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MATLAB经典教程:MATLAB编程与数值方法导论

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发表于 2009-12-27 21:19:50 | 显示全部楼层 |阅读模式

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本帖最后由 eecsseudl 于 2013-4-29 10:16 编辑

MATLAB经典教程:MATLAB编程与数值方法导论,(英文版) 目录如下:1. Simple Calculations with MATLAB ........................ 1
1.1 IntroductionandaWordofWarning........................ 1
1.2 ScalarQuantitiesandVariables ............................ 2
1.2.1 Rules forNamingofVariables........................ 4
1.2.2 Precedence: The Order in Which Calculations Are Per-
formed............................................ 5
1.2.3 MathematicalFunctions............................. 8
1.3 Format:TheWayinWhichNumbersAppear ................ 12
1.4 Vectors inMATLAB...................................... 13
1.4.1 InitialisingVectorObjects........................... 13
1.4.2 ManipulatingVectorsandDotArithmetic ............. 14
1.5 SettingUpMathematicalFunctions......................... 17
1.6 SomeMATLABSpecificCommands ........................ 20
1.6.1 LookingatVariablesandTheirSizes.................. 22
1.7 Accessing Elements of Arrays .............................. 23
1.8 Tasks ................................................... 24
2. Writing Scripts and Functions .............................. 27
2.1 CreatingScriptsandFunctions............................. 27
2.1.1 Functions ......................................... 30
2.1.2 BriefAside ........................................ 35
2.2 Plotting Simple Functions ................................. 36
2.2.1 Evaluating Polynomials and Plotting Curves ........... 41
2.2.2 More on Plotting ................................... 44
2.3 FunctionsofFunctions .................................... 49
2.4 Errors .................................................. 512.4.1 NumericalErrors................................... 51
2.4.2 UserError......................................... 54
2.5 Tasks ................................................... 57
3. Loops and Conditional Statements .......................... 63
3.1 Introduction ............................................. 63
3.2 LoopsStructures ......................................... 63
3.3 SummingSeries .......................................... 68
3.3.1 Sums of Series of the Form
N 
j=1
jp, p ∈ N............... 73
3.3.2 Summing Infinite Series ............................. 76
3.3.3 Summing Series Using MATLAB Specific Commands . . . 79
3.3.4 LoopsWithinLoops (Nested)........................ 82
3.4 Conditional Statements ................................... 83
3.4.1 Constructing Logical Statements ..................... 85
3.4.2 The MATLAB Command switch .................... 88
3.5 Conditional loops......................................... 90
3.5.1 The break Command............................... 92
3.6 MATLABSpecificCommands ............................. 92
3.7 ErrorChecking........................................... 94
3.8 Tasks ................................................... 97
4. Root Finding ............................................... 103
4.1 Introduction .............................................103
4.2 InitialEstimates .........................................104
4.3 Fixed Point Iteration .....................................109
4.4 Bisection ................................................113
4.5 Newton–RaphsonandSecantMethods ......................117
4.5.1 Derivationof theNewton–RaphsonMethod............117
4.6 RepeatedRootsofFunctions...............................123
4.7 ZerosofHigher-DimensionalFunctions(*) ...................125
4.8 MATLABRoutines forFindingZeros .......................128
4.8.1 RootsofaPolynomial ..............................128
4.8.2 The Command fzero ...............................128
4.9 Tasks ...................................................130
5. Interpolation and Extrapolation ............................ 133
5.1 Introduction .............................................133
5.2 Saving and Reading Data ..................................134
5.3 WhichPoints toUse?.....................................139
5.4 Newton Forward Differences and Lagrange Polynomials .......141
5.4.1 Linear Interpolation/Extrapolation ...................1475.5 CalculatingInterpolatedandExtrapolatedValues ............148
5.6 Splines..................................................150
5.7 CurvesofBestFit........................................152
5.8 Interpolation of Non-Smooth Data ..........................155
5.8.1 Insufficient Data Points .............................158
5.9 MinimisationofFunctionsandParameterRetrieval ...........161
5.9.1 ParameterRetrieval ................................163
5.9.2 Using fmins forParameterRetrieval..................164
5.10 Tasks ...................................................166
6. Matrices .................................................... 169
6.1 Introduction .............................................169
6.1.1 InitialisingMatricesWithinMATLAB ................169
6.1.2 MatrixOperations..................................174
6.1.3 OperationsonElementsofMatrices ..................180
6.1.4 MoreonSpecialMatrices............................182
6.1.5 MatricesContainingStrings .........................185
6.2 PropertiesofMatricesandSystemsofEquations .............186
6.2.1 DeterminantsofMatrices............................190
6.3 ElementaryRowOperations ...............................191
6.3.1 Solving Many Equations at Once .....................198
6.4 MatrixDecomposition ....................................199
6.5 EigenvaluesandEigenvectors ..............................204
6.6 SpecificMATLABCommands .............................208
6.7 CharacteristicPolynomials ................................212
6.8 ExponentialsofMatrices ..................................214
6.9 Tasks ...................................................217
7. Numerical Integration ...................................... 225
7.1 Introduction .............................................225
7.2 IntegrationUsingStraightLines............................226
7.2.1 Errors intheTrapeziumMethod .....................229
7.3 IntegrationUsingQuadratics ..............................230
7.4 IntegrationUsingCubicPolynomials........................235
7.5 IntegratingUsingMATLABCommands.....................237
7.6 SpecificExamplesof Integrals..............................238
7.6.1 Infinite Integrals and Removable Singularities ..........238
7.6.2 IndefiniteIntegrals .................................240
7.7 Tasks ...................................................2428. Solving Differential Equations .............................. 247
8.1 Introduction .............................................247
8.2 Euler’sMethodandCrank–Nicolson ........................247
8.2.1 AnalyticalComparisons .............................253
8.3 BandedMatrices .........................................259
8.4 Runge–KuttaMethods ....................................263
8.5 Higher-OrderSystems.....................................266
8.5.1 Second-OrderSystems ..............................266
8.5.2 Bessel’s equation ...................................270
8.5.3 Airy’sEquation ....................................273
8.5.4 ShootingMethods ..................................274
8.6 Boundary-Value Problems .................................278
8.7 PopulationDynamics .....................................282
8.8 EigenvaluesofDifferentialSystems .........................285
8.9 Tasks ...................................................286
9. Simulations and Random Numbers ......................... 291
9.1 Introduction .............................................291
9.2 Statistical quantities ......................................291
9.2.1 Averages ..........................................291
9.2.2 Other Statistical Measures ...........................293
9.3 RandomNumbersandDistributions ........................295
9.3.1 NormalDistribution ................................298
9.3.2 Calculating Probabilities ............................299
9.3.3 Permutations ......................................300
9.4 MapsandWhiteNoise....................................300
9.4.1 Modelling Discrete Systems ..........................307
9.4.2 PeriodicityandChaos...............................309
9.4.3 RandomMotion....................................316
9.5 Tasks ...................................................319
A. A Mathematical Introduction to Matrices .................. 323
A.1 SpecialMatrices..........................................330
A.2 InversesofMatrices.......................................331
B. Glossary of Useful Terms ................................... 335
B.1 Arithmetic and Logical Operators ..........................335
B.2 Symbols.................................................343
B.3 Plotting Commands ......................................347
B.4 GeneralMATLABCommands .............................365C. Solutions to Tasks .......................................... 389
C.1 Solutions forTasks fromChapter1 .........................389
C.2 Solutions forTasks fromChapter2 .........................394
C.3 Solutions forTasks fromChapter3 .........................400
C.4 Solutions forTasks fromChapter4 .........................408
C.5 Solutions forTasks fromChapter5 .........................414
C.6 Solutions forTasks fromChapter6 .........................418
C.7 Solutions forTasks fromChapter7 .........................429
C.8 Solutions forTasks fromChapter8 .........................436
C.9 Solutions forTasks fromChapter9 .........................454
Index ........................................................... 459






An.Introduction.To.Programming.And.N.ethods.In.Matlab.pdf

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发表于 2009-12-27 23:00:33 | 显示全部楼层
thanks!
发表于 2009-12-28 06:30:21 | 显示全部楼层
好帖就要顶啊!
发表于 2010-1-14 12:36:51 | 显示全部楼层
谢谢,看看
发表于 2010-1-15 12:27:34 | 显示全部楼层
谢谢 楼主   

这个很有用
发表于 2010-1-29 12:56:28 | 显示全部楼层
thank you
发表于 2010-2-7 05:00:26 | 显示全部楼层
thank you
发表于 2010-3-25 10:25:16 | 显示全部楼层
thank you very much!
发表于 2010-5-5 22:55:45 | 显示全部楼层
英文不是很好,但是正在研究这方面的内容,谢谢分享
发表于 2010-5-5 23:58:46 | 显示全部楼层
好东西啊
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