Exercises of Multi-Variable Functions E-Book

Simone Malacrida

• Herausgeber: BookRix
• Kategorie: Wissenschaft und neue Technologien
• Sprache: Englisch

Veröffentlichungsjahr: 2023

Beschreibung

In this book, exercises are carried out regarding the following mathematical topics: real functions with several variables search for constrained maxima and minima remarkable theorems Initial theoretical hints are also presented to make the performance of the exercises understandable.

Leseprobe

Simone Malacrida

Exercises of Multi-Variable Functions

BookRix GmbH & Co. KG81371 Munich

Table of Contents

Table of Contents

“Exercises of Multi-Variable Functions”

INTRODUCTION

THEORETICAL OUTLINE

EXERCISES

“Exercises of Multi-Variable Functions”

“Exercises of Multi-Variable Functions”

SIMONE MALACRIDA

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

real functions with several variables

search for constrained maxima and minima

remarkable theorems

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

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

Operations

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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

INTRODUCTION

INTRODUCTION

In this workbook, some examples of calculations relating to real functions with several variables are carried out.

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

Multi-variable real functions not only represent a generalization of single-variable real functions, but coincide with a fundamental mathematical support for solving various physical and applicative problems.

The introduction of concepts such as differentiability and operations relating to the algebra of nabla, as well as the contribution to the solution of constraint reactions, make this chapter of the analysis one of the most fruitful within the panorama of mathematics.

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 2).

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