The Sixth Edition of this acclaimed differential equations book remains the same classic volume it's always been, but has been polished and sharpened to serve readers even more effectively. Offers?precise and clear-cut statements of fundamental existence and uniqueness theorems to allow understanding of their role in this subject. Features a strong numerical approach that emphasizes that the effective and reliable use of numerical methods often requires preliminary analysis using standard elementary techniques. Inserts new graphics and text where needed for improved accessibility. A useful reference for readers who need to brush up on differential equations.

1 First-Order Differential Equations
2 Mathematical Models and Numerical Methods
3 Linear Equations of Higher Order
4 Introduction to Systems of Differential Equations
5 Linear Systems of Differential Equations
6 Nonlinear Systems and Phenomena
7 Laplace Transform Methods
8 Power Series Methods
9 Fourier Series Methods
10 Eigenvalues and Boundary Value Problems
 

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