Exercises of Transforms E-Book

Simone Malacrida

• Herausgeber: Simone Malacrida
• Kategorie: Wissenschaft und neue Technologien
• Sprache: Englisch

Veröffentlichungsjahr: 2022

Beschreibung

In this book, exercises are carried out regarding the following mathematical topics:
Fourier transform
Laplace transform
zeta transform and discrete transforms
Initial theoretical hints are also presented to make the performance of the exercises understood.

Leseprobe

Table of Contents

“Exercises of Transforms”

INTRODUCTION

THEORETICAL OUTLINE

EXERCISES

“Exercises of Transforms”

SIMONE MALACRIDA

In this book, exercises are carried out regarding the following mathematical topics:

Fourier transform

Laplace transform

zeta transform and discrete transforms

Initial theoretical hints are also presented to make the performance of the exercises understood.

Simone Malacrida (1977)

Engineer and writer, has worked on research, finance, energy policy and industrial plants.

ANALYTICAL INDEX

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INTRODUCTION

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I – THEORETICAL OUTLINE

Introduction and definitions

Fourier integral transform

Laplace integral transform

Other integral transforms

Discreet transforms

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II – EXERCISES

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Exercise 9

Exercise 10

Exercise 11

Exercise 12

Exercise 13

Exercise 14

Exercise 15

Exercise 16

Exercise 17

Exercise 18

Exercise 19

Exercise 20

Exercise 21

Exercise 22

Exercise 23

Exercise 24

Exercise 25

Exercise 26

Exercise 27

Exercise 28

Exercise 29

Exercise 30

Exercise 31

Exercise 32

Exercise 33

Exercise 34

Exercise 35

Exercise 36

Exercise 37

Exercise 38

Exercise 39

INTRODUCTION

In this exercise book some examples of calculations relating to the transforms are carried out.

Furthermore, the main theorems used in functional analysis of transforms and their practical use in order to solve problems are presented.

Transforms are a powerful mathematical means for solving a variety of mathematical topics such as differential equations and some notable integrals.

In addition, transforms are absolutely fundamental in the fields of telecommunications, electronics, information technology and mechanics.

In order to understand in more detail what is presented in the resolution of the exercises, the theoretical reference context is recalled in the first chapter.

What is presented in this workbook is generally addressed in advanced mathematical analysis courses (analysis 3) or as a preparatory practice for specific university courses.

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