For someone who loves mathematics - the more theoretical, the better - what type of engineering would you recommend?

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I'm thinking there must be a type of engineering where math is strongly involved. What type of engineering would you suggest?

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Electrical engineering in my opinion .However if you are more intrested in pure mathematics loaded with some engineering background.I suggest you to go with Theoretical Computer Science/Cryptology.It surely contains the beauty of pure mathematics with application in it.