| 书目名称 | Ordinary Differential Equations |
| 编辑 | William A. Adkins,Mark G. Davidson |
| 视频video | |
| 概述 | Contains numerous helpful examples and exercises that provide motivation for the reader.Presents the Laplace transform early in the text and uses it to motivate and develop solution methods for differ |
| 丛书名称 | Undergraduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | .Unlike most texts in differential equations, this textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equation concepts for which it is particularly well suited. For example, the standard solution methods for constant coefficient linear differential equations are immediate and simplified, and solution methods for constant coefficient systems are streamlined. By introducing the Laplace transform early in the text, students become proficient in its use while at the same time learning the standard topics in differential equations. The text also includes proofs of several important theorems that are not usually given in introductory texts. These include a proof of the injectivity of the Laplace transform and a proof of the existence and uniqueness theorem for linear constant coefficient differential equations..Along with its unique traits, this text contains all the topics needed for a standard three- or four-hour, sophomore-level differential equations course for students majoring in science or engineering. These topics include: first order differential equations, general linear differential equa |
| 出版日期 | Textbook 2012 |
| 关键词 | Laplace transform; discontinuous functions; existence theorem; first order differential equations; gener |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4614-3618-8 |
| isbn_softcover | 978-1-4899-8767-9 |
| isbn_ebook | 978-1-4614-3618-8Series ISSN 0172-6056 Series E-ISSN 2197-5604 |
| issn_series | 0172-6056 |
| copyright | Springer Science+Business Media, LLC, part of Springer Nature 2012 |
发表于 2025-3-21 18:57:44
