DOCUMENTA MATHEMATICA, Vol. Extra Volume: Optimization Stories (2012), 345-356

Hans Josef Pesch

The Princess and Infinite-Dimensional Optimization

Traces of infinite-dimensional optimization can be sourced to ancient Greek mathematics. According to a legend the knowledge about the solution of such kind of problems helped on the foundation of Carthage, and today's new subfields of infinite-dimensional optimization such as optimal control, shape or topology optimization are indispensable in propelling present and future technological developments.

2010 Mathematics Subject Classification: 00A05, 01A20, 01A45, 49-03, 49J27

Keywords and Phrases: Ancient Greek mathematics, infinite-dimensional optimization, calculus of variations, optimal control, shape optimization

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