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102
How to distinguish between walking on a sphere and walking on a torus?
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77
what is expected from a PhD student?
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37
How to explain that division by $0$ yields infinity to a 2nd grader
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36
Is $\mathbf{Q}(\sqrt{2}, \sqrt{3}) = \mathbf{Q}(\sqrt{2}+\sqrt{3})$?
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34
How do I calculate the intersection(s) of a straight line and a circle?
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32
Prove that $\gcd(M, N)\times \mbox{lcm}(M, N) = M \times N$.
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25
How long does it take to write a math paper?
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25
Is $dx\,dy$ really a multiplication of $dx$ and $dy$?
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22
Gradient is NOT the direction that points to the minimum or maximum
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21
Why must the base of a logarithm be a positive real number not equal to 1?
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21
Why does $\mathbb{Z}$ denote the set of integers?
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21
The graph of a smooth real function is a submanifold
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18
What are the angle brackets in Linear Algebra?
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17
Pushforward of a vector field
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17
How can I solve $\cos^2 x + \sin x +1 = 0$?
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16
Fermat's Last Theorem's Proof
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16
Limit of $(1+ x/n)^n$ when $n$ tends to infinity
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15
How to prove that $e^x$ is convex?
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15
Calculate the radius of a circle given the chord length and height of a segment
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14
Inversion mapping complex function
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13
How to prove that $GL(n,\mathbb R)$ is not connected subset and open subset of$M_n (\mathbb{R})$
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13
Calculate cosh(x) given sinh(x)
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12
Reflection with respect to a parabola
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12
Continuity of analytic function implies convergence of power series?
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12
Finding the angle between three points?
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11
$1-2+3-4+\dots = \frac{1}{4}$
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10
How to solve $\sin x +\cos x = 1$?
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10
Deriving curvature formula
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10
Tangent bundle of $S^1$ is diffeomorphic to the cylinder $S^1\times\Bbb{R}$
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10
A hammer and a nail cost $1.10, and the hammer costs one dollar more than the nail. How much does the nail cost?
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