本书从THOMSON国际出版公司引进，分上、下两册出版。上册内容包括：**部分：常微分方程：一阶微分方程，二阶微分方程，拉普拉斯变换，级数解。第二部分：向量与线性代数：向量与向量空间，矩阵与线性方程系统，行列式，特征值，对角化与特殊矩阵，第三部分：微分方程系统和定性方法：线性微分方程系统，定性方法和非线性微分方程系统。第四部分：向量分析：向量微分，向量积分。本书适用于高等院校理工科本科各专业学生作为教材使用。

PART 1 Ordinary Differential Equations
Chapter 1 First-Order Differential Equations
1.1 Preliminary Concepts
1.2 Separable Equations
1.3 Linear Differential Equations
1.4 Exact Differential Equations
1.5 Integrating Factors
1.6 Homogeneous, Bernoulli, and Riccati Equations
1.7 Applications to Mechanics, Electrical Circuits, and Orthogonal Trajectories 1.8 Existence and Uniqueness for Solutions of Initial Value Problems
Chapter 2 Second-Order Differential Equations
2.1 Preliminary Concepts
2.2 Theory of Solutions y p x y'q x y = f x
2.3 Reduction of Order
2.4 The Constant Coeffident Homogeneous Linear Equation
2.5 Euler''sEquation
2.6 The NonhomogeneousEquation y p x y''q x y = f x
2.7 Application of Second-Order Differential Equations to a Mechanical System Chapter 3 The Laplace Transform
3.1 Definition and Basic Properties
3.2 Solution of Initial Value Problems Using the Laplace Transform
3.3 Shifting Theorems and the Heaviside Function
3.4 Convolution
3.5 Unit Impulses and the Dirac Delta Function
3.6 Laplace Transform Solution of Systems
3.7 Differential Equations with Polynomial Coefficients
Chapter 4 Series Solutions
4.1 Power Series Solutions of Initial Value Problems
4.2 Power Series Solutions Using Recurrence Relations
4.3 Singular Points and the Method of Frobenins
4.4 Second Solutions and Logarithm Factors
4.5 Appendix on Power Series
PART 2 Vectors and Linear Algebra
Chapter 5 Vectors and Vector Spaces
5.1 The Algebra and Geometry of Vectors
5.2 The Dot Product
5.3 The Cross Product
5.4 The Vector Space Rn
5.5 Linear Independence, Spanning Sets, and Dimension in Rn
5.6 Abstract Vector Spaces
Chapter 6 Matrices and Systems of Linear Equations
6.1 Matrices
6.2 Elementary Row Operations and Elementary Matrices
6.3 The Row Echelon Form of a Matrix
6.4 The Row and Column Spaces of a Matrix and Rank of a Matrix
6.5 Solution of Homogeneous Systems of Linear Equations
6.6 The Solution Space Of AX = O
6.7 Nonhomogeneous Systems of Linear Equations
6.8 Summary for Linear Systems
6.9 Matrix Inverses
Chapter 7 Determinants
Chapter 8 Eigenvalues, Diagonalization, and Special Matrices
PART 3 Systems of Differential Equations and Qualitative Methods
PART 4 Vector Analysis
PART 5 Fourier Analysis, Orthogonal Expansions, and Wavelets
PART 6 Partial Differential Equations
PART 7 Complex Analysis
PART 8 Historical Notes
Index I1

本书为影印版。