Introduction to Vectorial and Matricial Calculus 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:
vectors and vector calculus
matrices and matrix calculus
Each topic is treated by emphasizing practical applications and solving some significant exercises.

Leseprobe

Table of Contents

“Introduction to Vectorial and Matricial Calculus”

INTRODUCTION

VECTORS AND VECTOR CALCULATION

MATRICES AND MATRIX CALCULATION

“Introduction to Vectorial and Matricial Calculus”

SIMONE MALACRIDA

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

vectors and vector calculus

matrices and matrix calculus

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.

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ANALYTICAL INDEX

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INTRODUCTION

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I – VECTORS AND VECTOR CALCULATION

Definitions

Operations

Applications

Exercises

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II – MATRICES AND MATRIX CALCULATION

Definitions

Operations and properties

Matrix calculation

Applications

Exercises

INTRODUCTION

This manual shows the main properties and operations performed on vectors and matrices.

The peculiar properties of these two formalisms are of fundamental importance for the understanding of many scientific disciplines.

First of all, geometry can be redefined through the concepts of vector and matrix thus obtaining a remarkable extension of all those notions learned in analytical geometry and in the study of plane and solid geometry.

non -linear algebraic systems .

The algebraic abstraction allowed by the introduction of vector and matrix calculus is the initial basis towards understanding advanced algebra and algebraic structures such as fields and spaces.

Last but not least, vectors and matrices find frequent applications in physics.

Almost all physical quantities (mechanical or electromagnetic) are vectors and many theories have a significant matrix foundation.

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.