Introduction to Logarithms and Exponentials - Simone Malacrida - E-Book

Introduction to Logarithms and Exponentials E-Book

Simone Malacrida

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Beschreibung

The theoretical assumptions of the following mathematical topics are presented in this book:
logarithmic functions
exponential functions
hyperbolic functions
Each topic is treated by emphasizing practical applications and solving some significant exercises.

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Veröffentlichungsjahr: 2022

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Table of Contents

“Introduction to Logarithms and Exponentials”

INTRODUCTION

EXPONENTIAL FUNCTIONS

LOGARITHMIC FUNCTIONS

HYPERBOLIC FUNCTIONS

“Introduction to Logarithms and Exponentials”

SIMONE MALACRIDA

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

logarithmic functions

exponential functions

hyperbolic functions

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

Simone Malacrida (1977)

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

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ANALYTICAL INDEX

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INTRODUCTION

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I – EXPONENTIAL FUNCTIONS

Definition and properties

Equations and inequalities

Applications

Exercises

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II – LOGARITHMIC FUNCTIONS

Definition and properties

Equations and inequalities

Applications

Exercises

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III – HYPERBOLIC FUNCTIONS

Definition and properties

Applications

Exercises

INTRODUCTION

In this handbook, the main transcendental functions not related to goniometry are considered.

It deals with everything concerning the exponential, logarithmic and hyperbolic functions and their related properties.

The importance of such topics, in the proscenium of elementary mathematics, is of indisputable value.

For centuries, the logarithmic calculation has been a challenge for the finest mathematical minds, as they understood the enormous advantage of this approach in the multiplication of ever larger numbers.

Each chapter 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 far exceeds what is taught in high school (generally in the fourth year of scientific high schools) due to the presence of hyperbolic functions, usually neglected.

I