One is often asked to check if a given series converges or not in one's first year of uni. Is there a formal definition that allows us to check this?...

I tried to find out what $n$ mod $0$ is, for some $n\in \mathbb{Z}$. Apparently it is an undefined operation - why?

I know how to find for which $n$ $\phi(n)=n/2$ or $\phi(n)=n/3$, my method for finding those was simply to find primes $p$ that satisfy $\Pi_p$$_|$$_n$$1-...

I'm trying to calculate that easy integral but I get undef. When I replaced $\infty$ with $1000$, I got the right answer. ($e^{-1000}$ is zero roughl...

So it seems like in the literature there are two separate meanings for what a bifurcation is. One meaning is that a bifurcation is the point at which an e...

Question Suppose we want to find a basis for the vector space $\{0\}$. I know that the answer is that the only basis is the empty set. Is this answer a de...

I am struggling with finding the stationary distribution(s) for a discrete Markov chain with the following transition probability matrix \begin{bmatrix}1/...

Construct a graph $G$ as follows: The vertices of $G$ are the edges of a complete graph $K_5$ on 5 vertices. The vertices of G are adjacent if and only if...

In quadrilateral $ABCD$, $AB=6$, $\angle{ABC}=90°$, $\angle{BCD}=45°$ and $\angle{CAD}=2\angle{ACB}$. If $DE$ is perpendicular to $AC$ with $E$ on side $B...

I would like to ask for some intermediate level textbook for calculus (single variable), or, at least, some supplement to Spivak's Calculus for bette...