#math430 — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #math430, aggregated by home.social.
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This week in #MATH430 on the Calculus of Variations, we reached the culmination of the course: a necessary and sufficient condition - or rather three conditions - for a functional to have a weak local extremum.
Whilst a complete proof of these conditions is rather tedious and far too long for a toot, a statement of the condition, and a nice observation, is very toot-able! And it gives me an excuse to use mathstodon's \(\LaTeX\) capabilities.
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This week, in #MATH430, we will be discussing Noether’s Theorem — one of the most important theorems in modern mathematics and the foundation of much of theoretical physics.
Noether’s theorem provides a connection between symmetries of systems and their corresponding conserved quantities. For instance, one can use Noether’s theorem to show that invariance with respect to time translations implies conservation of energy.
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