In the monotone convergence theorem: Let $g_n\geq 0$ be a sequence of measurable functions, such that $g_n \uparrow g\;\; \mu \text{ a.e.},$ i.e. $g_n(\om...

I have a very simple question that can be stated without proof. Are all eigenvectors, of any matrix, always orthogonal? I am trying to understand Principa...

I am currently reading Evan's PDE and am getting hung up on many of the more "technical details". This question may be very basic (multivariable calc...

Is there much use of sequences and series in calc 3? I had some issues with them in calc 2 and what to figure out if I should put a lot of time trying to ...

How to prove that the function $f(x)=\sin\frac{1}{x}$ for $x\neq 0,f(0)=0$ has an antiderivative? This means $F(x)=\int^{x}_{0}\sin(1/t)dt$ has derivative...

Apparently, if one adds an asterisk to the right side of a set definition, it means the set to the left can be built out of elements in the set to the rig...

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

I am looking for textbooks on non-linear multi-objective optimization that are rigorous. For instance, I am most comfortable with Arkadi Nemirovski style....

I'm aware that, in general, arbitrary angles cannot be trisected by a compass and straightedge, but also that it is possible for some specific angles...

I have the following: p ⊃ (q ≡ r) (q ≡ r) ⊃ p ∴ [(~p v q) · ( q ⊃ p) ≡ r I'm trying to check for validity so I created a truth table to check: My und...