Introductions to Set and Functions

By Simone Malacrida

The theoretical assumptions of the following mathematical topics are presented in this book:
mathematical logic
set theory
function theory
literal calculus
properties of powers and radicals
monomial and polynomial calculus
Each topic is covered by emphasizing practical applications and solving some significant exercises.

• Language: English
• Publisher: Simone Malacrida
• Release date: Dec 21, 2022
• ISBN: 9798215829875

Simone Malacrida

Simone Malacrida (1977) Ha lavorato nel settore della ricerca (ottica e nanotecnologie) e, in seguito, in quello industriale-impiantistico, in particolare nel Power, nell'Oil&Gas e nelle infrastrutture. E' interessato a problematiche finanziarie ed energetiche. Ha pubblicato un primo ciclo di 21 libri principali (10 divulgativi e didattici e 11 romanzi) + 91 manuali didattici derivati. Un secondo ciclo, sempre di 21 libri, è in corso di elaborazione e sviluppo.

Book preview

Introductions to Set and Functions

SIMONE MALACRIDA

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

mathematical logic

set theory

function theory

literal calculus

properties of powers and radicals

monomial and polynomial calculus

Each topic is covered 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 – MATHEMATICAL LOGIC

Introduction

Symbology

Principles

Property

Boolean logic

Applications of logic: proof of theorems

Applications of Boolean logic: electronic calculators

Exercises

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II – THEORY OF INS I EMI

Introduction

Operations

Numerical sets

Exercises

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III –WORK OR NOT

Definitions

Property

Applications

Exercises

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IV – CALCULATION OF LETTER L E

Operations

Exercises

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V – POWERS AND RADS

Power operations

Operations on radicals

Conditions of existence

Exercises uncles _

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VI – MONOMIAL AND PO LINOMIAL CALCULATION

Monomial

Polynomials

Notable products

Exercises

INTRODUCTION

This short manual presents the introductory topics for the study of mathematics at the high school level.

Mathematical logic is the basic tool for understanding any subsequent scientific knowledge and, as such, is presented in the first chapter.

Set theory and function theory are cornerstones for the development of concepts such as geometry and analysis.

The literal calculus, declined in properties of powers, of radicals, in monomial and polynomial calculus is the basis of algebra, as well as the necessary prerequisite for the resolution of equations.

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 coincides, broadly, with what was taught in the first year of high school.

I

MATHEMATICAL LOGIC

Introduction

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Mathematical logic deals with the coding, in mathematical terms, of intuitive concepts related to human reasoning.

It is the