This text is for courses that are typically called (Introductory) Differential Equations, (Introductory) Partial Differential Equations, Applied Mathematics, and Fourier Series. The text is appropriate for two semester courses: the first typically emphasizes ordinary differential equations and their applications while the second emphasizes special techniques (like Laplace transforms) and partial differential equations. The texts follows a traditional curriculum and takes the traditional (rather than dynamical systems) approach. Differential Equations is a text that follows a traditional approach and is appropriate for a first course in ordinary differential equations (including Laplace transforms) and a second course in Fourier series and boundary value problems. Note that some schools might prefer to move the Laplace transform material to the second course, which is why we have placed the chapter on Laplace transforms in its location in the text. Ancillaries like Differential Equations with Mathematica and/or Differential Equations with Maple would be recommended and/or required ancillaries depending on the school, course, or instructor. Provides the foundations to assist students in learning how to read and understand the subject, but also helps students in learning how to read technical material in more advanced texts as they progress through their studies.The exercise sets offer a wide range of easy and difficult problems.Includes new applications and extended projects made relevant to everyday life through the use of examples in a broad range of contexts. INDICE: 1.Introduction to Differential Equations 2.First-Order Equations 3.Applications of First-Order Differential Equations 4.Higher Order Equations 5.Applications of Higher-Order Differential Equations 6.Systems of Differential Equations 7.Applications of Systems of Ordinary Differential Equations 8. Introduction to the Laplace Transform 9. Eigenvalue Problems and Fourier Series 10. Partial Differential Equations ANSWERS TO SELECTED EXERCISES BIBLIOGRAPHY
- ISBN: 978-0-12-417219-7
- Editorial: Academic Press
- Encuadernacion: Cartoné
- Páginas: 816
- Fecha Publicación: 12/08/2014
- Nº Volúmenes: 1
- Idioma: Inglés