Elementary Differential Equations and Boundary Value Problems

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 IntroductionChapter 2 First Order Differential EquationsChapter 3 Second Order Linear EquationsChapter 4 Higher Order Linear EquationsChapter 5 Series Solutions of Second Order Linear EquationsChapter 6 The Laplace TransformChapter 7 Systems of First Order Linear EquationsChapter 8 Numerical MethodsChapter 9 Nonlinear Differential Equations and StabilityChapter10 Partial Differential Equations and Fourier SeriesChapter 11 Boundary Value Problems and Sturm-Liouville Theory