{"id":3209,"date":"2011-10-11T10:42:30","date_gmt":"2011-10-11T07:42:30","guid":{"rendered":"http:\/\/www.islamidavet.com\/kutuphane\/\/?p=3209"},"modified":"2011-10-11T10:42:30","modified_gmt":"2011-10-11T07:42:30","slug":"logaritmanin-tarihsel-gelisimi","status":"publish","type":"post","link":"https:\/\/www.islamidavet.com\/kutuphane\/logaritmanin-tarihsel-gelisimi\/","title":{"rendered":"Logaritma&#8217;n\u0131n Tarihsel Geli\u015fimi"},"content":{"rendered":"<p> \u00dcsl\u00fc olarak verilen baz\u0131 ifadelerin ger\u00e7ek de\u011ferlerini, do\u011frudan do\u011fruya bulmak, matematik y\u00f6n\u00fcnden yap\u0131lmas\u0131 zor bir i\u015flemdir. Kaynaklar, bu t\u00fcr, birtak\u0131m hesaplamalar\u0131, kolayl\u0131kla yap\u0131lmas\u0131n\u0131 sa\u011flayan, logaritmay\u0131 ilk kullanan\u0131, John Napier (1550 &#8211; 1617) oldu\u011funu g\u00f6stermekte.<\/p>\n<p> John Napier taraf\u0131ndan, bu konuda &#8220;Minifici Logaritmorum Canonis Descripto&#8221; (bir logaritma cetveli tan\u0131m\u0131 ve iki ayr\u0131 trigonometri ile b\u00fct\u00fcn matematik hesaplar\u0131nda kolay ve \u00e7abuk kullan\u0131lmas\u0131na genel a\u00e7\u0131klamas\u0131) adl\u0131, zaman\u0131n bilim dili olan Latince olarak kaleme al\u0131nm\u0131\u015f eser, ilk kez 1614 y\u0131l\u0131nda Edinburg \u015fehrinde yay\u0131nland\u0131. B\u00f6ylece logaritma ad\u0131n\u0131 da John Napier koymu\u015ftur.<\/p>\n<p> Bir logaritma \u00e7izelgesinin haz\u0131rlanmas\u0131nda, taban olarak 1 den b\u00fcy\u00fck say\u0131 se\u00e7ilebilir. Napier, \u00e7izelgesini (e) taban\u0131na g\u00f6re haz\u0131rlam\u0131\u015ft\u0131r. Fakat \u00e7izelgeyi tamamlad\u0131ktan sonra, (e) say\u0131s\u0131n\u0131 almakla, zor bir sistem ortaya koydu\u011funu, uygulamas\u0131 s\u0131ras\u0131nda fark\u0131na vard\u0131. Daha sonraki y\u0131llarda, 10 tabanl\u0131, yeni bir logaritma sisteminin hesaplama i\u015flerinde b\u00fcy\u00fck kolayl\u0131klar sa\u011flayabilece\u011fini d\u00fc\u015f\u00fcnd\u00fc. Fakat, bu yeni sisteme ait, d\u00fc\u015f\u00fcnd\u00fc\u011f\u00fc temel ilkeleri, bizzat ortaya koyamadan \u00f6ld\u00fc. \u00d6mr\u00fcn\u00fcn son g\u00fcnlerinde, arkada\u015f\u0131 olan, \u0130ngiliz matematik\u00e7i ve astronom Henri Briggs&#8217;ten (1551 &#8211; 1630) d\u00fc\u015f\u00fcncelerinin tamamlanmas\u0131n\u0131 istedi.<\/p>\n<p> Henri Biggs, bu iste\u011fe uyarak, 10 taban\u0131na g\u00f6re, bir logaritma cetveli haz\u0131rlayarak, 1617 y\u0131l\u0131nda yay\u0131mlam\u0131\u015ft\u0131r. Bu eser, 1&#8217;den 1000&#8217;e kadar olan say\u0131lar\u0131n 14 ondal\u0131kl\u0131 logaritmalar\u0131n\u0131 g\u00f6sterir. Henri Briggs, ilk logaritma cetvellerinin yay\u0131m\u0131ndan 7 y\u0131l sonra, yani 1624 y\u0131l\u0131nda; \u00f6nceleri, 1&#8217;den 20.000&#8217;e daha sonra da, 90.000&#8217;den 100.000&#8217;e kadar olan say\u0131lar\u0131n 14 ondal\u0131kl\u0131 logaritmalar\u0131n\u0131 kapsayan Logaritmik Aritmetik adl\u0131 bir eser daha yay\u0131mlad\u0131.<\/p>\n<p> Daha sonra, Hollandal\u0131 matematik\u00e7i Adrien Vlacq, Henry Briggs&#8217;ten eksik kalan, 20.000&#8217;den 90.000&#8217;a kadar olan say\u0131lar\u0131n logaritmik de\u011ferlerini hesap etti ve cetvellerini 1626 y\u0131l\u0131nda, Briggs&#8217; in ad\u0131 alt\u0131nda, Goude&#8217;de yay\u0131mlad\u0131. Bu yeni \u00e7izelgeler, 10 ondal\u0131kl\u0131 olup, 1&#8217;den 1.000.000&#8217;a kadar say\u0131lan , ve 0 dereceden 90 dereceye kadar olan a\u00e7\u0131lar\u0131n, 1&#8217;er a\u00e7\u0131 dakikas\u0131 aral\u0131kl\u0131 olarak, i\u00e7in sin\u00fcs, tanjant ve sekant\u0131n logaritma de\u011ferlerini kaps\u0131yordu. Ayr\u0131ca, her biri 10&#8243; i\u00e7in, sin\u00fcs ve tanjant\u0131n logaritmalar\u0131na ili\u015fkin bir \u00e7izelge yay\u0131mland\u0131. Logaritma cetvelleri \u00fczerine eser haz\u0131rlayanlar, Adrien Vlacq&#8217; \u0131n bu eserini temel kabul ederler.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00dcsl\u00fc olarak verilen baz\u0131 ifadelerin ger\u00e7ek de\u011ferlerini, do\u011frudan do\u011fruya bulmak, matematik y\u00f6n\u00fcnden yap\u0131lmas\u0131 zor bir i\u015flemdir. Kaynaklar, bu t\u00fcr, birtak\u0131m hesaplamalar\u0131, kolayl\u0131kla yap\u0131lmas\u0131n\u0131 sa\u011flayan, logaritmay\u0131 ilk kullanan\u0131, John Napier (1550 &#8211; 1617) oldu\u011funu g\u00f6stermekte. John Napier taraf\u0131ndan, bu konuda &#8220;Minifici Logaritmorum Canonis Descripto&#8221; (bir logaritma cetveli tan\u0131m\u0131 ve iki ayr\u0131 trigonometri ile b\u00fct\u00fcn matematik hesaplar\u0131nda &hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1404,1403],"tags":[7240,7446,7445],"class_list":["post-3209","post","type-post","status-publish","format-standard","hentry","category-matematik-odevleri","category-odevler","tag-aritmetik","tag-john-napier","tag-logaritmanin-tarihsel-gelisimi"],"_links":{"self":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts\/3209","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/comments?post=3209"}],"version-history":[{"count":0,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts\/3209\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/media?parent=3209"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/categories?post=3209"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/tags?post=3209"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}