This book takes an informal approach and focuses on a few main concepts (modeling with DEs, special first order ODEs, linear DEs with constant coefficients, qualitative analysis of DEs, the theory of linear DEs, Laplace transforms, an introduction to PDEs, and series solutions of DEs) as opposed to covering every possible aspect of differential equations. A modular design is provided for easy access to certain topics, and every module begins by clearly stating the prerequisites and learning objectives. Graphical and pedagogical elements are abundant throughout, including highlighted notes that effectively remind readers about previously developed facts and boxed comments that guide readers through computations. Much of the classical content of a typical differential equations course is highly computational, and the necessary algorithms can be implemented in a computer algebra system (CAS), i.e. Mathematica, Maple, R, MathCAD, MuPAD, etc. This book is not specific to one CAS, and, whenever possible,the author includes programming projects with detailed specifications that require the reader to manually write CAS code to solve certain problems. In thisfashion, readers gain a deeper connection to the material as well as learn a program that can be used to double check homework problems. This book is fast-moving without being terse, and it invites readers to become involved while promising to reward them with reading and learning skills that will serve them well in later technical courses. Applications are detailed, accurate, and appropriately woven throughout the text.
- ISBN: 978-0-470-44751-2
- Editorial: John Wiley & Sons
- Encuadernacion: Rústica
- Páginas: 340
- Fecha Publicación: 07/12/2009
- Nº Volúmenes: 1
- Idioma: Inglés