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infinet | 3 months ago
I really appreciate author’s effort and for releasing the PDF to the public. There are however areas I think could be made more helpful.
In the chapter on Trigonometric Functions, it begins with discussion of the derivative of the exponential function is itself, and then moves on to define sine and cosine via second degree derivatives. While interesting, this may not be the most helpful approach for intended readers.
The following chapter on Taylor Series also starts with a long discussion about the value of e. It is interesting, but it can feel a bit distracted from the main topic. The treatment of Taylor polynomials might benefit from a different approach similar to other texts.
infinet|3 months ago
ocherek|2 months ago