Introduction to Complex Numbers E-Book

Simone Malacrida

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

Veröffentlichungsjahr: 2022

Beschreibung

The theoretical assumptions of the following mathematical topics are presented in this book:
complex numbers
representation in the Gauss plane
solving algebraic equations of the third degree.
Each topic is treated by emphasizing practical applications and solving some significant exercises.

Leseprobe

Table of Contents

“Introduction to Complex Numbers”

INTRODUCTION

COMPLEX NUMBERS

EQUATIONS WITH COMPLEX NUMBERS

“Introduction to Complex Numbers”

SIMONE MALACRIDA

The theoretical assumptions of the following mathematical topics are presented in this book:

complex numbers

representation in the Gauss plane

solving algebraic equations of the third degree.

Each topic is treated by emphasizing practical applications and solving some significant exercises.

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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 – COMPLEX NUMBERS

Introduction and properties

Operations

Exponential form of complex numbers

Geometric representation of complex numbers

Set of complex numbers

Applications

Exercises

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II – EQUATIONS WITH COMPLEX NUMBERS

Second degree algebraic equations

Third degree algebraic equations

Exercises

INTRODUCTION

This book shows the main properties and operations performed on complex numbers.

The definition of these numbers has led to the overcoming of many barriers in the development of elementary mathematics, from the removal of several conditions of existence to the algebraic resolution of previously unsolvable equations to the enunciation of the fundamental theorem of algebra.

The practical applications of this mathematical formalism are nowadays more and more evident.

There is no technological sector that does not contemplate the use of complex numbers, from their purely mathematical meaning to the geometric one.

Each of the two chapters will be accompanied by some final exercise. This manual is not a workbook and, precisely for this reason, you will not find hundreds of exercises.

The questions proposed were considered significant for understanding the main rules and for their application.

In addition, particular emphasis has been given to the method of solving them since the real leap in quality between the study of a rule and its application is given precisely by the method, i.e. by the quality of the reasoning, and not by the quantity of calculations.

The program presented in this manual expands what is taught in technical institutes and coincides with what is present in the first university mathematics courses.

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