Here is an example problem where the logarithm is expressed as an exponent. Please help me understand this concept its not properly covered in my textbook...

Using the method of characteristics, find a solution to Burgers' equation \begin{cases} u_t+\left(\frac{u^2}{2} \right)_x =0 & \text{in }\mathbb{...

We've just been learning about complex numbers in class, and I don't really see why they're called numbers. Originally, a number used to be...

I am studying for a test in discrete math and I created my own question but I cannot seem to solve it. Is it possible to solve the following equation syst...

My friend recently asked me a question. And I think I have a nice solution but wanted to share this question here to see how you approach this problem and...

I read books A First Course in Discrete Dynamical Systems by Richard A. Holmgren and An Introduction to Chaotic Dynamical Systems by Robert L. Devaney. I ...

What exactly is "Approximation Theory"? If I read the wikipedia-article I doesn't get much clearer. Why are "pure" mathematicians interested in it? I...

I need to write concise formulas of these two:$\space \space \space$ $(1)$ finding the dimensions of a rectangle given the Area and the diagonal $\space \...

A rectangular box is to have a square base and a volume of 40 ft3. If the material for the base costs \$0.31 per square foot, the material for the sides c...

The Maximum Modulus Principal states: let $f$ be a function holomorphic on some connected open subset $D$ of the complex plane $\mathbb{C}$ and taking com...