I think I am stuck on this, I am not sure if I'm going down the correct path or not. I am trying to algebraically manipulate $p(k+1)$ so I can use $p...

I would like to know some good problem books in various branches of undergraduate and graduate mathematics like group theory, galois theory, commutative a...

My textbook describes the Lipschitz continuous function as follows: A Lipschitz continuous function is a function $f$ whose rate of change is bounded by a...

I have the following system of equations: $$\left\{\begin{array}{c} x+2y-2z+2s-t=0\\ x+2y-z+3s-2t=0\\ 2x+4y-7z+s+t=0 \end{array}\right.$$ Which forms the ...

I was given the following problem: For sets A, B, C, and D. Prove or disprove that $(A-B)-(C-D) = (A-C)-(B-D)$. My proof by counterexample was: Let $A=\{1...

Calculate the Volume $V$ of a right circular cylinder of radius $a$ and height $h$, using cylindrical coordinates and triple integration.

The term "first order method" is often used to categorize a numerical optimization method for say constrained minimization, and similarly for a "second or...

In graph theory, the indegree of a vertice $v$ in a directed graph is denoted as $\deg^{-} v$ (or $\deg_{-} v$ in some books), and outdegree of $v$ is den...

The Analytic functions are defined as $f$ is analytic on the domain $D$ if for any $x_0$ in $D$, one can write $$f(x)=\sum_{n=0}^{\infty}a_n(x-x_0)^n$$ an...

Using calculus, I attempted to find a formula for the surface area of an ellipsoid, which is a solid obtained by rotating the ellipse $\displaystyle\frac{...