Recent content by NathanaelNolk

So I have been reading '2D Topological Quantum Field Theory and Frobenius Algebras' by Joachim Kock recently and I couldn't help but wonder, how is this related to physics? I'm currently in the first chapter and he defined a TQFT as a monoidal functor. Now this seems somewhat abstract (which I...

Finally doing some more advanced mathematics with 'Introduction to Smooth Manifolds' by John M. Lee. I also bought Tu's 'An Introduction to Manifolds' which was in the Springer yellow sale collection this year. So far it's been pretty enjoyable, a bit difficult considering I'm not at a grad...

If you want a taste of more advanced mathematics, Serge Lang's Basic Mathematics is a great book by a great author. As for precalculus, I highly suggest Simmons' Precalculus in a Nutshell (it covers algebra too). You can find it for less than 20 bucks on Amazon. Cohen's Precalculus is another...

You can't go wrong with C++ Primer. https://www.amazon.com/dp/0321714113/?tag=pfamazon01-20

Sorry, what? Well anyway, I think it really depends on what you want. First of all, are you actually interested in the course? Is it at the right level for you? (Ask the instructor directly, as micromass said).

For mathematics students, I really like Treil's Linear Algebra done wrong (LADW). It covers more than your usual introduction to linear algebra (and it's free!). A somewhat easier introduction that is still very good is Lang's Introduction to Linear Algebra. His explanations are very lucid and...

What about Taylor's Classical Mechanics?

You're missing the point. A solutions' manual directly tells you whether you got problems wrong or not. This adds motivation and helps learners make sure they actually know the material. No one is going to post every problem set they work through on PF, people aren't devoid of shyness...

The problem isn't with the solution manuals but with people not being able to work through the exercises without taking a peek at the solutions. If you just started university and you go through calculus almost alone (or worse yet, if you're a self-learner), a solutions manual is a great way to...

Did you work through the problems too? If so, I think you are ready to tackle Schutz. His special relativity chapter will be valuable if the only SR you have seen comes from K&K or the likes. What's more, if you find it too difficult, you can always go back to easier books.

It seems to me you have the level suited for studying GR out of Schutz's book. May I ask what books you learned physics with? You said you were self-studying. Can you solve problems, or do you have only a theoretical understanding? If you thoroughly studied the physics subjects that you listed I...

I find it intriguing that considering all the questions and good answers the people here gave you, the only thing you did was reply with an excuse. Nidum's question is very pertinent to the matter at hand. What exactly do you know, outside of physics? What skills can you put on your resume that...

That is indeed true for a definite integral, but this insight is considering indefinite integrals, which deals with the problem of finding antiderivatives.

I'm already guessing the answer but, is there a way to get a link for the Japanese amazon? I get quite some stuff there, including books and the likes that I can't find on the main site.

Oh my bad, then allow me to add Jänich's superb book on Topology. It is highly visual and geometric. His approach of metric spaces is just great, but you'll need to get exercises elsewhere.