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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