Exercises of Complex Analysis 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: monodromy and polychromy in complex analysis complex integrals and series remarkable theorems of complex analysis Initial theoretical hints are also presented to make the performance of the exercises understood.

Leseprobe

Simone Malacrida

Exercises of Complex Analysis

BookRix GmbH & Co. KG81371 Munich

Table of Contents

Table of Contents

“Exercises of Complex Analysis”

INTRODUCTION

THEORETICAL OUTLINE

EXERCISES

“Exercises of Complex Analysis”

“Exercises of Complex Analysis”

SIMONE MALACRIDA

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

monodromy and polychromy in complex analysis

complex integrals and series

remarkable theorems of complex analysis

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

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

Property

Monodromy and polydromy

Complex integration

Euler functions

Complex series

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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

Exercise 17

Exercise 18

Exercise 19

Exercise 20

Exercise 21

Exercise 22

Exercise 23

Exercise 24

Exercise 25

Exercise 26

Exercise 27

Exercise 28

Exercise 29

Exercise 30

Exercise 31

Exercise 32

Exercise 33

Exercise 34

Exercise 35

INTRODUCTION

INTRODUCTION

In this workbook, some examples of calculations related to complex analysis are carried out.

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

Complex analysis, extending what has already been learned in the set of real numbers, constitutes a cornerstone in the natural setting of the complex field.

The peculiarities of this analysis make it so specific as to require a reflection in its own right with respect to the other fields 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 exposed in this workbook is generally addressed in advanced mathematical analysis courses (analysis 3).

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