Elementary differential equations and boundary value problems

Numéro d'article 10215944

A strength of this book is its appropriateness in a wide variety of instructional settings. In particular, it allows instructors flexibility in the selection of and the ordering of topics and in the use of technology. The essential core material is Chapter 1, Sections 2.1 through 2.5, and Sections 3.1 through 3.5. After completing these sections, the selection of additional topics, and the order and depth of coverage are generally at the discretion of the instructor. Chapters 4 through 11 are essentially independent of each other, except that Chapter 7 should precede Chapter 9, and Chapter 10 should precede Chapter 11"-- Preface -- 1. Introduction -- 2. First-order differential equations -- 3. Second-order linear differential equations -- 4. Higher-order linear differential equations -- 5. Series solutions of second-order linear equations -- 6. The Laplace transform -- 7. Systems of first-order linear equations -- 8. Numerical methods -- 9. Nonlinear differential equations and stability -- 10. Partial differential equations and Fourier series -- 11. Boundary value problems and Sturm-Liouville theory -- Answers to problems.

Twelfth edition. Wiley loose-leaf print edition. Includes bibliographical references and index.