calculus - Original source of "precise" ε-δ (epsilon-delta) formal ...
Sep 3, 2022 · The earliest known Weierstrass’ text where the $\varepsilon$ - $\delta$ technique is mentioned are differential calculus lecture notes made at a lecture read in the summer term of 1861 …
In what spaces does the Bolzano-Weierstrass theorem hold?
The Bolzano-Weierstrass theorem says that every bounded sequence in $\\Bbb R^n$ contains a convergent subsequence. The proof in Wikipedia evidently doesn't go through for an infinite …
calculus - Why isn't the Weierstrass function $\sum_ {n=0}^\infty a^n ...
Jan 17, 2022 · There is a famous example of a function that has no derivative: the Weierstrass function: But just by looking at this equation - I can't seem to understand why exactly the Weierstrass Function …
Relationship between the Weierstrass function and other fractals
Apr 8, 2014 · 9 Consider the Weierstrass function: $$\sum_ {n=0}^ {\infty}a^n\cos {b^n\pi x}$$ It is well-known as an example of a function that is everywhere continuous and nowhere differentiable. When …
Intuition for Bolzano-Weierstrass Theorem - Mathematics Stack Exchange
Jun 11, 2021 · First thing's first, let me write the down the definition of Bolzano-Weierstrass theorem that I'm using: Bolzano-Weierstrass theorem for sequences: Every bounded sequence in $\\mathbb{R}$ …
analytic functions - The Weierstrass theorem from complex analysis ...
Sep 4, 2018 · The Weierstrass theorem from complex analysis states the following: Suppose $f_n$ is a sequence of analytic functions converging uniformly on an any compact subset of its domain to $f$.
Weierstrass theorem on determining if function have min and max
Mar 3, 2023 · Weierstrass theorem on determining if function have min and max Ask Question Asked 2 years, 8 months ago Modified 2 years, 8 months ago
elliptic curve $ {X^3+Y^3=AZ^3}$ - Mathematics Stack Exchange
Jul 3, 2019 · which is Weierstrass normal form. I know this isn't the "by-the-book" method, but it's linear rational substitutions only, so you should be able to work it backwards to find the transformation from …
complex analysis - Show that the Weierstrass $\wp$ function is ...
Feb 20, 2023 · Show that the Weierstrass $\wp$ function is absolutely and uniformly convergent Ask Question Asked 2 years, 8 months ago Modified 2 years, 8 months ago
Isomorphism of elliptic curves - Mathematics Stack Exchange
Jun 13, 2019 · One of the first things discussed in books on elliptic curves is the change of variables that "puts the curve" in Weierstrass form. To give a concrete example, the curve $6y^2=2x^3+3x^2+x$ (the "