Chinese Zhang mathematics original Collection: Mathematical modeling and analysis (English 4th Edition)

by Frederick S. Hillier

从基因工程到飓风预测，数学模型为我们社会中的许多决策支持指明了方向。如果作为建模基础的假设和方法是有缺陷的，结果可能极其糟糕。《数学建模方法与分析（英文版）（第4版）》对数学建模这一主题给出了严谨的论述，提出了一种通用的数学建模方法五步方法（提出问题、选择建模方法、推导模型的数学表达式、求解模型、回答问题），帮助读者迅速掌握数学建模的真谛。作者以引人入胜的方式描述了数学模型的3个主要领域：最优化、动力系统和随机过程，引导读者以实用的方法解决各式各样的现实问题。第4版增加了关子粒子跟踪和异常扩散（包括分数阶微积分）的新节。prefaceioptimizationmodels1onevariableoptimization1.1thefive-stepmethod1.2sensitivityanalysis1.3sensitivityandrobustness1.4exercises2multivariableoptimization2.1unconstrainedoptimization2.2lagrangemultipliers2.3sensitivityanalysisandshadowprices2.4exercises3computationalmethodsforoptimization3.1onevariableoptimization3.2multivariableoptimization3.3linearprogramming3.4discreteoptimization3.5exercisesiidynamicmodels4introductiontodynamicmodels4.1steadystateanalysis4.2dynamicalsystems4.3discretetimedynamicalsystems4.4exercises5analysisofdynamicmodels5.1eigenvaluemethods5.2eigenvaluemethodsfordiscretesystems5.3phaseportraits5.4exercises6simulationofdynamicmodels6.1introductiontosimulation6.2continuous-timemodels6.3theeulermethod6.4chaosandfractals6.5exercisesiiiprobability‘models.7introductiontoprobabiutymodels7.1discreteprobabilitymodels7.2continuousprobabilitymodels7.3introductiontostatistics7.4diffusion7.5exercises8stochasticmodels8.1markovchains8.2markovprocesses8.3linearregression8.4timeseries8.5exercises9simulationofprobabilitymodels9.1montecarlosimul

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Published December 1, 2013