| 书目名称 | Introduction to the Laplace Transform | | 编辑 | Peter K. F. Kuhfittig | | 视频video | | | 丛书名称 | Mathematical Concepts and Methods in Science and Engineering | | 图书封面 |  | | 描述 | The purpose of this book is to give an introduction to the Laplace transform on the undergraduate level. The material is drawn from notes for a course taught by the author at the Milwaukee School of Engineering. Based on classroom experience, an attempt has been made to (1) keep the proofs short, (2) introduce applications as soon as possible, (3) concentrate on problems that are difficult to handle by the older classical methods, and (4) emphasize periodic phenomena. To make it possible to offer the course early in the curriculum (after differential equations), no knowledge of complex variable theory is assumed. However, since a thorough study of Laplace. transforms requires at least the rudiments of this theory, Chapter 3 includes a brief sketch of complex variables, with many of the details presented in Appendix A. This plan permits an introduction of the complex inversion formula, followed by additional applications. The author has found that a course taught three hours a week for a quarter can be based on the material in Chapters 1, 2, and 5 and the first three sections of Chapter 7. If additional time is available (e.g., four quarter-hours or three semester-hours), the whole | | 出版日期 | Book 1978 | | 关键词 | Finite; differential equation; equation; proof; variable | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4899-2201-4 | | isbn_softcover | 978-1-4899-2203-8 | | isbn_ebook | 978-1-4899-2201-4 | | copyright | Springer Science+Business Media New York 1978 |
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发表于 2025-3-21 19:56:26
