New posts in analysis

Convergence tests for improper multiple integrals

From injective map to continuous map

Prob. 23, Chap. 4 in Baby Rudin: Every convex function is continuous and every increasing convex function of a convex function is convex

Find a Continuous Function with Cantor Set Level Sets

Rudin Theorem $1.11$

Minimax Theorems V.S. Fixed Point Theorems.

Cesaro summable implies that $c_{n}/n$ goes to $0$

How to prove there is no positive and continuous function satisfying some conditions

Analytic function $f$ in $\overline{\mathbb{D}}$ satisfying $\left\lvert\,f'(\tfrac{1}{2})\,\right \rvert\leq 8.$

Sturm-Liouville problem and periodic boundary conditions

Cartesian Product of Borel Sets is Borel Again

A function that satisfies the Intermediate Value Theorem and takes each value only finitely many times is continuous.

Prove/Show that Limit is equal to 0.

Let $S=\{p(x) \in \mathbb Z[X] :|p(x)| \leq 2^x, \forall x\in \mathbb N\}$. Prove $|S| < \infty$

Problem $u_t - u_{xx} = e^t$ in $\mathbb{R} \times (0,+\infty)$

Bolzano-Weierstrass for sequences of sets

Prove that $1/f$ is Riemann integrable on $[a,b]$

Chain rule for second derivative

Speed of convergence of a Riemann sum

References on the Nash-Moser implicit function theorem