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这本苏联/俄罗斯数学家阿诺德所著的常微分方程讲义独具特色。书中强调常微分方程的定性性质和几何性质及其它们的解，全书有272个几何插图，却没有一个复杂的数学公式。全书分为5章36节。本书是阿诺德的名著，他的许多优秀作品都被翻译为英文，本书是其中的一本，其简明的写作风格、严谨的数学基础结合物理直觉，给人一种很轻松漫谈式的教学特点，被誉为很优秀的常微分教材。
目录
Chapter 1.Basic Concepts
1.Phase Spaces
1.Examples of Evolutionary Processes
2.Phase Spaces
3.The Integral Curves of a Direction Field
4.A Differential Equation and its Solutions
5.The Evolutionary Equation with a One-dimensional Phase Space
6.Example:The Equation of Normal Reproduction
7.Example:The Explosion Equation
8.Example:The Logistic Curve
9.Example:Harvest Quotas
10.Example:Harvesting with a Relative Quota
11.Equations with a Multidimensional Phase Space
12.Example:The Differential Equation of a Predator-Prey System
13.Example:A Free Particle on a Line
14.Example:Free Fall
……
1.Phase Spaces
1.Examples of Evolutionary Processes
2.Phase Spaces
3.The Integral Curves of a Direction Field
4.A Differential Equation and its Solutions
5.The Evolutionary Equation with a One-dimensional Phase Space
6.Example:The Equation of Normal Reproduction
7.Example:The Explosion Equation
8.Example:The Logistic Curve
9.Example:Harvest Quotas
10.Example:Harvesting with a Relative Quota
11.Equations with a Multidimensional Phase Space
12.Example:The Differential Equation of a Predator-Prey System
13.Example:A Free Particle on a Line
14.Example:Free Fall
……