激波和反应扩散方程 第2版
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九品
仅1件
作者J.Smoller 编
出版社世界图书出版公司
出版时间1999-03
版次2
装帧平装
货号1WA1
上书时间2022-07-23
商品详情
- 品相描述:九品
图书标准信息
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作者
J.Smoller 编
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出版社
世界图书出版公司
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出版时间
1999-03
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版次
2
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ISBN
9787506241007
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定价
79.00元
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装帧
平装
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开本
24开
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纸张
胶版纸
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页数
632页
- 【内容简介】
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Mymainpurposeinthisbookistopresentaunifiedtreatmentofthatpartofmeasuretheorywhichinrecentyearshasshownitselftobemostusefulforitsapplicationsinmodernanalysis.IfIhaveaccomplishedmypurpose,thenthebookshouldbefoundusablebothasatextforstudentsandasasourceofreferenceforthemoreadvancedmathematician.
Ihavetriedtokeeptoaminimumtheamountofnewandunusualterminologyandnotation.Inthefewplaceswheremynomenclaturediffersfromthatintheexistingliteratureofmeasuretheory,Iwasmotivatedbyanattempttoharmonizewiththeusageofotherpartsofmathematics.Thereare,forinstance,soundalgebraicreasonsforusingtheterms"lattice"and"ring"forcertainclassesofsets--reasonswhicharemorecogentthanthesimilaritiesthatcausedHausdorfftouse"ring"and"field."
- 【目录】
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Acknowledgment
PrefacetotheSecondEdition
PrefacetotheFirstEdition
ListofFrequentlyUsedSymbols
PARTⅠBasicLinearTheory
CHAPTER1lll-PosedProblems
CHAPTER2CharacteristicsandInitial-ValueProblems
CHAPTER3TheOne-DimensionalWaveEquation
CHAPTER4UniquenessandEnergyIntegrals
CHAPTER5Holmgren'sUniquenessTheorem
CHAPTER6AnInitial-ValueProblemforaHyperbolicEquation
CHAPTER7DistributionTheory
CHAPTER8Second-OrderLinearEllipticEquations
CHAPTER9Second-OrderLinearParabolicEquations
PARTⅡReaction-DiffusionEquations
CHAPTER10ComparisonTheoremsandMonotonicityMethods
CHAPTER11Linearization
CHAPTER12TopologicalMethods
CHAPTER13BifurcationTheory
CHAPTER14SystemsofReaction-DiffusionEquations
PARTⅢTheTheoryofShockWaves
CHAPTER15DiscontinuousSolutionsofConservationLaws
CHAPTER16TheSingleConservationLaw
CHAPTER17TheRiemannProblemforSystemsofConservationLaws
CHAPTER18ApplicationstoGasDynamics
CHAPTER19TheGlimmDifferenceScheme
CHAPTER20RiemannInvariants.Entropy.andUniqueness
CHAPTER21Quasi-LinearParabolicSystems
PARTⅣTheConleyIndex
CHAPTER22TheConleyIndex
CHAPTER23IndexPairsandtheContinuationTheorem
CHAPTER24TravellingWaves
CHAPTER25RecentResults
Bibliography
AuthorIndex
SubjectIndex
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