The Book's Purpose and Importance
Foundational mathematics with R applications was designed to
bridge the gap between traditional mathematics and the desire for a
mathematical work that combines mathematical concepts with software
applications. This is how things are done nowadays. Solving mathematical
problems with calculators, and occasionally manually, is uninteresting and
time-consuming in today's fast-growing digital and information technology
world, especially in the big data era. Today's data has a wide range of
features, necessitating the development of computer programming skills in order
to solve mathematical issues using such data. Apart from saving time, it aids
in the completion of various chores at a faster rate, allowing for growth in
other aspects of life. Furthermore, employing software tools to solve complex
integral functions, for example, provides for more accurate answers than would
be possible with alternative approximation methods. Another benefit of using
software applications to solve mathematical problems is the ability to graph.
Computer software applications offer advanced graphical manipulations and
features, such as multiple graphing, which improves visualisation and
interpretation.
To this purpose, the book aims to pique the interest of
early tertiary students who will be required to take math courses as part of
their curriculum. Such pupils are frequently not mainstream mathematics
students, and hence have a low level of interest in the subject. It would
normally be interesting to have a book that introduces students to computer
applications of mathematical topics. By doing so, the expressed fear of
mathematics would be alleviated, hence reducing the likelihood of failing in
the subject.
One noteworthy contribution of this book will be the
anticipated attention it will elicit, as well as the implications this will
have on mathematics education. It is clear that the publication of this book
will add a new dimension to the teaching of mathematics in most tertiary
institutions, with a strong emphasis on the use of computer software to apply
principles learned in class. In some tertiary jurisdictions, this dimension did
not exist previously. In a nutshell, it is believed that foundational
mathematics combined with R software applications will considerably benefit
tertiary students by piqueing their interest in mathematical practises.
This Book's Highlights
Set theory, number systems and inequalities, functions and
algebra, and exponential and logarithmic functions are all covered in the
book's seven chapters. Differential and integral calculus, as well as
differential equations, make up the rest. The general objectives are listed at
the start of each chapter. These are clever chapter objectives that will help
readers analyse what they've learned after reading the chapter. There are 127
worked examples and 54 trials in total, with the answers provided.Immediately
beneath the questions is a list of resources. Aside from R applications to
problems, solutions to examples are structured in a methodical manner so that
the average student may follow along without assistance.
R Computer Software Environment Overview
R is a programming language that allows a person to interact
with a computer by issuing instructions and getting responses. It's a
programming language invented by Ross Ihaka and Robert Gentleman in New Zealand
in 1991. It has a lot of power when it comes to statistical computation and
visuals. In the year 2000, the first version of R, 1.0.0, was released. R can
be downloaded through the Comprehensive R Archive Network (CRAN) web site,
http://cran.r-project.org/, which is run by the R Development Core Team.
Apart
from the fact that R is free (which isn't totally true, because full knowledge
of R requires internet connection), its main advantage is that it is a
programming language. This means that before effectively executing a command,
the individual should have a thorough grasp of what to do and what to expect.
After the prompt (>), type codes or commands. It's worth noting that some R
functions are required to complete specific jobs, but they're not included in
the normal R installation. They're referred to as "packages." The
CRAN website also has packages accessible. Because R is case sensitive, use the
comment operator # to add comments to command lines and the navigation keys
(,,) to browse through written commands lines. When it comes to learning R,
constant practise is necessary.
Author(s) Details
John Coker Ayimah
Ho Technical University (HTU), Ghana.
Elikem Kofi Krampa
Ho Technical University (HTU), Ghana
Saviour Worlanyo Akuamoah
Ho Technical University (HTU), Ghana.
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