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All Journal Sainstek Paradikma: Jurnal Pendidikan Matematika Jurnal Pengabdian Kepada Masyarakat Sakai Sambayan SIGMA: Jurnal Pendidikan Matematika Jurnal Edukasi Matematika dan Sains MATAPPA: Jurnal Pengabdian Kepada Masyarakat Jurnal Cendekia : Jurnal Pendidikan Matematika JURNAL MathEdu (Mathematic Education Journal) FIBONACCI: Jurnal Pendidikan Matematika dan Matematika Laplace : Jurnal Pendidikan Matematika ALGORITMA : Journal of Mathematics Education Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Jambura Journal of Mathematics Education Jurnal Sibermas (Sinergi Pemberdayaan Masyarakat) Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya Innovative: Journal Of Social Science Research JNPM (Jurnal Nasional Pendidikan Matematika) Journal of Mandalika Social Science Media Pendidikan Matematika Jurnal Didaktik Matematika
Nursiya Bito
Universitas Negeri Gorontalo
Agriculture, Biological Sciences & Forestry Humanities Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Decision Sciences, Operations Research & Management Education Electrical & Electronics Engineering Engineering Environmental Science Law, Crime, Criminology & Criminal Justice Library & Information Science Materials Science & Nanotechnology Mathematics Medicine & Pharmacology Public Health Social Sciences Other

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Journal : Sainstek

 1 
EKSISTENSI SUPREMUM DAN INFIMUM DENGAN TEOREMA CANTOR DEDEKIND Bito, Nursiya
Sainstek Vol 5, No 3, 2010
Publisher : Jurnal Sainstek

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (31.864 KB)

Abstract

In this paper, we will try to proof existence of supremum and infimum with Cantor Dedekind theorem. Before we discuss this material, necessary to introduce several basic concepts, especially Cut Dedekind and Supremum and Infimum concepts. The method we are presenting here is due to Richard Dedekind (1831-1916) whose work entitled What are and what should be numbers?. Cantor Dedekind theorem very important to show that nothing gap at real numbers system.
MENYELESAIKAN PERSAMAAN DIFERENSIAL OSILATOR NON LINEAR DENGAN METODE KRYLOV BOGOLIUBOV Bito, Nursiya
Sainstek Vol 5, No 2, 2010
Publisher : Jurnal Sainstek

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Abstract

During a century and half of development and refinement of techniques, calculus consisted of these paired operations and their applications, primarily to physical problems. Newtons theory of fluxions, which was based on an intuitive idea of limit, would be familiar to any modern student of differential calculus once some changes in therminology and notation were made. But the vital observation, made by Newton and, independently, by Gottfried Leibniz, was that areas under curves could be calculated by reversing the differentiation process. The exciting technique, one that solved previously difficult area problems with ease, sparked enormous interest among the mathematicians of the era and led to a coherent theory that became known as the differential and integral calculus. This paper will develop the theory of diffentiation. We will assume that the reader is already familiar with the physical interpretations of derivative of a function as described in introductory calculus courses. Consequently, we will concentrate on the mathematical aspects of the derivative and the applications in physics. The first section is devoted to a presentation of the basic form of non-linear differential equations. A discussion of Krylov-Bogoliubov Method is also given. The material is of the greatest importance because this method can determine solution of non-linear differential equations. Keywords : Persamaan Diferensial Non Linear, Krylov Bogoliubov
Co-Authors Abdul Djabar Mohidin Agusyarif Rezka Nuha Ahmad, Nurwahida Angkareda, Gindastri Ari Wiranto Karim Arianto A. Diu Arya Aurellio Yusuf Bertu Rianto Takaendengan Bukoting, Nitrawati Daud Yusuf Dewi Rahmawati Isa Dewi Rahmawaty Isa Djafrie, Novianty Evi Hulukati Fitra Reza Dj Wares Franky Alfrits Oroh Fuzi Sandra Talibo Harun, Alfin hasdiana, hasdiana Indradewa, Rhian Ismail Djakaria Jufrin Jufrin Kartin Usman Laene, Riska R. Lailany Yahya Lillyan Hadjaratie Lokiman, Rolandi Mahmud, Sri Lestari Majid Majid Marsela Gompi Masaong, Abdul Kadim Muhammad Refi Muliling, Restika Oktavia Musa, Febrianingsi Nancy Katili NISKY IMANSYAH YAHYA Novianita Achmad Nurfajria Rahim Nurwan Nurwan Paneo, Wahyuni Pauweni, Khardiyawan A.Y. Perry Zakaria Prasetyo Usman Resmawan Resmawan Riskawati Riskawati Riswan Riswan Safitri, Dita Indah Dwi Siti Zakiah Siti Zakiyah Sumarno Ismail Syamsu Qomar Badu Talib, Erika I. Taulia Damayanti Tayeb, Rahmatillah M. Dj. Tedy Machmud Usman, Rina Nandrawati Vemsi Damopolii