# Math Museum

### From TheTangentSpace

(→Other possible exhibits) |
(→Complex functions) |
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== Complex functions == | == Complex functions == | ||

- | Visualizations and interactive graphing of certain functions in the complex plane, along with how they relate to regular functions in the reals. In particular, it would be cool to try to demonstrate Euler's formula <math>e^{ix}=\cos(x) + i\sin(x)</math> and possibly even relate this to Fourier series. For example, we could project the shadow of a slinky and explain that each orthogonal projection can be thought of as the real/imaginary part of <math>e^{ix}</math>. | + | Visualizations and interactive graphing of certain functions in the complex plane, along with how they relate to regular functions in the reals. In particular, it would be cool to try to demonstrate Euler's formula <math>e^{ix}=\cos(x) + i\sin(x)</math> and possibly even relate this to Fourier series. For example, we could project the shadow of a slinky and explain that each orthogonal projection can be thought of as the real/imaginary part of <math>e^{ix}</math>. And something on Riemann's zeta function and Hypothesis,and Conformal mapping (air flow simulations). |

== Games from number theory == | == Games from number theory == |