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Real-analysis
New post in Real-analysis
(ZF)subsequence convergent to a limit point of a sequence
June 10th, 2022
set-theory
axiom-of-choice
real-analysis
How do I find the image $y=x$ under mapping $w=z^2$?
June 1st, 2022
real-analysis
matrices
complex-numbers
complex-analysis
calculus
Polynomials are not a closed subspace of $C[0,1]$ w.r.t. the restricted $\lVert\bullet\rVert_2$ norm
June 1st, 2022
real-analysis
Prove that $A=\{ (x,y) : xy \leq 1\}$ is closed in $\mathbb{R}^2_+$ with Euclidean Metric
June 1st, 2022
real-analysis
metric-spaces
Prove this set is bounded below
June 3rd, 2022
real-analysis
proof-verification
Show that $\arctan(x)$ exists and is differentiable in $(-\pi/2, \pi/2)$
June 6th, 2022
real-analysis
calculus
Baby Rudin Chapter 4 Exercise Questions 5 and 6
June 6th, 2022
self-learning
real-analysis
Find a seven digit number which describes itself
June 6th, 2022
problem-solving
calculus
real-analysis
algebra-precalculus
puzzle
Proof of the intersection of boundary of a set and a connected set is nonempty
June 6th, 2022
real-analysis
Functions and trig question, finding minimum value
June 6th, 2022
real-analysis
algebra-precalculus
Is the sequence $\{1/n^2\}$ Cauchy?
June 6th, 2022
sequences-and-series
real-analysis
cauchy-sequences
Supremum and infimum of $\frac{x}{\sin x}$ on $\left[0,\frac{\pi}{2}\right]$
June 6th, 2022
supremum-and-infimum
real-analysis
Examples of a strongly continuous function and a weakly continuous function.
September 21st, 2020
real-analysis
Real Analysis: Prove every unbounded sequence contains a divergent monotone subsequence
June 6th, 2022
real-analysis
sequences-and-series
Proving that the integrals of two functions are the same if they are equal everywhere except a point
June 30th, 2020
real-analysis
integrable-systems
calculus
integration
If f and g are uniformly continuous then fg is uniformly continuous
June 6th, 2022
real-analysis
Prove that $\int_0^\infty e^{-x^4}\ dx = \Gamma\left(\frac{5}{4}\right) = \left(\frac{1}{4}\right)!$ using the gamma function
June 6th, 2022
integration
calculus
gamma-function
real-analysis
Find infinite collection of open sets in $\Bbb R$ whose intersection is open and nonempty
June 6th, 2022
real-analysis
The supremum and infimum of the sequence $\{(-1)^n/n^2\}$.
June 7th, 2022
real-analysis
supremum-and-infimum
Examples where Rolle's Theorem fails for following
December 11th, 2020
real-analysis
calculus
Compactness, why is $(0,1)$ not compact? I need the "thought process"
June 6th, 2022
real-analysis
compactness
$\sin(1/x)$ is not BV.
June 1st, 2022
real-analysis
bounded-variation
Continuous function: $ Z=${$x \in \mathbb{R} : f(x) = 0$} is closed
June 1st, 2022
general-topology
real-analysis
Proving Riemann Sums via Analysis
June 6th, 2022
integration
real-analysis
riemann-sum
proof-writing
Condition for Implicit Function Theorem
June 6th, 2022
implicit-function-theorem
real-analysis
Analysis e-neighborhoods
June 2nd, 2022
real-analysis
Series converges if partial sums are bounded?
June 6th, 2022
real-analysis
calculus
What is the mathematical symbol for the sum of numbers
June 1st, 2022
algebra-precalculus
real-analysis
summation
Is a uniformly continuous functions bounded?
June 6th, 2022
functions
limits
analysis
real-analysis
How to determine if this sequence converges? (Complex sequence)
June 6th, 2022
real-analysis
sequences-and-series
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