List questions from proof-verification

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Exercise I2.5 13 from Apostol

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rudin math analysis - fourier seris, why fourier series is real if and only $c_{-n}=\overline{c_{n}}$

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Prove that $f(x, y) = 2x - 3y$ is continuous using epsilon-delta

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2D Fourier Transform of the PDE $u_{xx}+u_{tt}=g(x,t)$

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If $A\in\Bbb R^{3\times3}$ is an invertible matrix such that $A^2=A$, then $\det(2A)=8$

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Apply Fermat's little theorem to show that $A ^ { e d } \equiv A ( \bmod p )$

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What are the prerequisites for learning math proofs?

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$2+ f(x)f(y)=f(x)+f(y) +f(xy) $, if $f(2)=5$ find $f(5)$

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Calculating inner product using Parsevals identity

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Show that if $A$ is star convex, $A$ is simply connected.

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Proving the sum of two finite cardinal numbers is finite

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If $S=\{1,2,\ldots,n\}$, in how many ways can we choose two subsets $A$ and $B$ of $S$ so that $B \neq \emptyset$ and $B \subseteq A \subseteq S$?

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And in this situation can math not work?

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Prove the following for a general binary operation

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If the proof is correct, is there a shorter way?

Exercise I2.5 13 from Apostol

rudin math analysis - fourier seris, why fourier series is real if and only $c_{-n}=\overline{c_{n}}$

Prove that $f(x, y) = 2x - 3y$ is continuous using epsilon-delta

2D Fourier Transform of the PDE $u_{xx}+u_{tt}=g(x,t)$

If $A\in\Bbb R^{3\times3}$ is an invertible matrix such that $A^2=A$, then $\det(2A)=8$

Apply Fermat's little theorem to show that $A ^ { e d } \equiv A ( \bmod p )$

What are the prerequisites for learning math proofs?

$2+ f(x)f(y)=f(x)+f(y) +f(xy) $, if $f(2)=5$ find $f(5)$

Calculating inner product using Parsevals identity

Show that if $A$ is star convex, $A$ is simply connected.

Proving the sum of two finite cardinal numbers is finite

If $S=\{1,2,\ldots,n\}$, in how many ways can we choose two subsets $A$ and $B$ of $S$ so that $B \neq \emptyset$ and $B \subseteq A \subseteq S$?

And in this situation can math not work?

Prove the following for a general binary operation

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