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Introduction to the Laplace Transform

Name: Introduction to the Laplace Transform
Brand: Springer-Verlag New York Inc.
SKU: 02254837
Price: 54.28 EUR
Availability: InStock
Author: Peter K.F. Kuhfittig
ISBN: 9781489922038

Peter K.F. Kuhfittig

Език

Английски език

Книга С меки корици

Код Либристо: 02254837

Издателство Springer-Verlag New York Inc., юни 2013

The purpose of this book is to give an introduction to the Laplace transform on the undergraduate le... Цялото описание

Код Либристо: 02254837

132 b

54.28 €

106.17 лв

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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.