Pure mathematics is on the whole distinctly more useful than applied. For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics. ~ G H Hardy
Pure mathematics is the study of mathematical concepts independently of any application outside mathematics. These concepts may originate in real-world concerns, and the results obtained may later turn out to be useful for practical applications, but pure mathematicians are not primarily motivated by such applications. Instead, the appeal is attributed to the intellectual challenge and aesthetic beauty of working out the logical consequences of basic principles. [1]
References
[1] “Pure Mathematics – Wikipedia”. 2023. en.wikipedia.org. https://en.wikipedia.org/wiki/Pure_mathematics.
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Mathematical Mysteries 