Is Mathematical Visualization a Discipline or Just a Tool?

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Mathematical visualization intersects with various fields, notably numerical computational geometry, which focuses on developing algorithms for visualizing mathematical concepts. However, it is emphasized that mathematical visualization itself is not a distinct field but rather a practice that can enhance understanding across different mathematical disciplines. Certain branches of mathematics lend themselves more naturally to visual representation, appealing particularly to visual learners who seek to visualize concepts regardless of conventional boundaries. The discussion highlights the subjective nature of visualization in mathematics and its role as a tool for comprehension rather than a formalized area of study.
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What fields / disciplines of that field does mathematical visualization fall under.

I know numerical computational geometry is one , where you wright algorithms to develop programs to visualize mathematics.
 
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Numerical computational geometry isn't really concerned with "visualizing" mathematics, it's concerned with finding numerical solutions to certain classes of problems in geometry. Mathematical visualization isn't a field, it's just something that you might sometimes "do".
 
Number Nine said:
Mathematical visualization isn't a field, it's just something that you might sometimes "do".

I agree, but there are certainly branches of mathematics that are inherently more visual. If you are a visual learner (like me), you will end up trying to visualize everything you meet in any part of mathematics, even if people say it shouldn't be attempted.

:-)
 

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