出版时间:2005-1 出版社:机械工业出版社 作者:斯沃博德尼 页数:534
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内容概要
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。
书籍目录
出版说明序Preface1 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 Reading2 Stability and Bifurcation 1 Potentials 2 Bifurcation 3 Catastrophe 4 Problems and Recommended Reading3 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 Reading4 Growth and Relaxation5 Vibrations6 Random Thinking7 Random Processes8 Complex Systems9 Snakes and Chains10 Waves11 DiffusionA ElectromagnetismB The SI System of UnitsC Some Physical Properties of MaterialsBibliographyIndex教辅材料申请表
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