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I am a mechanical engineering and mathemathics undergrad student. Next year I am starting my ME thesis. I want to choose a topic in which I can apply some of my mathematics background. I am interested in analysis, in particular in functional analysis, spectral theory and calculus of variations. Is there some area in ME where I can use some of them? And if possible some literature.

Julián Villaquirá
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    Finite Element Analysis comes to mind. There are important convergence issues to consider. Calculus of Variations should play a role for optimization problems associated with building a strong bridge while minimizing the use of materials, for example. – TurlocTheRed Dec 13 '19 at 18:17
  • Maybe mechanical vibrations and wavelets? I came up with this in a few moments just thinking of mathy things in mechanical engineering (e.g. mechanical vibrations) and similarly connected math terms (e.g. wavelets; I first tried "spectral analysis"). I think the simplest thing for you is to google like this for a bit, using terms for things you're interested in. Maybe also try this search. – Dave L. Renfro Dec 13 '19 at 18:21

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