章节目录
PrefaceⅠ OPTIMIZATION MODELS1 ONE VARIABLE OPTIMIZATION 1.1 The Five-Step Method 1.2 Sensitivity Analysis 1.3 Sensitivity and Robustness 1.4 Exercises2 MULTIVARIABLE OPTIMIZATION 2.1 Unconstrained Optimization 2.2 Lagrange Multipliers 2.3 Sensitivity Analysis and Shadow Prices 2.4 Exercises3 COMPUTATIONAL METHODS FOR OPTIMIZATION 3.1 One Variable Optimization 3.2 Multivariable Optimization 3.3 Linear Programming 3.4 Discrete Optimization 3.5 ExercisesⅡ DYNAMIC MODELS4 INTRODUCTION TO DYNAMIC MODELS 4.1 Steady State Analysis 4.2 Dynamical Systems 4.3 Discrete Time Dynamical Systems 4.4 Exercises5 ANALYSIS OF DYNAMIC MODELS 5.1 Eigenvalue Methods 5.2 Eigenvalue Methods for Discrete Systems 5.3 Phase Portraits 5.4 Exercises6 SIMULATION OF DYNAMIC MODELS 6.1 Introduction to Simulation 6.2 Continuous-Time Models 6.3 The Euler Method 6.4 Chaos and Fractals 6.5 ExercisesⅢ PROBABILITY MODELS7 INTRODUCTION TO PROBABILITY MODELS 7.1 Discrete Probability Models 7.2 Continuous Probability Models 7.3 Introduction to Statistics 7.4 Diffusion 7.5 Exercises8 STOCHASTIC MODELS 8.1 Markov Chains 8.2 Markov Processes 8.3 Linear Regression 8.4 Time Series 8.5 Exercises9 SIMULATION OF PROBABILITY MODELS 9.1 Monte Carlo Simulation 9.2 The Markov Property 9.3 Analytic Simulation 9.4 ExercisesAfterwordIndex
内容简介
《数学建模方法与分析(英文版·第3版)》提出了一种通用的数学建模方法——五步方法，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。《数学建模方法与分析(英文版·第3版)》以实用的方法解决各式各样的现实问题，包括空间飞船的对接、传染病的增长率和野生生物的管理等。此外，《数学建模方法与分析(英文版·第3版)》根据需要详细介绍了解决问题所需要的数学知识。
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