mathematical methods of engineering analysis - e. cinlar, r. vanderbei

《mathematical methods of engineering analysis - e. cinlar, r. vanderbei》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、MathematicalMethodsofEngineeringAnalysisErhanC¸inlarRobertJ.VanderbeiFebruary2,2000ContentsSetsandFunctions11Sets...................................1Subsets.............................2SetOperations.........................2DisjointSets..........................3ProductsofSets.....................

2、...32FunctionsandSequences........................4Injections,Surjections,Bijections...............4Sequences............................53Countability...............................64OntheRealLine............................8PositiveandNegative......................9Increasing,Decreasing..........

3、...........9Bounds.............................9SupremumandInfimum....................9Limits..............................10ConvergenceofSequences...................115Series..................................14RatioTest,RootTest......................16PowerSeries..........................17Absolute

4、Convergence.....................18Rearrangements.........................19MetricSpaces236EuclideanSpaces............................23InnerProductandNorm....................23EuclideanDistance.......................247MetricSpaces..............................25Usage..............................2

5、6DistancesfromPointstoSetsandfromSetstoSets......26Balls..............................268OpenandClosedSets..........................29ClosedSets...........................30Interior,Closure,andBoundary................30iOpenSubsetsoftheRealLine.................319Convergence........................

6、......34Subsequences..........................35ConvergenceandClosedSets.................3610Completeness..............................37CauchySequences.......................37CompleteMetricSpaces....................3811Compactness..............................40CompactSubspaces...................

7、...40ClusterPoints,Convergence,Completeness..........41CompactnessinEuclideanSpaces...............42FunctionsonMetricSpaces4512ContinuousMappings..........................45ContinuityandOpenSets............