毕业设计论文摘要

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随着科技的发展，社会的进步，物理已渗入到人类生活的各个领域。为了

摘 要

更准确、客观的描述和解决实际的复杂问题，寻求相应的研究方法就显得尤为重要，许多的数学家和物理学家为此做了大量的工作。然而随着微积分学研究的发展，微元法成为研究和解决一些复杂的物理问题的一个重要方法。作为分析、解决现实中实际物理问题中的常用方法，它在物理学中具有广泛的应用。本文通过对微元法的深入探究，以便其能在物理学新的领域中广泛应用。

第一章：简要的阐述了微积分产生的背景和发展概况，以及研究微积分的常用方法，然后介绍了几种常见的微分——一元微分，多元微分，一阶微分，高阶微分，最后介绍了本文的选题和所做的主要工作。

第二章：介绍了微元法概念产生的背景与意义，以及在用微元法解决实际问题的步骤，了解了微元法在取元过程中规则和技巧，阐述了它的主要应用范畴。 第三章：将微元法应用到实际的物理学问题中，主要简述了微元法在经典力学，热力学，电磁学，核物理学中的应用。 关键词：微积分；微元法；物理学








The Application of Differential Element Method in Physics Abstract

With the development of science and technology and social progress, the physics has been infiltrated into many fields of human life. To be more precise and objective description and solve practical complex problems, it is important to seek the corresponding research methods. Many mathematicians and physicists have done a lot of work for this purpose. However, with the development of calculus, the differential element method has been an important method to study and solve complex physical problems. As a common method to analysis and solve practical physical problems, it has wide application in physics. Based on the further study of differential element method, this article make it have more wide application in new physical fields.

Chapter One: First, the background, development survey and research method of infinitesimal calculus are exposited briefly. Then, some common differentiation is introduced, i.e. one variable differentiation, multiple variable differentiation, first order differentiation and higher order differentiation. Finally, the topic and main work done of this article are introduced.

Chapter Two: We introduce the step of using differential element method to solve practical problems, as well as the background and


significance of differential element method. We know the rules and techniques of taking element, and describe the major application areas of differential element method.

Chapter Three: We apply differential element method to the practical physical problems, and mainly discuss the application in classical mechanics, thermodynamic, electromagnetism and nuclear physics.

Key Words: Calculus；Differential Element Method；Physics

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