书目名称 | Linear Difference Equations with Discrete Transform Methods |
编辑 | Abdul J. Jerri |
视频video | |
丛书名称 | Mathematics and Its Applications |
图书封面 |  |
描述 | This book covers the basic elements of difference equations and the tools of difference and sum calculus necessary for studying and solv ing, primarily, ordinary linear difference equations. Examples from various fields are presented clearly in the first chapter, then discussed along with their detailed solutions in Chapters 2-7. The book is in tended mainly as a text for the beginning undergraduate course in difference equations, where the "operational sum calculus" of the di rect use of the discrete Fourier transforms for solving boundary value problems associated with difference equations represents an added new feature compared to other existing books on the subject at this introductory level. This means that in addition to the familiar meth ods of solving difference equations that are covered in Chapter 3, this book emphasizes the use of discrete transforms. It is an attempt to introduce the methods and mechanics of discrete transforms for solv ing ordinary difference equations. The treatment closely parallels what many students have already learned about using the opera tional (integral) calculus of Laplace and Fourier transforms to solve differential equations. As in t |
出版日期 | Book 1996 |
关键词 | Boundary value problem; Fourier transform; calculus; difference equation; discrete Fourier transform; mod |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4757-5657-9 |
isbn_softcover | 978-1-4419-4755-0 |
isbn_ebook | 978-1-4757-5657-9 |
copyright | Springer Science+Business Media Dordrecht 1996 |