
Introduction to the Laplace Transform
Peter K.F. Kuhfittig(Author)
Kluwer Academic/Plenum Publishers
Published on 1. April 1978
Book
Hardback
X, 206 pages
978-0-306-31060-7 (ISBN)
Description
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.
More details
Series
Edition
1978 ed.
Language
English
Place of publication
New York
United States
Publishing group
Springer Science+Business Media
Target group
Professional and scholarly
Research
Illustrations
X, 206 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 17 mm
Weight
500 gr
ISBN-13
978-0-306-31060-7 (9780306310607)
DOI
10.1007/978-1-4899-2201-4
Schweitzer Classification
Other editions
Additional editions

Peter K.F. Kuhfittig
Introduction to the Laplace Transform
Book
06/2013
Springer
€53.49
Shipment within 15-20 days
Content
1. Basic Properties and Applications.- 2. Further Properties and Applications.- 3. Sketch of Complex Variable Theory.- 4. The Complex Inversion Formula.- 5. Convolutions.- 6. Transforms with Infinitely Many Singularities.- 7. Applications to Partial Differential Equations.- Appendix A. More on Complex Variable Theory.- Appendix B. Table of Laplace Transforms.- Answers to Exercises.