Is there any nice explanation of why the complex exponential function has no roots in the complex plane?
59908
Intuitive Explanation why the Fundamental Theorem of Algebra fails for infinite sums
30781
Why the representation in the form of $Z'X(X'X)^{-1}X'Z$ can not be simplified into $Z'Z$
140459
Why is $\left(e^{2\pi i}\right)^i \neq e^{-2 \pi}$?
68319
How can I evaluate $\int_{-\infty}^{\infty} e^{-x^2} dx$ without using polar coordinates
17620
Why the principal value of complex number argument is taken within $(-\pi,\pi]?$
89601
Rusty at complex integrals, finding error in steps
106197
Complex numbers - Exponential numbers - Proof
51314
How to prove that a complex number is not a root of unity?
101299
Solving the complex polynomial
60721
How does $e^{i x}$ produce rotation around the imaginary unit circle?
15482
Paths integrals in the complex plane
43265
What was the motivation for the complex plane?
121197
Eigenvalues and eigenfunctions of the exponential potential $ V(x)=\exp(|x|) $
83947
What is the need of complex functions in wave analysis?
49444
Why isn't $e^{2\pi xi}=1$ true for all $x$?
21769
Motivation for complex numbers
67891
Why are there no discrete zero sets of a polynomial in two complex variables?