Q&A for people studying math at any level and professionals in related fields

Given the equations $x^2+2y^2 \leq 1$, and $x+y+z=1$, how do I find the surface area of their intersection? I approached this question by first parameteri...

I was just wondering if someone would be kind enough to tell me in what order (I know that there is no real "best order") one would most profitably study ...

In linear algebra we have been talking a lot about the three elementary row operations. What I don't understand is why we can't multiply by any ...

The infamous "$\pi = 4$" proof was already discussed here: Is value of $\pi = 4$? And I have read all the answers, yet I think that they will not be of mu...

Homework Problem: Show that $(1-i)^{7}=8(1+i)$ by converting to polar form, taking the seventh power, and then converting back to standard form. Here is w...

Can someone point me to a proof that the set of irrational numbers is uncountable? I know how to show that the set $\mathbb{Q}$ of rational numbers is cou...

Let the functor $F\colon\bf Ring\rightarrow\bf Grp$ send the ring $A$ to its group of units $A^\times,$ and the ring homomorphism $f\colon A\rightarrow B$...

Consider the recursion $$ X_1 = 10 \quad \&\quad X_{n+1} = \sqrt {3+2X_n}$$ Is it monotonic or not? problem What I have done so far. $X_1 = 10$ $X_2 =...

I came across a question where I needed to find the sum of the factorials of the first $n$ numbers. So I was wondering if there is any generic formula for...