fundamental numerical methods and data analysis - g. w. collins

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1、FundamentalNumericalMethodsandDataAnalysisbyGeorgeW.Collins,II©GeorgeW.Collins,II2003TableofContentsListofFigures.....................................................................................................................................viList

2、ofTables.......................................................................................................................................ixPreface....................................................................................................

3、.........................xiNotestotheInternetEdition...................................................................................xiv1.IntroductionandFundamentalConcepts..........................................................................11.1

4、BasicPropertiesofSetsandGroups..........................................................................31.2Scalars,Vectors,andMatrices...................................................................................51.3CoordinateSystemsandCoordinate

5、Transformations..............................................81.4TensorsandTransformations....................................................................................131.5Operators................................................................

6、...................................................18Chapter1Exercises...............................................................................................................22Chapter1ReferencesandAdditionalReading...............................

7、......................................232.TheNumericalMethodsforLinearEquationsandMatrices........................................252.1ErrorsandTheirPropagation....................................................................................262.2Dir

8、ectMethodsfortheSolutionofLinearAlgebraicEquations.............................28a.SolutionbyCramer'sRule............................................................................28b.SolutionbyGaussianElimination......................