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What is the difference between pure mathematics and applied mathematics?

Hello I’m Angel and stuck between UCSD or CPP I don’t know whether research or hands on is better when going for a math degree. Can someone also provide additional info on which technique is best?

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Andrew’s Answer

Pure mathematics can be considered as a pure pursuit in the exploration of mathematics as a language and its extension and further development. It is a study and development of the beauty of mathematics for its own sake. On the other hand, applied mathematics is the application of mathematics to tackle real-world problems.

From the career point of view, there is a much more need for “engineers” of mathematics than “artists” of mathematics. However, the choice between pure mathematics and applied mathematics should be a personal preference.

I worked as a consulting scientist at NASA/Goddard Space Flight Center for two decades. I was an “engineer” of mathematics then.
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Anthony’s Answer

Pure math and applied math offer different paths, and neither is superior. With my background in math education, I've seen both sides. Pure math can seem dry, but its techniques apply to many fields. Choose based on what excites you more: exploring theories or using math in real-world scenarios. Consider if you enjoy the research and discovery in pure math or if you prefer applying math to solve practical problems. Let your interests guide you to a fulfilling career or passion.
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