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书名 常微分方程(ORDINARY DIFFERENTIAL EQUATIONS)
分类 科学技术-自然科学-自然科普
作者 刘俊利
出版社 西北工业大学出版社
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简介
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本书是《常微分方程》的英文版。书中系统介绍了常微分方程的初等解法和基本理论。全书共包括六章内容,分别是引言、一阶微分方程、一阶微分方程基本理论、高阶线性微分方程、一阶线性微分方程组、非线性微分方程及其稳定性。本教材在数学处理上准确严密,各章配备大量习题,便于教学和自学。本书可作为高等院校数学系各专业本科生常微分方程课程的教材或参考书,也可供一般的数学工作者、理工科人员及工程技术人员等专业人员参考使用。
目录
Chapter 1 Introduction
1.1 Ordinary Differential Equation Models
1.2 Basic Concepts
Chapter 2 First Order Differential Equations
2.1 Separable Equations
2.2 First Order Linear Equations
2.3 Exact Equations and Integrating Factors
2.4 Implicit First Order Differential Equations
2.5 Applications of First Order Equations
Chapter 3 Fundamental Theory of the First Order Differential Equations
3.1 The Existence and Uniqueness Theorem
3.2Extension of Solutions
3.3Continuous Dependence and Differentiability of Solutions with Respect to Initial Values
Chapter 4 Higher Order Linear Differential Equations
4.1 General Theory of nth Order Linear Differential Equations
4.2 Linear Differential Equations with Constant Coefficients
4.3 Reduction of Order
4.4 The Laplace Transform
Chapter 5 Systems of First Order Linear Differential Equations
5.1 The Concepts of Systems of Ordinary Differential Equations
5.2 Basic Theory of Systems of Linear Equations
……
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