathematical explanation" make sure to explain any new notation, provide plenty of justification for the steps in the proof, and explain as best as you can the overall strategy of the proof.
Please include a references section at the end.
you can use the book I uploaded.
please do not Plagiarism
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