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数学模型 版权信息
- ISBN:7111158628
- 条形码:9787111158622 ; 978-7-111-15862-2
- 装帧:简裝本
- 册数:暂无
- 重量:暂无
- 所属分类:>>
数学模型 内容简介
本书内容包括建模探索、稳定性和分岔、量纲、增长和松驰、振动、随机的思想、随机过程、复杂系统、快餐与连锁类问题、波动、扩散等。
本书的起点较低,只需要微积分,一些微分方程和矩阵代数知识就能阅读。
与其他大量的数学模型教材相比,本书所涉及的数学内容广而深,所涉及的实际问题宽而难,模型与实际问题结合十分紧密,能体现数学模型教材的发展趋势。
数学模型 目录
出版说明
序
Preface
1 The Modeling Adventure
1 What Is Modeling?
2 Multiple Models:Shopping Around
3 An Example of the Modeling Process
Free Radical Formation by Ultrasound
4 Approximations
5 Curve Fitting and Parameter Estimation
6 The O(·)and o(·)notation
7 Fourier Transform
8 Problems and Recommended Reading
2 Stability and Bifurcation
1 Potentials
2 Bifurcation
3 Catastrophe
4 Problems and Recommended Reading
3 Dimensions
1 Dimensions
*Dimensions in Electricity and Magnetism
2 Scaling and Life
3 Dimensional Analysis and the Pi Procedure
*The Pi Theorem
Limitations and Extensions
4 Scale Modeling
5 Problems and Recommended Reading
4 Growth and Relaxation
5 Vibrations
6 Random Thinking
7 Random Processes
8 Complex Systems
9 Snakes and Chains
10 Waves
11 Diffusion
A Electromagnetism
B The SI System of Units
C Some Physical Properties of Materials
Bibliography
Index
教辅材料申请表
序
Preface
1 The Modeling Adventure
1 What Is Modeling?
2 Multiple Models:Shopping Around
3 An Example of the Modeling Process
Free Radical Formation by Ultrasound
4 Approximations
5 Curve Fitting and Parameter Estimation
6 The O(·)and o(·)notation
7 Fourier Transform
8 Problems and Recommended Reading
2 Stability and Bifurcation
1 Potentials
2 Bifurcation
3 Catastrophe
4 Problems and Recommended Reading
3 Dimensions
1 Dimensions
*Dimensions in Electricity and Magnetism
2 Scaling and Life
3 Dimensional Analysis and the Pi Procedure
*The Pi Theorem
Limitations and Extensions
4 Scale Modeling
5 Problems and Recommended Reading
4 Growth and Relaxation
5 Vibrations
6 Random Thinking
7 Random Processes
8 Complex Systems
9 Snakes and Chains
10 Waves
11 Diffusion
A Electromagnetism
B The SI System of Units
C Some Physical Properties of Materials
Bibliography
Index
教辅材料申请表
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