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In this blog post, I will talk about concepts of continuity and convexity. In particular, I will illustrate one important relationship between these two properties a function may have. All of my definitions and references will be from Rudin’s Principles … Continue reading
Since first year calculus textbooks (the ones I have been exposed to) pushes the proofs to appendix, or just dismisses the proof altogether with “this is beyond the scope of the text”, the theory behind Taylor series (and polynomials) always … Continue reading