What category does "Mathematical Optimization" and "Convex Optimization" belong to?

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The above image is from the book Optimization in Practice with MATLAB® for Engineering Students and Professionals (by Achille Messac, PhD), Page-94.

I don't see the terms such as Mathematical Optimization or Convex Optimization (book) to be a part of this categorization.

What category do Mathematical Optimization and Convex Optimization belong to?