Recent content by luxferre

This is a great open-access book also: https://linear.axler.net/LADR4e.pdf. I did not see anybody else post this book, so I will post it here.

Hint: 2^m−1≤n<2^m. Consider the invariant we chose for this problem. You got this!

Generally, Differential equations is the relationship of a function of time and its derivatives. An example of an differential equation would be dy/dt = f(t,y). Another example of an differential equation would be the equation f(x) = f'(x).

The difference is subtle and down to the difference in quantifers. In pointwise convergence, we fix X, but in uniform convergence, it converges for all X, as long as | fk(x) − f (x)| < ε is satsified. Does this answer your question?

Thanks for this great resource!