微积分在经济学中地指导应用.doc

《微积分在经济学中地指导应用.doc》由会员上传分享，免费在线阅读，更多相关内容在行业资料-天天文库。

1、微积分在经济学中的应用TheApplicationofCalculusinEconomics王猛统计与应用数学学院统计学专业2006（0）班200672016指导教师：柴彩春摘要：经济学与数学是有着十分密切关系的两个学科，经济学中的很多经济现象经济理论都能够用数学知识去解释。现代化经济理论已经从过去的经济定性分析发展成为量性分析和定性分析相结合。微积分作为数学知识的基础，是学习经济学的必备知识，在这里我要介绍一下微积分知识在经济学中的一些基本的应用。微积分在经济领域中的应用，主要是研究在这一领域中出

2、现的一些函数关系，因此必须了解一些经济分析中常见的函数。价格函数、需求函数、成本函数、收益函数等等。还有弹性的经济分析，需求弹性、收益弹性等等。最优化问题是经济管理活动的核心，各种最优化问题也是微积分中最关心的问题之一。这些重要的经济理论都可以用微积分的一些容解释，所以说微积分在经济学中的应用是十分有效的。关键词：导数；积分；需求函数；弹性函数；价格函数；弹性；极限Abstract:Thereisaverycloserelationshipbetweeneconomicsandmathematics

3、.Manyphenomenaandtheoriesineconomicscanbeexplainedbymathematicalideal.Inthepast,westudiedeconomicsbythetheoryofqualitativeanalysis.Butnow,thetheoryofquantitativeandqualitativeanalysishavebeencombinedtogethertohelpusstudingmoderneconomics.Calculusisanec

4、essarysubjectwhenweemulatetheknowledgeofeconomicsforitisthefoundationofmathematics.Now,IwouldIntroducesomebasicapplicationsabouttheknowledgeofcalculusineconomics.Wewillmainlyresearchsomefunctionsinthisarea,thereforewemustunderstandsomecommonfunctionsab

5、outit,justlikepricefunction,demandfunction,costfunction,revenuefunction,etc.Therearealsoflexibleeconomicanalysis,demandelasticity,incomeelasticity,etcthatweshouldget.Optimizationisthecoreproblemofeconomyandmanagementactivitiesanditisalsotheoneofthemost

6、concernedproblemsincalculus.Alloftheseimportanteconomictheoriescanbeexplainedbysomeoftheelementsincalculus,sowecansaythatcalculusisdoingabighelpwhenwestudyeconomics.Keywords:Derivative;integration;marginalcostfunction;elastic;flexible;functions;theulti

7、mate目录1.引言····························································12．微积分在经济学中的应用··············································32.1导数在经济学中的应用············································32.2极限在经济学中的应用·············································112.3

8、积分在经济学中的应用·······································123.总结·····························································14参考文献······························································161.引言微积分的产生是数学上的伟大创造。它从生产技术和理论科学的需要中产生，又反过来广泛影响着生产技