I am a beginning level math student and I read recently (in a book written by a Ph. D in Mathematical Education) that mathematical definitions do not get ...

Have got into a pretty heated debate with a friend, and looking online there's lacking proof Line contained in a plane Is a line that is contained wi...

I have been reading a paper regarding Screw Theory and have come across the term "Isometry". A quick Baidu(I'm currently in China) turned up the foll...

How to calculate the sum of the following series? $$(n-1)^2+(n-2)^2+...+1$$Thank you in advance

What is the most motivating way to introduce continued fractions? Are there any real life applications of continued fractions?

I have been trying very hard to solve this type of congruence equation: $$ax = b \pmod n$$ and finally managed to actually solve a few by using properties...

I'm working on a online mathematical learning environment. There is a mathematical editor where students can give their answers using a graphical int...

Why polynomial functions f(x)+g(x) is the same notation as (f+g)(x)? I've seen the sum of polynomials as f(x)+g(x) before, but never seen a notation ...

Consider the logarithmic function with base $10.$ $$ y=\log{\left(x\right)} $$ wherein the derivative with respect to $x$ is: $$ f'\left(x\right)=\fr...

How do I go about doing this? I try doing it by parts, but it seems to work out wrong: $\eqalign{ & \int {\sec 4xdx} \cr & u = \sec 4x \cr & {...