“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
“Even a pure mathematician may find his appreciation of this geometry [applied geometry] quickened, since there is no mathematician so pure that he feels no interest at all in the physical world; but, in so far as he succumbs to this temptation, he will be abandoning his purely mathematical position.” AppreciationMathematicianApplied ScienceApplicationsPhysical WorldPure MathematicsApplied Problem Solving Book:A Mathematician's Apology Source: A Mathematician's Apology