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10 votes

Use a direct proof to show that if $x\gt 1$ then $x^5 +x+1\gt 2$.

algebra-precalculus inequality proof-verification asked Feb 16, 2016 at 21:26
math.stackexchange.com

10 votes

$\mathbb R^2$ is not homeomorphic to $\mathbb R^3$.

general-topology asked Jul 3, 2016 at 6:46
math.stackexchange.com

8 votes

A continuous bijection from $l_2 $ onto a subset of $l_2$ whose inverse is everywhere discontinuous.

functional-analysis asked Sep 30, 2016 at 18:16
math.stackexchange.com

8 votes

Egyptian square pyramid

number-theory asked Jun 17, 2016 at 5:30
puzzling.stackexchange.com

7 votes

$\cos(\theta_n) \to \cos(\theta)$ and $\sin(\theta_n) \to \sin(\theta)$. How to show that $\theta_n \to \theta$?

real-analysis sequences-and-series continuity asked Sep 6, 2017 at 4:28
math.stackexchange.com

6 votes

Find the area lying inside the cardioid $r=1+\cos\theta$ and outside the parabola $r(1+ \cos\theta)=1$

multivariable-calculus area polar-coordinates curves multiple-integral asked Oct 1, 2017 at 15:46
math.stackexchange.com

6 votes

Does fundamental group distinguish between any two non homeomorphic topological space?

algebraic-topology fundamental-groups asked Jul 3, 2016 at 12:37
math.stackexchange.com

5 votes

Find the sides of the triangle.

geometry triangle asked Jun 23, 2016 at 4:33
math.stackexchange.com

5 votes

Lagrange multiplier on unit sphere for $f(x,y,z)=x^2+2y^2+3z^2$

calculus multivariable-calculus optimization lagrange-multiplier asked Dec 6, 2016 at 20:39
math.stackexchange.com


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