multivariate calculus - alder

multivariate calculus - alder

ID:14312867

大小:1.08 MB

頁(yè)數(shù):197頁(yè)

時(shí)間:2018-07-27

multivariate calculus - alder_第1頁(yè)
multivariate calculus - alder_第2頁(yè)
multivariate calculus - alder_第3頁(yè)
multivariate calculus - alder_第4頁(yè)
multivariate calculus - alder_第5頁(yè)
資源描述:

《multivariate calculus - alder》由會(huì)員上傳分享,免費(fèi)在線閱讀,更多相關(guān)內(nèi)容在學(xué)術(shù)論文-天天文庫(kù)。

1、2C2MultivariateCalculusMichaelD.AlderNovember13,20022Contents1Introduction52Optimisation72.1TheSecondDerivativeTest...................73ConstrainedOptimisation153.1LagrangianMultipliers......................154FieldsandForms234.1De?nitionsGalore.........................234.2Integrating1-forms(vector

2、?elds)overcurves..........304.3IndependenceofParametrisation................344.4ConservativeFields/ExactForms................374.5ClosedLoopsandConservatism.................405Green’sTheorem475.1Motivation.............................475.1.1Functionsastransformations...............475.1.2ChangeofVa

3、riablesinIntegration...........505.1.3SpinFields........................525.2Green’sTheorem(ClassicalVersion)..............5534CONTENTS5.3Spin?eldsandDi?erential2-forms...............585.3.1TheExteriorDerivative.................635.3.2ForthePureMathematicians...............705.3.3Returntothe(relativ

4、ely)mundane............725.4MoreonDi?erentialStretching.................735.5Green’sTheoremAgain.....................876Stokes’Theorem(ClassicalandModern)976.1Classical..............................976.2Modern..............................1036.3Divergence.............................1167FourierTheor

5、y1237.1VariousKindsofSpaces.....................1237.2FunctionSpaces.........................1287.3Applications...........................1327.4FiddlyThings..........................1357.5OddandEvenFunctions....................1427.6FourierSeries...........................1437.7Di?erentiationandInte

6、grationofFourierSeries........1507.8Functionsofseveralvariables..................1518PartialDi?erentialEquations1558.1Introduction............................1558.2TheDi?usionEquation......................1598.2.1Intuitive..........................1598.2.2SayingitinAlgebra...................1628.3La

7、place’sEquation........................165CONTENTS58.4TheWaveEquation........................1698.5Schr¨odinger’sEquation......................1738.6TheDirichletProblemforLaplace’sEquation.........174

當(dāng)前文檔最多預(yù)覽五頁(yè),下載文檔查看全文

此文檔下載收益歸作者所有

當(dāng)前文檔最多預(yù)覽五頁(yè),下載文檔查看全文
溫馨提示:
1. 部分包含數(shù)學(xué)公式或PPT動(dòng)畫的文件,查看預(yù)覽時(shí)可能會(huì)顯示錯(cuò)亂或異常,文件下載后無(wú)此問(wèn)題,請(qǐng)放心下載。
2. 本文檔由用戶上傳,版權(quán)歸屬用戶,天天文庫(kù)負(fù)責(zé)整理代發(fā)布。如果您對(duì)本文檔版權(quán)有爭(zhēng)議請(qǐng)及時(shí)聯(lián)系客服。
3. 下載前請(qǐng)仔細(xì)閱讀文檔內(nèi)容,確認(rèn)文檔內(nèi)容符合您的需求后進(jìn)行下載,若出現(xiàn)內(nèi)容與標(biāo)題不符可向本站投訴處理。
4. 下載文檔時(shí)可能由于網(wǎng)絡(luò)波動(dòng)等原因無(wú)法下載或下載錯(cuò)誤,付費(fèi)完成后未能成功下載的用戶請(qǐng)聯(lián)系客服處理。