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This one is a hard pass. The book needs tighter editing and more rigorous reviewing. It tries to serve all at once, but ends up in an awkward middle ground. No
by belter 11mo ago
This one is a hard pass. The book needs tighter editing and more rigorous reviewing.
It tries to serve all at once, but ends up in an awkward middle ground. Not deep enough to function as a real analysis text for Mathematicians, yet full of proofs that Scientists and Engineers do not care about, while failing to deliver the kind of practical rigor, those groups need when using calculus as a tool.
- infinet 11mo agoAgreed. 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 11mo agoI used LLM to rewrite above comment to make it sounds less negative. Then I read those two chapters again. This book adds complexities to simple concepts. There are good math books for non-math majors, but this isn't one of them.
- ocherek 11mo agoCould you please provide some examples of the good books which you mentioned?