“One rather curious conclusion emerges, that 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.” TechniqueUsefulnessApplied ScienceApplicationsApplied KnowledgePure Mathematics Book:A Mathematician's Apology Source: A Mathematician's Apology
“We have concluded that the trivial mathematics is, on the whole, useful, and that the real mathematics, on the whole, is not.” MathematicsUsefulnessApplicationsMathematicians Book:A Mathematician's Apology Source: A Mathematician's Apology