Recent content by Gingia

I'm not particularly well-versed with physics, so take this post with a pinch of salt (unless I'm actually right...unlikely) This post is mainly meant to help you get around what I think will be unavoidable - vector calculus in E&M. Personally, I prefer reading books that don't sweep the...

Thanks very much for the recommendations, everyone. @qspeechc: I should have been more specific, sorry about that. What I meant by 'starting from scratch' was to go over the material I already knew from elementary physics texts and courses more rigorously. Thanks for the recommendations!

Thanks very much! After reading the first few pages of 'Mechanics' online, this series of books looks perfect. Thanks a lot!

It's a good book, Penrose is a great writer. There's a whole lot of material in it; you'd probably want other books for each subject as well.

I'm not sure what you mean by 'fail', but mathematics cannot be fully 'logicized' in terms of first-order logic. This means that there are statements of mathematics that cannot be decided in first-order logic; in other words, if you think only within 'logicized' mathematics, you will discover...

Hi there; As a first book to go from what you know now to what you're trying to learn, I'd recommend a more theoretical treatment of linear algebra than the one you're familiar with (unless you took a theoretical linear algebra course). Valenza's book is excellent, and while I haven't read...

For vector calculus, you may want to look into Marsden & Tromba's book. It's in-between the more computationally oriented books and the more rigorous books. Also look at Hubbard & Hubbard on the topic, although their book is more for mathematics students.

Hi; It depends on how much rigour you're looking for. As light reading, Pinter's book is great. It's written conversationally, so you can easily get through it in a short period of time. I'd recommend that you read it before you get into any of the heavier books. Then I'd recommend reading...

Hi all; firstly, I thank all of you who respond to my question in advance. I'm a mathematics student with an advanced undergraduate background in most of what's associated with 'pure math', and my particular interest is in mathematical logic. I'd really like to teach myself physics - I have...