一本数学建模的书
作者：Stefan Heinz
出版社：SPRINGER

1 Deterministic Analysis of Observations 1
1.1 Motivation 2
1.2 Data Transformations: Linear Models 3
1.3 Model Development: Polynomial Models 10
1.4 Model Evaluation: Population Modeling 16
1.5 The Advantage of Modeling: Global Warming Modeling 22
1.6 Summary 31
1.7 Exercises 33
2 Stochastic Analysis of Observations 39
2.1 Motivation 40
2.2 Model Errors 41
2.3 Optimal Linear Models 47

2.4 Optimal Quadratic Models 59
2.5 Optimal Power and Exponential Models 63
2.6 Summary 69
2.7 Exercises 70
3 Deterministic States 75
3.1 Motivation 76
3.2 Dimensional Analysis and Similarity 77
3.3 Applications of Low-Complexity 88
3.4 Applications of Medium-Complexity: Time Measurement 95
3.5 Applications of High-Complexity: Lift 101
3.6 Summary 106
3.7 Exercises 109
4 Stochastic States 115
4.1 Motivation 116

5 Deterministic Changes
6 Stochastic Changes
7 Deterministic Evolution
8 Stochastic Evolution
9 Deterministic Multivariate Evolution
10 Stochastic Multivariate Evolution