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Vercassivelaunos

I teach math and physics in Germany. I'm interested in keeping and expanding my knowledge of both subjects. My main interest is in elegant conceptual understandings of all kinds of topics.

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65
Why do we need instantaneous speed?
physics.stackexchange.com

25
Are the reals genuinely a subset of the complex numbers?
math.stackexchange.com

20
Why should we expect the connection between complex arithmetic and geometry?
math.stackexchange.com

19
Importance and Intuition of Polynomial Rings
math.stackexchange.com

16
Why is the volume of a cone not half the volume of the cylinder of which it is a part?
math.stackexchange.com

15
It is always true that X < Y. Is it possible for X and Y to be independent? Why?
math.stackexchange.com

13
Why has there been no unification of topology axioms and measure theory axioms?
math.stackexchange.com

10
How many ways can you arrange nothing?
math.stackexchange.com

9
Is Riemann integration only concerned with rates of change?
math.stackexchange.com

8
What is the correct way to think about quotient sets and equivalence relations?
math.stackexchange.com

8
Proofs in Real Analysis are too 'convenient'
math.stackexchange.com

7
What is the final intuition of Galois solvable groups and radical solutions?
math.stackexchange.com

7
Why is everything geometrical modeled on $\Bbb R$?
math.stackexchange.com

7
Why did James Stewart regard it "more elegant" if you define the logarithm as an integral, and the exponential function its inverse?
math.stackexchange.com

7
Is $x \mapsto (x, |x|)$ locally diffeomorphic to $\mathbb R$ at $x = 0$? (there is a philosophical question)
math.stackexchange.com

7
Partial derivatives seem to depend on how variables are defined
math.stackexchange.com

7
Is centripetal acceleration almost perpendicular to velocity or it is exactly perpendicular to velocity?
physics.stackexchange.com

7
Why is $\int_{\pi/2}^0 \cos x dx$ negative?
math.stackexchange.com

6
Does the area of a circle approximates $\pi r^2$ or IS it $\pi r^2$?
math.stackexchange.com

6
Why does newtons second law involve second derivative of position?
physics.stackexchange.com

6
What motivates defining vectors as first order differential operators?
physics.stackexchange.com

5
Is there a convention to interpret equalities of functions as series?
math.stackexchange.com

5
Prove that the subspaces $T := \{\frac{1}{n}: n ∈ \mathbb{N}\}$ and $S := T \cup \{0\}$ of $\mathbb{E}^1$ are not homeomorphic
math.stackexchange.com

5
Why use random variables instead of probability spaces
math.stackexchange.com

5
Basis of $\{0\}$ set
math.stackexchange.com

5
Why is it not sufficient to only check the third condition when verifying equality of functions?
math.stackexchange.com

5
The Automorphism Group $\Gamma(\mathbb{Q}(\sqrt[n]{2}):\mathbb{Q})$ is trivial if $n$ is odd.
math.stackexchange.com

5
How would you define $>$ and $<$ on $\mathbb{C}$?
math.stackexchange.com

5
Galileo's compass squares the circle
math.stackexchange.com

5
Solving a simple matrix multiplication/evaluation problem in a shorter/simpler way
math.stackexchange.com

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