Table of Contents
Table of Contents
“Exercises of Logarithms and Exponentials”
INTRODUCTION
THEORETICAL OUTLINE
EXERCISES
“Exercises of Logarithms and Exponentials”
“Exercises of Logarithms and Exponentials”
SIMONE MALACRIDA
In this book, exercises are carried out regarding the following mathematical topics:
logarithmic functions and properties
exponential functions and properties
logarithmic and exponential equations and inequalities.
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.
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ANALYTICAL INDEX
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INTRODUCTION
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I – THEORETICAL OUTLINE
Exponential functions
Logarithmic functions
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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
INTRODUCTION
INTRODUCTION
In this exercise book, some examples of calculations relating to exponential and logarithmic functions are carried out.
These functions make it possible to complete the study of transcendent functions and form the necessary prerequisite for tackling the conceptual leap of mathematical analysis.
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 during the fourth year of scientific high schools.
In today's society, mathematics is the basis of most scientific and technical disciplines such as physics, chemistry, engineering of all sectors, astronomy, economics, medicine, architecture.
Furthermore, mathematical models govern everyday life, for example in the transport sector, in energy management and distribution, in telephone and television communications, in weather forecasting, in the planning of agricultural production and in waste management, in definition of monetary flows, in the codification of industrial plans and so on, since the practical applications are almost infinite.
Therefore mathematics is one of the fundamental foundations for the formation of a contemporary culture of every single individual and it is clear both from the school programs that introduce, from the earliest years, the teaching of mathematics and from the close relationship between the profitable learning of mathematics and the social and economic development of a society.
This trend is not new, as it is a direct consequence of that revolution which took place at the beginning of the seventeenth century which introduced the scientific method as the main tool for describing Nature and whose starting point was precisely given by the consideration that mathematics could be the keystone to understand what surrounds us.
The great "strength" of mathematics lies in at least three distinct points.
First of all, thanks to it it is possible to describe reality in scientific terms, that is by foreseeing some results even before having the real experience.
Predicting results also means predicting the uncertainties, errors and statistics that necessarily arise when the ideal of theory is brought into the most extreme practice.
Second, mathematics is a language that has unique properties.
It is artificial, as built by human beings.
There are other artificial languages, such as the Morse alphabet; but the great difference of mathematics is that it is an artificial language that describes Nature and its physical, chemical and biological properties.
This makes it superior to any other possible language, as we speak the same language as the Universe
Impressum
Verlag: BookRix GmbH & Co. KG
Tag der Veröffentlichung: 22.04.2023
ISBN: 978-3-7554-3991-2
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