• 经典数学丛书(影印版):非线性分析方法

经典数学丛书(影印版):非线性分析方法

52 7.5折 69 九五品

仅1件

河北廊坊
认证卖家担保交易快速发货售后保障

作者张恭庆 著

出版社世界图书出版公司

出版时间2014-05

版次1

装帧平装

上书时间2022-02-24

慧慧书屋

三年老店
已实名 进店 收藏店铺

   商品详情   

品相描述:九五品
图书标准信息
  • 作者 张恭庆 著
  • 出版社 世界图书出版公司
  • 出版时间 2014-05
  • 版次 1
  • ISBN 9787510075933
  • 定价 69.00元
  • 装帧 平装
  • 开本 24开
  • 纸张 胶版纸
  • 页数 439页
  • 正文语种 英语
  • 丛书 经典数学丛书
【内容简介】
  Manynonlinearanalysisproblemshavetheirrootsingeometry,astronomy,fluidandelasticmechanics,physics,chemistry,biology,controltheory,imageprocessingandeconomics.Thetheoriesandmethodsinnonlinearanalysisstemfrommanyareasofmathematics:Ordinarydrfferentialequations,partialdifferentialequations,thecalculusofvariations,dynamicalsystems,differentialgeometry,Liegroups,algebraictopology,linearandnonlinearfunctionalanalysis,measuretheory,harmonicanalysis,convexanalysis,gametheory,optimizationtheory,etc.Amidstsolvingtheseproblems,manybranchesareintertwined,therebyadvancingeachother.
  Thebookistheresultofmanyyearsofrevisionoftheauthor'slecturenotes.Someofthemoreinvolvedsectionswereoriginallyusedinseminarsasintroductorypartsofsomenewsubjects.However,duetotheirimportance,thematerialshavebeenreorganizedandsupplemented,sothattheymaybemorevaluabletothereaders.
【目录】
1Linearization
1.1DifferentialCalculusinBanachSpaces
1.1.1FrechetDerivativesandGateauxDerivatives
1.1.2NemytsckiOperator
1.1.3High-OrderDerivatives
1.2ImplicitFunctionTheoremandContinuityMethod
1.2.1InverseFunctionTheorem
1.2.2Applications
1.2.3ContinuityMethod
1.3Lyapunov-SchmidtReductionandBifurcation
1.3.1Bifurcation
1.3.2Lyapunov-SchmidtReduction
1.3.3APerturbationProblem
1.3.4Gluing
1.3.5Transversality
1.4HardImplicitFunctionTheorem
1.4.1TheSmallDivisorProblem
1.4.2Nash-MoserIteration

2Fixed-PointTheorems
2.1OrderMethod
2.2ConvexFunctionandItsSubdifferentials
2.2.1ConvexFunctions
2.2.2Subdifferentials
2.3ConvexityandCompactness
2.4NonexpansiveMaps
2.5MonotoneMappings
2.6MaximalMonotoneMapping

3DegreeTheoryandApplications
3.1TheNotionofTopologicalDegree
3.2FundamentalPropertiesandCalculationsofBrouwerDegrees
3.3ApplicationsofBrouwerDegree
3.3.1BrouwerFixed-PointTheorem
3.3.2TheBorsuk-UlamTheoremandItsConsequences
3.3.3DegreesforSlEquivariantMappings
3.3.4Intersection
3.4Leray-SchauderDegrees
3.5TheGlobalBifurcation
3.6Applications
3.6.1DegreeTheoryonClosedConvexSets,
3.6.2PositiveSolutionsandtheScalingMethod
3.6.3Krein-RutmanTheoryforPositiveLinearOperators
3.6.4MultipleSolutions
3.6.5AFreeBoundaryProblem
3.6.6Bridging
3.7Extensions
3.7.1Set-ValuedMappings
3.7.2StrictSetContractionMappingsandCondensingMappings
3.7.3FredholmMappings

4MinimizationMethods
4.1VariationalPrinciples
4.1.1ConstraintProblems
4.1.2Euler-LagrangeEquation
4.1.3DualVariationalPrinciple
4.2DirectMethod
4.2.1FundamentalPrinciple
4.2.2Examples
4.2.3ThePrescribingGaussianCurvatureProblemandtheSchwarzSymmetricRearrangement
4.3Quasi-Convexity
4.3.1WeakContinuityandQuasi-Convexity
4.3.2MorreyTheorem
4.3.3NonlinearElasticity
4.4RelaxationandYoungMeasure
4.4.1Relaxations
4.4.2YoungMeasure
4.5OtherFunctionSpaces
4.5.1BVSpace
4.5.2HardySpaceandBMOSpace
4.5.3CompensationCompactness
4.5.4ApplicationstotheCalculusofVariations
……
5TopologicalandVariationalMethods
Notes
References
点击展开 点击收起

   相关推荐   

—  没有更多了  —

以下为对购买帮助不大的评价

此功能需要访问孔网APP才能使用
暂时不用
打开孔网APP