M | A | T | H |

2 | 1 | B |

Mathematics Math21b Spring 2017

Linear Algebra and Differential Equations

Exhibit: Beauty in Mathematics

Course Head: Oliver Knill

Office: SciCtr 432

Email: knill@math.harvard.edu

1 + e^{i π}= 0

By the way, the Fourier formulas are beautiful, but they become especially appealing if one goes to the complex. Instead of the basis

{ cos(n x), sin(nx), 2^{-(1/2)}} ,

e^{i n x }

f(x) = ∑_{n}c_{n}e^{i n x }c_{n}= (2 π)^{-1}∫_{-π}^{π}f(x) e^{-i n x}dx

Please send questions and comments to knill@math.harvard.edu

Math21b Harvard College Course ID:110989| Oliver Knill | Spring 2017 |
Department of Mathematics |
Faculty of Art and Sciences |
Harvard University,
[Canvas, for admin],
Twitter