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| 作者 |
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(美)普雷斯
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| ISBN |
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750538631X
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| 开本 |
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234×184×37毫米
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| 出版社 |
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电子工业
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| 出版日期 |
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2003-4-1
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| NT$ |
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751
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暂时缺货
配送说明： 国际快递 ， 海运邮递 。
付款说明： 1. VISA、MASTER線上刷卡 2. 信用卡传真刷卡付款 3.
邮政划拨 4. 银行汇款
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| 本书选材内容丰富，包括了当代科学计算过程中涉及的大量内容：求特殊函数值、随机数、排序、最优化、快速傅里叶变换、谱分析、小波变换、统计描述和数据建模、偏微分方程数值解、若干编码算法和任意精度计算等。本书科学性和实用性统一，不仅对每种算法进行了数学分析和比较，而且根据作者经验对算法给出了评论和建议，并在此基础上提供了用C++语言编写的实用程序，本书中的345个程序构成了C++语言的数值计算程序库。 |
| 本书可以作为从事科学计算的科技工作者的工具书，计算机软件开发者的参考书，也可以作为大学本科生和研究生的参考书或教材。 |
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| 1.1ProgramOrganizationandControlStructures |
| 1.2SomeC++ConventionsforScientificComputing |
| 1.3ImptementationoftheVectorandMatrixClasses |
| 1.4Error,Accuracy,andStability |
| 2SolutionofLinearAlgebraicEquations |
| 2.1Gauss-JordanElimination |
| 2.2GaussianEliminationwithBacksubstitution |
| 2.3LUDecompositionandItsApplications |
| 2.4TridiagonalandBandDiagonalSystemsofEquations |
| 2.5IterativeImprovementofaSolutiontoLinearEquations |
| 2.6SingularValueDecomposition |
| 2.8VandermondeMatricesandToeplitzMatrices |
| 2.11IsMatrixInversionanN3Process? |
| 3InterpolationandExtrapolation |
| 3.1PolyaomialInterpolationandExtrapolation |
| 3.2RationalFunctionInterpolationandExtrapolation |
| 3.3CubicSplineInterpolation |
| 3.4HowtoSearchanOrderedTable |
| 3.5CoefficientsoftheInterpolatingPolynomial |
| 3.6InterpolationinTwoorMoreDimensions |
| 4.1ClassicalFormulasforEquallySpacedAbscissas |
| 4.5GaussianQuadraturesandOrthogonalPolynomials |
| 4.6MultidimensionalIntegrals |
| 5.1SeriesandTheirConvergence |
| 5.2EvaluationofContinuedFractions |
| 5.3PolynomialsandRationalFunctions |
| 5.5RecurrenceRelationsandClenshaw'sRecurrenceFormula |
| 5.6QuadraticandCubicEquations |
| 5.8ChebyshevApproximation |
| 5.9DerivativesorIntegralsofaChebyshev-approximatedFunction |
| 3.10PolynomialApproximationfromChebyshevCoefficients |
| 5.11EconomizationofPowerSeries |
| 5.13RationalChebyshevAppmximation |
| 5.14EvaluationofFunctionsbyPathIntegration |
| 6.1GammaFunction,BetaFunction,Factorials.BinomialCoefficients |
| 6.2IncompleteGammaFunction,ErrorFunction.Chi-SquareProbabilityFunction,CumulativePoissonFunction |
| 6.4IncompleteBetaFunction,Student'sDistribution,F-DistributionCumulativeBinomialDistribution |
| 6.5BesselFunctionsofIntegerOrder |
| 6.6ModifiedBesselFunctionsofIntegerOrder |
| 6.7BesselFunctionsofFractionalOrder,AiryFunctions,SphericalBesselFunctions |
| 6.9FresnelIntegrals,CosineandSineIntegrals |
| 6.llEllipticIntegralsandJacobianEllipticFunctions |
| 6.12HypergeometricFunctions |
| 7.2TransformationMethod:ExponentialandNormalDeviates |
| 7.3RejectionMethod:Gamma.Poisson,BinomialDeviates |
| 7.4GenerationofRandomBits |
| 7.5RandomSequencesBasedonDataEncryption |
| 7.6SimpleMonteCarloIntegration |
| 7.7Quasi-(thatis,Sub-)RandomSequences |
| 7.8AdaptiveandRecursiveMonteCarloMethods |
| 8.1StraightInsertionandShell'sMethod |
| 8.5SelectingtheMthLargest |
| 8.6DeterminationofEquivalenceClasses |
| 9RootFindingandNonlinearSetsofEquations |
| 9.lBracketingandBisection |
| 9.2SecantMethod,FalsePositionMethod,andRidders'Method |
| 9.3VanWijngaarden-Dekker-BrentMethod |
| 9.4Newton-RaphsonMetkodUsingDerivative |
| 9.6Newton-RaphsonMealodforNonlinearSystemsofEquations |
| 9.7GloballyConvergentMethodsforNonlinearSystemsofEquations |
| 10MinimizationorMaximizationofFunctions |
| 10.1GoldenSectionSearchinOneDimension |
| 10.2ParaboliclnterpolationandBrent'sMethodinOneDimension |
| 10.3One-DimensionalSearchwithFirstDerivatives |
| 10.4DownhillSimplexMethodinMultidimensions |
| 10.5DirectionSet(Powell's)MethodsinMultidimensions |
| 10.6ConjugateGadientMethodsinMultidimensions |
| 10.7VariableMetricMethodsinMultidimensions |
| 10.9SimulatedAnnealingMeathods |
| 11.1JacobiTransformationsofaSymmetricMatrix |
| 11.2ReductionofaSymmetricMatrixtoTridiagonalForm |
| GivensandHouseholderReductions |
| 11.3EigenvaluesandEigenvectorsofaTridiagonalMatrix |
| 11.5ReductionofaGeneralMatrixtoHessenbergForm |
| 11.6TheQRAlgorithmforRealHessenberyMatrices |
| 11.7ImprovingEigenvaluesand/orFindingEigenvectorsby |
| 12.1FourierTransformofDiscretelySampledData |
| 12.2FastFourierTransform(FFT) |
| 12.3FFTofRealFunctions,SineandCosineTransforms |
| 12.4FFTinTwoorMoreDimensions |
| 12.5FourierTransformsofRealDatainTwoandThreeDimensions |
| 12.6ExternalStorageorMemory-LocalFFTs |
| 13FourierandSpectralApplications |
| 13.1ConvolutionandDeconvolutionUsingtheFFT |
| 13.2CorrelationandAutocorrelationUsingtheFFT |
| 13.3Optimal(Wiener)FilterinwiththeFFT |
| 13.4PowerSpectrumEstimationUsingtheFFT |
| 13.5DigitalFilteringinaheTimeDomain |
| 13.6LinearPredictionandLinearPredictiveCoding |
| 13.7PowerSpectrumEstimationbytheMaximumEntropy |
| 13.8SpectralAnalysisofUnevenlySampledData |
| 13.9ComputingFourierIntegralsUsingUleFFT |
| 13.11NumericalUseoftheSamplingTheorem |
| 14StatisticalDeseriptionofData |
| 14.1MomentsofaDistribution:Mean,Variance,Skewness, |
| 14.2DoTwoDistributionsHavetheSameMeansorVariances? |
| 14.3AreTwoDistributionsDifferent? |
| 14.4ContingencyTableAnalysisofTwoDistributions |
| 14.6NonparametricorRankCorrelation |
| 14.7DoTwo-DimensionalDistributionsDiffer? |
| 14.8Savitzky-GolaySmoothingFilters |
| 15.1LeastSquaresasaMaximumLikelihoodEstimator |
| 15.2FittingDatatoaStraightLine |
| 15.3Straight-LineDatawithErrorsinBothCoordinates |
| 15.4GeneralLinearLeastSquares |
| 15.6ConfidenceLimitsonEstimatedModelParameters |
| 16IntegrationofOrdinaryDifferentialEquations |
| 16.2AdaptiveStepsizeControlforRunge-Kutta |
| 16.3ModifiedMidpointMealod |
| 16.4RichardsonExtrapolationandtheBulirsch-StoerMethod |
| 16.5Second-OrderConservativeEquations |
| l6.7Multistep,Multivalue,andPredictor-CorrectorMethods |
| 17TwoPointBoundaryValueProblems |
| 17.2ShootingtoaFittingPoint |
| 17.4AWorkedExample:SpheroidalHarmonics |
| 17.5AutomatedAllocationofMeshPoints |
| 17.6HandlingInternalBoundaryConditionsorSingularPoints |
| 18IntegralEquationsandInverseTheory |
| 18.1FredholmEquationsoftheSecondKind |
| 18.3IntegralEquationswithSingularKernels |
| 18.4InverseProblemsandtheUseofAPrioriInformation |
| 18.5LinearRegularizationMethods |
| 18.7MaximumEntropyImageRestoration |
| 19PartialDifferentialEquations |
| 19.1Flux-ConservativeInitialValueProblems |
| 19.2DiffusiveInitialValueProblems |
| 19.3InitialValueProblemsinMultidimensions |
| 19.4FourierandCyclicReductionMethodsforBoundary |
| 19.5RelaxationMethodsforBoundaryValueProblems |
| 19.6MultigridMethodsforBoundaryValueProblems |
| 20Less-NumericalAlgorithms |
| 20.1DiagnosingMachineParameters |
| 20.3CyclicRedundancyandOtherChecksums |
| 20.4HuffmanCodingandCompressionofData |
| 20.6ArithmeticatArbitraryPrecision |
| AppendixA:TableofFunetionDeclarations |
| AppendixB:UtilityRoutinesandClasses |
| AppendixC:ConvetringtoSinglePrecision |
| IndexofProgramsandDependencies |
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