Recent content by dustball

Try "Mathematical methods of classical mechanics," "Ordinary differential equations" and "Partial differential equations" by V.I. Arnold. "Analysis by its history" by Hairer and Wanner is very nice too. Enjoy :-)

Walter Greiner, Classical Mechanics.

Try V.I. Arnold, Mathematical Methods of Classical Mechanics, or Abraham and Marsden, Foundations of Mechnics.

In challenge 1 none of the operators involved have a finite trace.

But endeed, the full power of classical analysis and limit theory is not needed to understand differentiation. It can be done on a more elementary level. Unfortunately not too many people are aware of it.

Sorry, this definition does not work, consider the derivative of ## x^3 ## at ## x=0 ## or ## x^2sin(x^{-2}) ## (taken to be 0 at 0) at ## x=0 ##.

Correct.

For SR try The Feynman lectures, vol. 1.

As the general math background for physics, V.I. Arnold's Mathematical Methods of Classical Mechanics is the best.

And there is a great book "Gravitation" by Mister, Thorne and Wheeler that explains all the math along with GR, fun to read, try it.

Pick up the book "The Principle of Relativity" and try to read the Einstein's paper on GR. You will see the math you need. Good luck.

Can you see whether G'(x) is positive or negative for positive x?

Looks like your teacher is wrong, the function is continuously differentiable.

http://www.arxiv.org/abs/hep-th/0008072 http://www.arxiv.org/abs/quant-ph/0208151 Type in spin statistics into the title window for a lot more, search both physics and math, enjoy.

There are some other nice articles on the subject in arxiv.org. I especially liked the ones by Robert Oeckl and by Bernd Kuckert. It looks like a lot of confusion is created by forgetting that the individual particles don't exist, the n-particle states live on the n-configuration space...