Eksponensiasi: Perbedaan antara revisi

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* Michael Stifel, ''Arithmetica integra'' (Nuremberg ("Norimberga"), (Germany): Johannes Petreius, 1544), Liber III (Book 3), Caput III (Chapter 3): De Algorithmo numerorum Cossicorum. (On algorithms of algebra.), [http://books.google.com/books?id=fndPsRv08R0C&vq=exponens&pg=RA7-PA231#v=onepage&q&f=false page 236.] Stifel was trying to conveniently represent the terms of geometric progressions. He devised a cumbersome notation for doing that. On page 236, he presented the notation for the first eight terms of a geometric progression (using 1 as a base) and then he wrote: ''"Quemadmodum autem hic vides, quemlibet terminum progressionis cossicæ, suum habere exponentem in suo ordine (ut 1ze habet 1. 1ʓ habet 2 &c.) sic quilibet numerus cossicus, servat exponentem suæ denominationis implicite, qui ei serviat & utilis sit, potissimus in multiplicatione & divisione, ut paulo inferius dicam."'' (However, you see how each term of the progression has its exponent in its order (as 1ze has a 1, 1ʓ has a 2, etc.), so each number is implicitly subject to the exponent of its denomination, which [in turn] is subject to it and is useful mainly in multiplication and division, as I will mention just below.) [Note: Most of Stifel's cumbersome symbols were taken from [[Christoff Rudolff]], who in turn took them from Leonardo Fibonacci's ''Liber Abaci'' (1202), where they served as shorthand symbols for the Latin words ''res/radix'' (x), ''census/zensus'' (x<sup>2</sup>), and ''cubus'' (x<sup>3</sup>).]</ref>
 
Notasi eksponensiasi modern diperkenalkan oleh [[René Descartes]] dalam karyanya ''Géométrie'' pada tahun 1637.<ref name = Descartes>René Descartes, ''Discourse de la Méthode'' … (Leiden, (Netherlands): Jan Maire, 1637), appended book: ''La Géométrie'', book one, [http://gallica.bnf.fr/ark:/12148/btv1b86069594/f383.image page 299.] From page 299: ''" … Et ''aa'', ou ''a''<sup>2</sup>, pour multiplier ''a'' par soy mesme; Et ''a''<sup>3</sup>, pour le multiplier encore une fois par ''a'', & ainsi a l'infini ; … "'' ( … and ''aa'', or ''a''<sup>2</sup>, in order to multiply ''a'' by itself; and ''a''<sup>3</sup>, in order to multiply it once more by ''a'', and thus to infinity ; … )</ref><ref>{{cite book|title=A History of Mathematics |url=http://books.google.com/books?id=mGJRjIC9fZgC&pg=PA178 |first=Florian |last=Cajori |edition=5th |year=1991 |page=178 |origyear=1893 |publisher=AMS |isbn=0821821024}}</ref>
 
== Eksponen integer ==
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==Bacaan lebih lanjut==
* {{cite book |last= Kurnianingsih|first= Sri|authorlink= |coauthors=Kuntarti, Sulistiyono |title=Matematika SMA dan MA 3B Untuk Kelas XII Semester 2 Program IPA|year= 2007|publisher= Esis/Erlangga|location= Jakarta|id= ISBN 979-734-505-X }} {{id icon}}
 
==Referensi==