书籍详情
工程中的数值方法：第三版
作者：（美）StevenC.Chapra，（美）RaymondP.Canale著
出版社：科学出版社
出版时间：2000-01-01
ISBN：9787030087416
定价：¥90.00
内容简介
本书属于中国科学院推荐的研究生用原版教材。作为曾获得美国工程教育协会最佳教材奖的一本优秀教材，本书对理工类师生及工程技术人员均大有神益。90万字的篇幅涵盖了工程技术申用到的绝大多数数值计算方法。从实际的工程实践中总结出来的500多个实例使本书的实用性大大强于许多同类的教科书。丰富的计算机程序及相应的应用软件的介绍使本书的读者能很容易地在计算机上实现大部分算法的求解，精心编排的章后习题及书末附录均会使读者在使用时感到受益匪浅。
作者简介
暂缺《工程中的数值方法：第三版》作者简介
目录
PARTONE
MODELING,ANDERRORANALYSIS
CHAPTER1
MathematicalModelingandEngineeringProblem-Solving
CHAPTER2
ComputersandSoftware
CHAPTER3
ApproximationsandRound-OffErrors
CHAPTER4
TruncationErrorsandtheTaylorSeries
EPILOGUE:PARTONE
pARTTWO
ROOTSOFEQUATIONS
CHAPTER5
BracketingMethods
CHAPTER6
OpenMethods
CHAPTER7
RootsofPolynomials
CHAPTER8
EngineeringApplications:RootsofEquations
EPILOGUE:PARTTWO
PARTTHREE
LINEARALGEBRAICEQUATIONS
CHAPTER9
GaussElimination
CHAPTER10
LUDecompositionandMatrixInversion
CHAPTER11
SpecialMatricesGauss-Seidel
CHAPTER12
EngineeringApplications:LinearAlgebraicEquations
EPILOGUE:PARTTHREE
PARTFOUROPTIMIZATION
CHAPTER13
One-dimensionalUnconstrainedOptimization
CHAPTER14
MultidimensionalUnconstrainedOptimization
CHAPTER15
ConstrainedOptimization
CHAPTER16
EngineeringApplications:Optimization
EPILOGUE:PARTFOUR
PARTFIVE
CURVEFITTING
CHAPTER17
Least-SquaresRegression
CHAPTER18
Interpolation
CHAPTER19
FourierApproximation
CHAPTER20
EngineeringApplications:CurveFitting
EPILOGUE:PARTFIVE
PARTSIX
NUMERICALDIFFERENTIATIONANDINTEGRATION
CHAPTER21
Newton-CotesIntegrationofEquations
CHAPTER22
IntegrationofEquations
CHAPTER23
NumericalDifferentiation
CHAPTER24
EngineeringApplications:NumericalIntegrationandDifferentiation
EPILOGUE:PARTSIX
PARTSEVEN
ORDINARYDIFFERENTIALEQUATIONS
CHAPTER25
Runge-KuttaMethods
CHAPTER26
StiffnessandMultistepMethods
CHAPTER27
Boundary-ValueandEigenvalueProblems
CHAPTER28
EngineeringApplications:OrdinaryDifferentialEquations
EPILOGUE:PARTSEVEN
PARTEIGHT
PARTIALDIFFERENTIALEQUATIONS
CHAPTER29
FiniteDifference:EllipticEquations
CHAPTER30
FiniteDifference:ParabolicEquations
CHAPTER31
FiniteElementMethod
CHAPTER32
EngineeringApplications:PartialDifferentialEquations
EPILOGUE:PARTEIGHT
APPENDIXA:THEFOURIERSERIES
APPENDIXB:GETTINGSTARTEDWITHMATHCAD
APPENDIXC:GETTINGSTARTEDWITHMATLAB
BIBLIOGRAPHY
INDEX
MODELING,ANDERRORANALYSIS
CHAPTER1
MathematicalModelingandEngineeringProblem-Solving
CHAPTER2
ComputersandSoftware
CHAPTER3
ApproximationsandRound-OffErrors
CHAPTER4
TruncationErrorsandtheTaylorSeries
EPILOGUE:PARTONE
pARTTWO
ROOTSOFEQUATIONS
CHAPTER5
BracketingMethods
CHAPTER6
OpenMethods
CHAPTER7
RootsofPolynomials
CHAPTER8
EngineeringApplications:RootsofEquations
EPILOGUE:PARTTWO
PARTTHREE
LINEARALGEBRAICEQUATIONS
CHAPTER9
GaussElimination
CHAPTER10
LUDecompositionandMatrixInversion
CHAPTER11
SpecialMatricesGauss-Seidel
CHAPTER12
EngineeringApplications:LinearAlgebraicEquations
EPILOGUE:PARTTHREE
PARTFOUROPTIMIZATION
CHAPTER13
One-dimensionalUnconstrainedOptimization
CHAPTER14
MultidimensionalUnconstrainedOptimization
CHAPTER15
ConstrainedOptimization
CHAPTER16
EngineeringApplications:Optimization
EPILOGUE:PARTFOUR
PARTFIVE
CURVEFITTING
CHAPTER17
Least-SquaresRegression
CHAPTER18
Interpolation
CHAPTER19
FourierApproximation
CHAPTER20
EngineeringApplications:CurveFitting
EPILOGUE:PARTFIVE
PARTSIX
NUMERICALDIFFERENTIATIONANDINTEGRATION
CHAPTER21
Newton-CotesIntegrationofEquations
CHAPTER22
IntegrationofEquations
CHAPTER23
NumericalDifferentiation
CHAPTER24
EngineeringApplications:NumericalIntegrationandDifferentiation
EPILOGUE:PARTSIX
PARTSEVEN
ORDINARYDIFFERENTIALEQUATIONS
CHAPTER25
Runge-KuttaMethods
CHAPTER26
StiffnessandMultistepMethods
CHAPTER27
Boundary-ValueandEigenvalueProblems
CHAPTER28
EngineeringApplications:OrdinaryDifferentialEquations
EPILOGUE:PARTSEVEN
PARTEIGHT
PARTIALDIFFERENTIALEQUATIONS
CHAPTER29
FiniteDifference:EllipticEquations
CHAPTER30
FiniteDifference:ParabolicEquations
CHAPTER31
FiniteElementMethod
CHAPTER32
EngineeringApplications:PartialDifferentialEquations
EPILOGUE:PARTEIGHT
APPENDIXA:THEFOURIERSERIES
APPENDIXB:GETTINGSTARTEDWITHMATHCAD
APPENDIXC:GETTINGSTARTEDWITHMATLAB
BIBLIOGRAPHY
INDEX
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