物理学和工程学中的计算方法(第2版)
正版现货,品相完整,套书只发一本,多版面书籍只对书名
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65.91
九品
仅1件
作者S.S.M.Wong 著
出版社世界图书出版公司
出版时间2000-06
版次1
装帧平装
上书时间2024-09-17
商品详情
- 品相描述:九品
图书标准信息
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作者
S.S.M.Wong 著
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出版社
世界图书出版公司
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出版时间
2000-06
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版次
1
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ISBN
9787506247207
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定价
60.00元
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装帧
平装
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开本
24开
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纸张
胶版纸
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页数
508页
- 【内容简介】
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Computationalmethodsformanincreasinglyimportantpartoftheundergraduatecurricu-luminphysicsandengineeringthesedays.Thisbookismainlyconcernedwiththewaysthatcomputersmaybeusedtoadvanceastudentsunderstandingofphysics.Alargepartofthematerialiscommontoengineeringaswell.Thesubjectmattercoveredinthisvolumemaybeclassifiedalsounderthetitleof"computationalphysics."Thereareseveralwaystoorganizethematerialthatshouldbeincluded.Thechoicemadehereistofollowthetraditionalapproachofmathematicalphysics.Thatis,thechaptersandsectionsaregroupedaroundmethods,withphysicalproblemsusedasthemotivationandexamples.Oneattractivealternativeistogrouparoundphysicalphenomena.Thedifficultyoffollowingthiswayoforganizationistheheavyrelianceonthephysicsbackgroundofthereaders,thusmakingithardertofollowforstudentsatearlystagesoftheireducation.Forthisreason,suchanapproachisrejected.
此书为英文版!
- 【目录】
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PrefacetotheFirstEdition
PrefacetotheSecondEdition
1ComputationalMethods
1-1Numericalcalculationsandbeyond
1-2Integersandfloatingnumbers
1-3Programminglanguageandprogramlibrary
1-4Examplesofalgebraic,integerandfloatingnumbercalculations
1-5Examplesofunconventionaltechniques
Problems
2IntegrationandDifferentiation
2-1Numericalintegration
2-2Rectangularandtrapezoidalrules
2-3Simpsonsrule
2-4Gaussianquadrature
2-5MonteCarlointegration
2-6Multidimensionalintegralsandimproperintegrals
2-7Numericaldifferentiation
Problems
3InterpolationandExtrapolation
3-1Polynomialinterpolation
3-2Interpolationusingrationalfunctions
3-3Continuedfraction
3-4Fouriertransform
3-5Extrapolation
3-6Inverseinterpolation
3-7Cubicspline
Problems
4SpecialFunctions
4-1Hermitepolynomialsandharmonicoscillator
4-2Legendrepolynomialsandsphericalharmonics
4-3SphericalBesselfunctions
4-4Laguerrepolynomials
4-5Errorintegralsandgammafunctions
Problems
5Matrices
5-1Systemoflinearequations
5-2MatrixinversionandLU-decomposition
5-3Matrixapproachtotheeigenvalueproblem
5-4Tridiagonalizationmethod
5-5Eigenvaluesandeigenvectorsofatridiagonalmatrix
5-6Lanczosmethodofconstructingmatrices
5-7Nonsymmetricmatricesandcomplexmatrices
Problems
6MethodsofLeastSquares
6-1Statisticaldescriptionofdata
6-2Uncertaintiesandtheirpropagation
6-3Themethodofmaximumlikelihood
6-4Themethodofleastsquares
6-5Statisticaltestsoftheresults
6-6Linearleast-squaresfit
6-7Nonlinearleast-squaresfittodata
Problems
7MonteCarloCalculations
7-1Generationofrandomnumbers
7-2MoleculardiffusionandBrownianmotion
7-3Datasimulationandhypothesistesting
7-4Percolationandcriticalphenomena
7-5TheIsingmodel
7-6Pathintegralsinquantummechanics
7-7Fractals
Problems
8FiniteDifferenceSolutionofDifferentialEquations
8-1Typesofdifferentialequations
8-2Runge-Kuttamethods
8-3Solutionofinitialvalueproblemsbyextrapolation
8-4Boundaryvalueproblemsbyshootingmethods
8-5Relaxationmethods
8-6Boundaryvalueproblemsinpartialdifferentialequations
8-7Parabolicpartialdifferentialequations
8-8Hyperbolicpartialdifferentialequations
8-9Nonlineardifferentialequations
8-10Stiffnessproblems
Problems
9FiniteElementSolutiontoPDE
9-1Background
9-2Shapefunctionsandfiniteelementapproximation
9-3Assemblingcontributionsfromelements
9-4Variationalapproach
9-5Applicationtoatwo-dimensionalPoissonequation
Problems
AppendixA
A-1Decompositionintoprimenumbers
A-2Bit-reversedorder
A-3Gaussianeliminationofatridiagonalmatrix
A-4Randombitgenerator
A-5Reductionofhigher-orderODEtofirst-order
AppendixBListofFortranProgramExamples
Bibliography
Index
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