Introduction to the Laplace Transform:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
1978
|
| Schriftenreihe: | Mathematical Concepts and Methods in Science and Engineering
8 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 book can be covered easily. The author is indebted to the students at the Milwaukee School of Engineering for their many helpful comments and criticisms |
| Beschreibung: | 1 Online-Ressource (X, 206 p) |
| ISBN: | 9781489922014 9781489922038 |
| DOI: | 10.1007/978-1-4899-2201-4 |
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Datensatz im Suchindex
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| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9781489922014 9781489922038 |
| language | English |
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| spelling | Kuhfittig, Peter K. F. Verfasser aut Introduction to the Laplace Transform by Peter K. F. Kuhfittig Boston, MA Springer US 1978 1 Online-Ressource (X, 206 p) txt rdacontent c rdamedia cr rdacarrier Mathematical Concepts and Methods in Science and Engineering 8 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 book can be covered easily. The author is indebted to the students at the Milwaukee School of Engineering for their many helpful comments and criticisms Mathematics Global analysis (Mathematics) Analysis Mathematik Laplace-Transformation (DE-588)4034577-4 gnd rswk-swf Laplace-Transformation (DE-588)4034577-4 s 1\p DE-604 https://doi.org/10.1007/978-1-4899-2201-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kuhfittig, Peter K. F. Introduction to the Laplace Transform Mathematics Global analysis (Mathematics) Analysis Mathematik Laplace-Transformation (DE-588)4034577-4 gnd |
| subject_GND | (DE-588)4034577-4 |
| title | Introduction to the Laplace Transform |
| title_auth | Introduction to the Laplace Transform |
| title_exact_search | Introduction to the Laplace Transform |
| title_full | Introduction to the Laplace Transform by Peter K. F. Kuhfittig |
| title_fullStr | Introduction to the Laplace Transform by Peter K. F. Kuhfittig |
| title_full_unstemmed | Introduction to the Laplace Transform by Peter K. F. Kuhfittig |
| title_short | Introduction to the Laplace Transform |
| title_sort | introduction to the laplace transform |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Laplace-Transformation (DE-588)4034577-4 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Laplace-Transformation |
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