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mrf's user avatar
mrf's user avatar
mrf
  • Member for 12 years, 3 months
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174 votes

math fallacy problem: $-1= (-1)^3 = (-1)^{6/2} = \sqrt{(-1)^6}= 1$?

162 votes
Accepted

Why isn't several complex variables as fundamental as multivariable calculus?

57 votes

What does it mean to divide a complex number by another complex number?

47 votes
Accepted

Find all five solutions of the equation $z^5+z^4+z^3+z^2+z+1 = 0$

46 votes

Nuking the Mosquito — ridiculously complicated ways to achieve very simple results

43 votes
Accepted

Eigenvector and eigenvalue for exponential matrix

36 votes
Accepted

What is the Fourier transform of $f(x)=e^{-x^2}$?

35 votes
Accepted

How can it be shown that $\mathrm{Aut}(\mathbb{C})=\{f\,|\,f(z)=az+b,a\neq 0\},$ is defined as bijective ...

34 votes

Proof of Frullani's theorem

28 votes
Accepted

Is there an algorithm to compute the degree of a polynomial?

27 votes

Examples of mathematical induction

26 votes

How many ways can seven people sit around a circular table?

24 votes
Accepted

Pointwise convergence of sequences of holomorphic functions to holomorphic functions

24 votes
Accepted

Calculus: a very serious L'Hopital's Rule problem

23 votes

How to find the roots of $x^4 +1$

19 votes

If a graph with $n$ vertices and $n$ edges there must a cycle?

19 votes

Is a continuous function on a bounded set bounded itself?

19 votes
Accepted

Multivariate Residue Theorem?

16 votes

stein and shakarchi complex analysis exercise 3.15 (b)

16 votes
Accepted

Can we write a complex number z like this Re(z)+Im(z)?

16 votes
Accepted

Conformal Map from Vertical Strip to Unit Disc

16 votes

For every rational number, does there exist a sequence of irrationals which converges to it?

15 votes
Accepted

Maximum value of a complex polynomial on the unit disk

15 votes

A really complicated calculus book

15 votes

How to evaluate the sum $\frac{1}{\sqrt{n}}+\frac{1}{\sqrt{2n}}+\cdots+\frac{1}{\sqrt{n^2}}$ when $n$ grows?

14 votes

Complex chain rule for complex valued functions

14 votes

What does it mean to show that something is well defined?

14 votes
Accepted

Show that $\left|\frac{\alpha - \beta}{1-\bar{\alpha}\beta}\right| < 1$ when $|\alpha|,|\beta| < 1$

13 votes
Accepted

Can a function be analytic and satisfy $f\left(\frac 1 n\right) =\frac{1}{\log{n}}.$?

13 votes

Solve $z^4+1=0$ algebraically

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