After Centuries, a Seemingly Simple Math Problem Gets an Exact Solution

After Centuries, a Seemingly Simple Math Problem Gets an Exact Solution

12/12/2020

link

https://www.quantamagazine.org/mathematician-solves-centuries-old-grazing-goat-problem-exactly-20201209/

summary

This article discusses the recent solution to the 'grazing goat problem,' a mathematical problem that has perplexed mathematicians for centuries. The problem involves calculating the path a tethered goat can take in order to graze on a circular patch of grass, without getting tangled in the tether. The article introduces a mathematician named Aubrey de Grey who has successfully solved this problem using advanced mathematical techniques. The solution involves complex analysis and the use of elliptic functions. The article explains the significance of this achievement in the field of mathematics and highlights the broader implications for other mathematical problems.

tags

mathematics ꞏ geometric problem ꞏ grazing goat problem ꞏ optimization ꞏ mathematical modeling ꞏ calculus of variations ꞏ physics ꞏ mathematical physics ꞏ optimal control ꞏ geometry ꞏ physics of motion ꞏ isoperimetric problem ꞏ fermat's principle ꞏ brachistochrone problem ꞏ shortest path ꞏ curve optimization ꞏ mathematical analysis ꞏ extremal problem ꞏ applied mathematics ꞏ historical problem ꞏ mathematical proof ꞏ curve theory ꞏ classical mechanics ꞏ isoperimetry ꞏ variational principle ꞏ mathematical solution ꞏ path optimization ꞏ mathematical equations ꞏ mechanical systems ꞏ trajectory optimization ꞏ motion planning ꞏ dynamics ꞏ geometric optimization ꞏ optimal path ꞏ calculus ꞏ motion optimization ꞏ mathematical puzzle ꞏ historical mathematics ꞏ problem solving ꞏ euclidean geometry ꞏ analytical geometry ꞏ mechanical engineering ꞏ differential equations ꞏ constrained optimization ꞏ geometric curves ꞏ trajectory planning ꞏ geometric constraints ꞏ mathematical concepts