Soyut matematik: Revizyonlar arasındaki fark

[[Antik Yunan]] matematikçileri Soyut Matematik ile Uygulamalı Matematik arasında ilk ayrıma gidenlerdir. Platon günümüzde aritmetik olarak adlandırılan "logistic" ve günümüzde sayılar kuramı olarak adlandırılan "arithmetics" arasında bir ayırıma gider; [[Platon]]'a göre "logistic" (günümüzün aritmetiği) iş adamlarınca ve askerlerce bilinmeliydi çünkü ona göre "sayıların sanatını bilmeyenler askerlerin nasıl dizilmesi gerektiğini de bilemezlerdi.", ve aritmetik (günümüzün sayılar kuramı) filozoflarca bilinmeliydi; "çünkü onlar değişimin denizinden yükselerek, gerçek varlığı ele geçirenlerdir." <ref>{{cite book|first=Carl B. |last=Boyer |authorlink=Carl Benjamin Boyer |title=A History of Mathematics |edition=Second Edition |publisher=John Wiley & Sons, Inc. |year=1991 |isbn=0-471-54397-7|chapter=The age of Plato and Aristotle|pages=86|quote=Plato is important in the history of mathematics largely for his role as inspirer and director of others, and perhaps to him is due the sharp distinction in ancient Greece between arithmetic (in the sense of the theory of numbers) and logistic (the technique of computation). Plato regarded logistic as appropriate for the businessman and for the man of war, who "must learn the art of numbers or he will not know how to array his troops." The philosopher, on the other hand, must be an arithmetician "because he has to arise out of the sea of change and lay hold of true being."}}</ref> [[İskenderiylei Öklid]], bir öğrencisi tarafından geometri ne işimize yarayacak diye sorunca kölesine öğrenciye para vermesini buyurur "çünkü bu adam öğrendiğinden illa ki bir kazanç elde etmek istiyor. "<ref>{{cite book|first=Carl B. |last=Boyer |authorlink=Carl Benjamin Boyer |title=A History of Mathematics |edition=Second Edition |publisher=John Wiley & Sons, Inc. |year=1991 |isbn=0-471-54397-7|chapter=Euclid of Alexandria |pages=101 |quote=Evidently Euclid did not stress the practical aspects of his subject, for there is a tale told of him that when one of his students asked of what use was the study of geometry, Euclid asked his slave to give the student threepence, "since he must make gain of what he learns."}}</ref>Book The Greek mathematician [[ApolloniusIV of Perga]]Conics waskitabındaki askedbazı aboutteoremlerini thegereksiz usefulnessolduğunu ofsöylenince someşunları ofdemiş hisyunan theoremsmatematikçi in Book IV of ''Conics'' to which he proudly assertedPerda,<ref name="Apollonius">{{cite book|first=Carl B. |last=Boyer |authorlink=Carl Benjamin Boyer |title=A History of Mathematics |edition=Second Edition |publisher=John Wiley & Sons, Inc. |year=1991 |isbn=0-471-54397-7|chapter=Apollonius of Perga|pages=152|quote=It is in connection with the theorems in this book that Apollonius makes a statement implying that in his day, as in ours, there were narrow-minded opponents of pure mathematics who pejoratively inquired about the usefulness of such results. The author proudly asserted: "They are worthy of acceptance for the sake of the demonstrations themselves, in the same way as weBiz acceptsırf manykendilerini othergösterdikleri thingsiçin inonları mathematicskabul forederiz, thistıpkı andmatematikteki forbir çok şeyi nokabul otherettiğimiz reasongibi." (Heath 1961, p.lxxiv).<BR>The preface to Book V, relating to maximum and minimum straight lines drawn to a conic, again argues that the subject is one of those that seem "worthy of study for their own sake." While one must admire the author for his lofty intellectual attitude, it may be pertinently pointed out that s day was beautiful theory, with no prospect of applicability to the science or engineering of his time, has since become fundamental in such fields as terrestrial dynamics and celestial mechanics.}}</ref>