- #1

- 49

- 4

As a hobby I want to learn QM, so started reading math from scratch three months ago. In order to get a quick overview I just read the curriculum from middle school through high school and has now finished all the lectures of the most demanding beginner's course in calculus at the University of Oslo. But have so far little practice in actively solving particular math assignments. My passive understanding of the general explanations of calculus is relatively good though, which means that I understand all the logical steps explained in the books and lectures.

With no prior knowledge about physics I need a good book which provides logical step-by-step explanations of how calculus equations are applied and related to dynamic phenomena in the real world. Explanations which include pictures or drawings that will give an intuitive and visual understanding of this relation.

I read fast and learn quickly if I just see the logic of things, so don't mind if a physics book has 3000 pages or more as long as all the calculus explanations in it secure a steady and relatively quick progress.

Halliday's book seems okay in one way, but the first chapter about velocity and acceleration does not provide thorough explanations. It's very short, and I don't see how one can use it to solve all the problems in the back of this chapter.

Have noticed in several math and physics books that some things, that are often basic, are explained really well, but in between there are also explanations (of difficult things) which skip several steps in how a conclusion is reached. This is probably done because the author(s) assume that the reader has prior knowledge, but when I'm reading an introductory book I want to see all the steps from the basic premises to the conclusion. So is there a calculus-based physics book which does that?

Btw, I know that I must use a lot of time on actively solving particular math problems, so I will do this too, but I'm only learning physics as a hobby, and only started with math three months ago, so it would be nice to know if there is a pedagogic physics book which I can read now without having much training so far in actively solving specific math assignments. Then I can practice on the way, after the book has thorougly explained how to solve particular calculus equations in relation to physics.

Also know that my path so far has been a bit unusual, because I have almost speed read all the general math explanations without actively solving particular equations yet, but my initial goal is just to get an overview of math and physics, in order to check if I have the necessary IQ to at least get a passive understanding of math at a university level required before studying quantum physics. I don't have much self-confidence regarding math, so didn't want to waste time on it if I didn't even understand the general explanations of it at a university level beginner's course. Now it will be even more motivating to learn math if it is related directly to calculus-based physics, so hope someone has written a book that can be helpful on this track.