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Introduction to the Laplace Transform

  • Peter K. F. Kuhfittig

Part of the Mathematical Concepts and Methods in Science and Engineering book series (MCSENG, volume 8)

Table of contents

  1. Front Matter
    Pages i-x
  2. Peter K. F. Kuhfittig
    Pages 1-42
  3. Peter K. F. Kuhfittig
    Pages 43-92
  4. Peter K. F. Kuhfittig
    Pages 93-103
  5. Peter K. F. Kuhfittig
    Pages 105-110
  6. Peter K. F. Kuhfittig
    Pages 111-127
  7. Peter K. F. Kuhfittig
    Pages 129-143
  8. Peter K. F. Kuhfittig
    Pages 145-168
  9. Back Matter
    Pages 169-205

About this book

Introduction

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.

Keywords

Finite differential equation equation proof variable

Authors and affiliations

  • Peter K. F. Kuhfittig
    • 1
  1. 1.Milwaukee School of EngineeringMilwaukeeUSA

Bibliographic information