Do you know the lorentz factor and the time dilation formula? From the time dilation formula it is clear that the v^2/c^2 term is negligible for smalll speeds, as it will roughly equal zero. We then see that as the velocity approaches the speed of light, these changes become more apparent, and...
Homework Statement
A block of mass 2.0kg rests on top of another block of mass 10.0kg that itself rests on a frictionless table. The largest frictional force that can develop between the two blocks is 16N. Calculate the largest force with which the bottom block can be pulled so that both...
How can a high school student, such as myself gain research experience? I'm not talking about anything overly impressive. I am just talking about possibly doing something along the lines of a research mentor-ship with a physicist from a local university or something. Am i already asking too...
thanks for the input. I have had some experience with proofs before, as I have read several number theory texts, where the format is basically, theorem, proof, corollary, etc. Do you feel as though Courant or Spivak would be a better choice?
I am extremely interested in mathematics, and most probably plan to major in it. Do you guys feel as though this book would be accessible to a high-school student, willing to gain a more rigorous understanding of calculus? I have already completed calculus 1 and found it rather easy, and I am...
Thanks for the response mathwonk. It's interesting to get some perspective from a real mathematician. I think in particular for me, number theory is my favourite, as it gives rise to such beautiful problems and proofs. Also, I was curious, do you have any bias towards the applied mathematical...
Hey mathwonk, I was wondering if you consider there to be greater levels of prestige amongst different areas in mathematics? Like, are there any area's of mathematics which mathematicians generally view as more important than others, or areas of mathematics which mathematicians view as more...
Wow, please don't attempt differential geometry, if you haven't even done calculus. In my opinion linear algebra and set theory are two very important subjects to learn, and can also get quite interesting. Highschools seem to put a lot of emphasis on calculus, but in actual fact, linear algebra...