The way math is used in physics vs. pure math

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Math in pure math classes focuses on the theoretical aspects and the intrinsic properties of mathematical concepts, while in physics classes, math serves primarily as a tool to solve physical problems. This distinction creates a different attitude towards the subject matter; pure math emphasizes understanding and proof, whereas physics applies math to model and analyze real-world phenomena. Students often feel a disconnect between the two approaches, as the context and application of math change significantly. The discussion highlights the importance of recognizing these differences in educational settings. Understanding these distinctions can enhance learning experiences in both disciplines.
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Is it just me, or does it seem much different when doing math in a pure math class vs doing the same type of math in a physics class? The way things are done seem different to me..I can't pinpoint exactly what it is but it just doesn't seem like the same thing.
 
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The attitude is different - in pure math it is the math itself that is being studied while in physics the math is a tool for studying physics.
 

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