This is a series problem where the terms are complex numbers. I am looking for a better approach to solving this problem. If $\displaystyle z = \frac{1+i}...

My question is about that image: Is this the correct Venn diagram for part c ? Why is there a red region in the middle that is painted ? Where did this re...

Does anyone have a recommendation for a rigorous while readable book to use for the self study of continued fractions? PS - As examples of "rigorous while...

so I need the parametric equation of the arc. So, arc is a sector of a circle. Parametric circle equation is: $$ c \equiv f(t) = (\cos(t), \sin(t)),\quad ...

Many years ago, a math teacher of mine thought us that there was a mathematical symbol for "that is" / "to clarify" / "whereby" (I'm not from an Engl...

What mathematical knowledge do I need to begin studying linear algebra? In particular, how much calculus do I need to know? Also, do you have a favorite l...

I understand that $0.03$ would have $1$ significant figure. Does $-0.03$ also have one significant figure or $3$? Thanks.

The picture probably explains my question best. I need to find a way to divide a circle into 3 parts of equal area with only 2 lines that intersect each o...

Today I somehow was wondering how could you define a 3d angle. First what I could think of was volume of a cone with side a=1. Then if it wasn't roun...

Let's say I have a three dimensional cube that I am transforming by simply swapping the $x$ and $y$ axes (more accurately, a $90 ^{\circ}$ rotation o...