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128
What was the first bit of mathematics that made you realize that math is beautiful? (For children's book)
math.stackexchange.com

107
Most ambiguous and inconsistent phrases and notations in maths
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54
Is $A + A^{-1}$ always invertible?
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44
Is $|1-i|$ larger than $|1|$?
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37
Prove $\sin^2\theta + \cos^2\theta = 1$
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28
$-1 = 0$ by integration by parts of $\tan(x)$
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26
How to prove that $\lim\limits_{x\to0}\frac{\tan x}x=1$?
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25
Prove that if $\sum{a_n}$ converges absolutely, then $\sum{a_n^2}$ converges absolutely
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25
Show $\operatorname{rank}(A) + \operatorname{rank}(B) \ge \operatorname{rank}(A+B)$
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24
Is $\mathbb Q(\sqrt{2},\sqrt{3},\sqrt{5})=\mathbb Q(\sqrt{2}+\sqrt{3}+\sqrt{5})$.
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23
integrate $\int_0^{2\pi} e^{\cos \theta} \cos( \sin \theta) d\theta$
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23
Whence the "everything is linear" phenomenon, and what can we do about it?
matheducators.stackexchange.com

21
what does $|x-2| < 1$ mean?
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20
Sole minimal element: Why not also the minimum?
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18
When is differentiating an equation valid?
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17
Induction Proof that $x^n-y^n=(x-y)(x^{n-1}+x^{n-2}y+\ldots+xy^{n-2}+y^{n-1})$
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16
Commonly taught method divides by zero
matheducators.stackexchange.com

16
What's your favorite proof accessible to a general audience?
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15
$A$ square matrix,nonsingular $\implies $ all submatrixes of $A$ are also nonsingular?
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15
Why is it legitimate to solve the differential equation $\frac{dy}{dx}=\frac{y}{x}$ by taking $\int \frac{1}{y}\ dy=\int \frac{1}{x}\ dx$?
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15
Solve $\sum nx^n$
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15
How to solve $y''' - y = 2\sin(x)$
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14
Interpretation of "not equal" notation
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14
Relationship between Nilpotent Matrix and Matrix with all zero diagonal factors.
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14
Are the integers closed under addition... really?
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13
Rigour in mathematics
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13
Is $A^2=I \implies A=\pm I$ necessarily true?
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13
Help with $\int\frac{1}{1+x^8}dx$
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13
How to convince students of the integral identity $\int_0^af(x)dx=\int_0^af(a-x)dx$?
matheducators.stackexchange.com

12
Prove the principle of mathematical induction in $\sf ZFC $
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