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Consortium for Mathematics and its Applications

Product ID: 99325
Supplementary Print
Undergraduate

An Inversion Method for Laplace Transforms, Fourier Transforms, and Fourier Series (UMAP)

Author: C.A. Grimm


This unit uses the inversion method to find a function f(t) when given the Laplace transform, the Fourier transform, the coefficient transform, and the Fourier series.

Table of Contents:

1. INTRODUCTION

2. INVERSE LAPLACE TRANSFORMS

3. INVERSE FOURIER TRANSFORMS

4. INVERSE COEFFICIENT TRANSFORMS

5. MODEL EXAM

6. ANSWERS TO EXERCISES

7. ANSWERS TO MODEL EXAM

©1983 by COMAP, Inc.
UMAP Module
26 pages

Mathematics Topics:

Abstract & Linear Algebra

Application Areas:

Prerequisites:

Differentiate/integrate elementary functions; sketch graphs of functions; Euler's formula; integral transforms; orthogonal, odd and even, piecewise continuous functions; basic theorems on uniformly convergent series of functions

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