Written from the perspective of the applied mathematician, the latest edition of this bestselling book focuses on the theory and practical applications of Differential Equations to engineering and the sciences. Emphasis is placed on the methods of solution, analysis, and approximation. Use of technology, illustrations, and problem sets help readers develop an intuitive understanding of the material. Historical footnotes trace the development of the discipline and identify outstanding individual contributions. This book builds the foundation for anyone who needs to learn differential equations and then progress to more advanced studies.

Chapter 1 Introduction
Chapter 2 First Order Differential Equations
Chapter 3 Second Order Linear Equations
Chapter 4 Higher Order Linear Equations
Chapter 5 Series Solutions of Second Order Linear Equations
Chapter 6 The Laplace Transform
Chapter 7 Systems of First Order Linear Equations
Chapter 8 Numerical Methods
Chapter 9 Nonlinear Differential Equations and Stability
Chapter10 Partial Differential Equations and Fourier Series
Chapter 11 Boundary Value Problems and Sturm-Liouville Theory