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高等數(shù)學(xué)實驗設(shè)計
摘 要
本論文分為兩個部分：前1部分闡述的是數(shù)學(xué)實驗的深刻內(nèi)涵及其產(chǎn)生的歷史背景，簡要的說明了它的出現(xiàn)是適應(yīng)社會潮流的，是人們對數(shù)學(xué)認(rèn)識不斷加深與計算機(jī)技術(shù)發(fā)展的結(jié)果。并對數(shù)值計算功能強(qiáng)大、圖象處理便利的開發(fā)工具M(jìn)ATLAB軟件作了簡單的介紹；后1部分通過幾個具體實例，論述了數(shù)學(xué)實驗在高等數(shù)學(xué)應(yīng)用中的深刻影響，將理論知識與計算機(jī)知識進(jìn)行了有機(jī)的結(jié)合。在具體應(yīng)用中的體現(xiàn)：以簡練的自然語言描述了各實例的基本算法，運用MATLAB作為編程語言，實現(xiàn)了數(shù)列極限的求解、定積分的求解、平面圖形面積及平面曲線長度的求解、求曲線切線的過程、旋轉(zhuǎn)體體積的求解及其形成過程等幾個問題。最后對數(shù)學(xué)實驗的發(fā)展前景作了簡單的介紹
關(guān)鍵詞： 數(shù)學(xué)實驗；高等數(shù)學(xué)；MATLAB
Abstract
This paper is divided into two parts : the first part is on the profound meaning of mathematical experiment and the resulting historical background, a brief description of its appearance is to adapt to the social trend is for people to constantly deepen understanding of mathematics and computer technology development results. And the terms powerful, image processing tools to facilitate the development of a simple presentation MATLAB software; Through the latter part of a few specific examples of experiments in mathematics discussed the profound impact of the application of higher mathematics, theoretical knowledge and the organic integration of computer knowledge. In specific applications expression : in compressed natural language describes various examples of the basic algorithm, using MATLAB as a programming language, a series of the combined limit, the bonus points will be combined, one graphics area and the length of the horizontal curve equations, and curve tangent process, the rotary body size and shape combined several process issues. Finally on the development prospects of a simple mathematical experiment presentation.
Keywords： Mathematics experimental; Higher Mathematics; MATLAB;
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