內容簡介
《數學模型(英文版)》內容包括建模探索、穩定性和分岔、量綱、增長和鬆馳、振動、隨機的思想、隨機過程、復雜係統、快餐與連鎖類問題、波動、擴散等。
《數學模型(英文版)》的起點較低,隻需要微積分,一些微分方程和矩陣代數知識就能閱讀。
與其他大量的數學模型教材相比,本書所涉及的數學內容廣而深,所涉及的實際問題寬而難,模型與實際問題結閤十分緊密,能體現數學模型教材的發展趨勢。
目錄
齣版說明
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
教輔材料申請錶
前言/序言
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