KALKULUS DIFERENSIAL DAN INTEGRAL OLEH FERMAT
DOI:
10.29303/jpm.v7i1.91Published:
2012-03-01Issue:
Vol. 7 No. 1 (2012): MaretArticles
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Abstract
Abstrak. Dalam kuliah kalkulus modern, materi tentang pendifferensialan (turunan fungsi) dan konstruksi garis singgung terhadap suatu kurva diberikan terlebih dahulu daripada materi integral dan penentuan luas daerah di bawah suatu kurva. Hal ini berlawanan dengan urutan sejarah perkembangannnya. Penentuan luas daerah yang dibatasi oleh beberapa kurva telah ditemukan pada zaman kuno. Dalam tulisan ini membahas awal konstruksi garis singgung dan penentuan luas daerah yang dibatasi oleh suatu kurva yang pertama kali dibahas oleh Fermat. Kerja Fermat telah memberikan dasar bagi konsep kalkulus modern, khususnya pendifferensialan dan integral. Selain itu, Fermat dikenal sebagai orang yang memiliki kemampuan luar biasa dalam teori bilangan, antara lain dengan Fermatââ¬â¢s Little Theorem dan Fermatââ¬â¢s Last Theorem.
Kata kunci: konstruksi garis singgung, luas daerah, differensial, dan integral, teori fermat.
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Abstrak. In modern calculus course, the material on derivative of the function and the construction of the tangent to the curve given first than the material on the integral and determining the area under a curve. This is contrary to the historical development. Determination of the area has been limited by several curves have been found in ancient times. In this paper discusses the start of construction of the tangent line and determining the area bounded by a curve that was first discussed by Fermat. Work Fermat has provided the basis for the concept of modern calculus, especially derivative and integral. In addition, Fermat is known as a person who has a remarkable ability in number theory, among others, by Fermat's Little Theorem and Fermat's Last Theorem.
Keywords: construction of a tangent, wide areas, derivative and integral, Fermat Theory.License
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