新書推薦：
《
不同境遇的36岁：无尽与有限+人生半熟
》
售價：HK$
112.0
《
小时光 油画棒慢绘零基础教程
》
售價：HK$
88.5
《
可控性混乱
》
售價：HK$
66.1
《
篡魏：司马懿和他的夺权同盟
》
售價：HK$
65.0
《
狂飙年代：18世纪俄国的新文化和旧文化（第三卷）
》
售價：HK$
177.0
《
协和专家大医说：医话肿瘤
》
售價：HK$
109.8
《
潜水指南 全彩图解第4版
》
售價：HK$
132.2
《
超大规模集成电路设计——从工具到实例
》
售價：HK$
88.5
|
| 內容簡介： |
Inthisbookweaimtopresent，inaunifiedframework，abroadspectrumofmathematicaltheorythathasgrowninconnectionwiththestudyofproblemsofoptimization，equilibrium，control，andstabilityoflinearandnonlinearsystems.ThetitleVariationalAnalysisrefiectsthisbreadth.
Foralongtime，variationalproblemshavebeenidentifiedmostlywiththe''calculusofvariations''.Inthatvenerablesubject，builtaroundtheminimizationofintegralfunctionals，constraintswererelativelysimpleandmuchofthefocuswasoninfinite-dimensionalfunctionspaces.Amajorthemewastheexplorationofvariationsaroundapoint，withintheboundsimposedbytheconstraints，inordertohelpcharacterizesolutionsandportraythemintermsof''variationalprinciples''.Notionsofperturbation，approximationandevengeneralizeddifferentiabilitywereextensivelyinvestigated，Variationaltheoryprogressedalsotothestudyofso-calledstationarypoints，criticalpoints，andotherindicationsofsingularitythatapointmighthaverelativetoitsneighbors，especiallyinassociationwithexistencetheoremsfordifferentialequations.
|
| 目錄：
|
Chapter1.MaxandMin
A.PenaltiesandConstraints
B.EpigraphsandSemicontinuity
C.AttainmentofaMinimum
D.Continuity,ClosureandGrowth
E.ExtendedArithmetic
F.ParametricDependence
G.MoreauEnvelopes
H.Epi-AdditionandEpi-Multiplication
I*.AuxiliaryFactsandPrinciples
Commentary
Chapter2.Convexity
A.ConvexSetsandFunctions
B.LevelSetsandIntersections
C.DerivativeTests
D.ConvexityinOperations
E.ConvexHulls
F.ClosuresandContimuty
G.*Separation
H*RelativeInteriors
I*PiecewiseLinearFunctions
J*OtherExamples
Commentary
Chapter3.ConesandCosmicClosure
A.DirectionPoints
B.HorizonCones
C.HorizonFunctions
D.CoercivityProperties
E*ConesandOrderings
F*CosmicConvexity
G*PositiveHulls
Commentary
Chapter4.SetConvergence
A.InnerandOuterLimits
B.Painleve-KuratowskiConvergence
C.Pompeiu-HausdorffDistance
D.ConesandConvexSets
E.CompactnessProperties
F.HorizonLimits
G*ContimutyofOperations
H*QuantificationofConvergence
I*HyperspaceMetrics
Commentary
Chapter5.Set-ValuedMappings
A.Domains,RangesandInverses
B.ContinuityandSemicontimuty
C.LocalBoundedness
D.TotalContinuity
E.PointwiseandGraphicalConvergence
F.EquicontinuityofSequences
G.ContinuousandUniformConvergence
H*MetricDescriptionsofConvergence
I*OperationsonMappings
J*GenericContinuityandSelections
Commentary.
Chapter6.VariationalGeometry
A.TangentCones
B.NormalConesandClarkeRegularity
C.SmoothManifoldsandConvexSets
D.OptimalityandLagrangeMultipliers
E.ProximalNormalsandPolarity
F.Tangent-NormalRelations
G*RecessionProperties
H*IrregularityandConvexification
I*OtherFormulas
Commentary
Chapter7.EpigraphicalLimits
A.PointwiseConvergence
B.Epi-Convergence
C.ContinuousandUniformConvergence
D.GeneralizedDifferentiability
E.ConvergenceinMinimization
F.Epi-ContinuityofFunction-ValuedMappings
G.ContinuityofOperations
H*TotalEpi-Convergence
I*Epi-Distances
J*SolutionEstimates
Commentary
Chapter8.SubderivativesandSubgradients
A.SubderivativesofFunctions
B.SubgradientsofFunctions
C.ConvexityandOptimality
D.RegularSubderivatives
E.SupportFunctionsandSubdifferentialDuality
F.Calmness
G.GraphicalDifferentiationofMappings
H*Proto-DifferentiabilityandGraphicalRegularity
I*ProximalSubgradients
J*OtherResults
Commentary
Chapter9.LipschitzianProperties
A.Single-ValuedMappings
B.EstimatesoftheLipschitzModulus
C.SubdifferentialCharacterizations
D.DerivativeMappingsandTheirNorms
E.LipschitzianConceptsforSet-ValuedMappings
……
Chapter10.SubdifferentialCalculus
Chapter11.Dualization
Chapter12.MonotoneMappings
Chapter13.Second-OrderTheory
Chapter14.Measurability
|
|
購物車/收銀台(0) | 在線留言板
| 付款方式
| 運費計算
| 聯絡我們
| 幫助中心 |
加入書簽
HOME
新書上架
