4 ms·
I appreciate the effort, but after a couple of pages I can already tell, that it wouldn't be something I wanted if it was the first time I'm learning calculus.
by krick 3y ago
I appreciate the effort, but after a couple of pages I can already tell, that it wouldn't be something I wanted if it was the first time I'm learning calculus. And even for a refresher it isn't exactly perfect.
IMO, the author is right about what's wrong with the most "proper" books, but overcompensates, and thus makes it unnecessarily complicated to understand, maybe even more so, than some "proper" textbooks. It is too wordy, too informal and pretty hard to read and follow. I don't need any Dean Swift poetry and references to "Queen Elizabeth's days", I just want to know what is calculus, why do we need it, and how do I actually do it, goddammit… That's if we follow the seemingly easier "engineering" approach. And we need it to be a bit more formal still if we follow even slightly more mathematical approach, which I think is actually necessary if you want even a bit of real understanding, because math is this thing where it's very easy to fool yourself into thinking you understand something, when you actually don't, and then get all flabbergasted and helpless against paradoxical "fake proofs" or being asked to prove anything yourself. And to tell valid derivation from invalid, yes, you do need some formal definitions.
And in fact, the (formal) basics really aren't difficult to understand at all. Everyone can readily agree that x² grows faster than x, and being introduced into concept of limits to see why (dx)² can be considered negligible compared to dx. You don't need to be comparing weeks to minutes for that. If anything, the latter only throws you off. And I feel like it takes way less patience to read a handful of formal definitions than pages of these "old British"-stylized ramblings.
Edit: oh, it isn't "stylized". Still, doesn't change the main point, that there are far better more recent resources to learn calculus.