作者[美]摩根 著
出版社世界图书出版公司
出版时间2009-05
版次1
装帧平装
货号f1
上书时间2024-08-02
商品详情
- 品相描述:八品
图书标准信息
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作者
[美]摩根 著
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出版社
世界图书出版公司
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出版时间
2009-05
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版次
1
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ISBN
9787506292085
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定价
39.00元
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装帧
平装
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开本
16开
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纸张
胶版纸
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页数
248页
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正文语种
英语
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原版书名
Geometric Measure Theory
- 【内容简介】
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Singulargeometrygovernsthephysicaluniverse:soapbubbleclustersmeetingalongsingularcurves,blackholes,defectsinmaterials,chaoticturbulence,crys-talgrowth.Thegoverningprincipleisoftensomekindofenergyminimization.Geometricmeasuretheoryprovidesageneralframeworkforunderstandingsuchminimalshapes,aprioriallowinganyimaginablesingularityandthenprovingthatonlycertainkindsofstructuresoccur.
- 【目录】
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Prefacevii
1GeometricMeasureTheory
2Measures
3LipschitzFunctionsandRectifiableSets
4NormalandRectifiableCurrents
5TheCompactnessTheoremandtheExistenceofArea-MinimizingSurfaces
6ExamplesofArea-MinimizingSurfaces
7TheApproximationTheorem
8SurveyofRegularityResults
9MonotonicityandOrientedTangentCones
10TheRegularityofArea-MinimizingHypersurfaces
11FlatChainsModulov,Varifolds,andMinimalSets
12MiscellaneousUsefulResults
13SoapBubbleClusters
14ProofofDoubleBubbleConjecture
15TheHexagonalHoneycombandKelvinConjectures
16ImmiscibleFluidsandCrystals
17IsoperimetricTheoremsinGeneralCodimension
18ManifoldswithDensityandPerelmansProofofthePoincareConjecture
19DoubleBubblesinSpheres,GaussSpace,andTori
SolutionstoExercises
Bibliography
IndexofSymbols
NameIndex
SuhiectIndex
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