 Название: A Journey into the World of Exponential Functions
Автор: Gautam Bandyopadhyay
Издательство: CRC Press/Levant Books
Год: 2023
Страниц: 165
Язык: английский
Формат: pdf (true)
Размер: 10.2 MB
The number e, the function ex, the logarithmic function in (x) and different hyperbolic functions like cosh (x), sinh (x) make frequent appearances in science and engineering textbooks. Students often fail to appreciate the significance of these mathematical symbols.
This book clearly illustrates why such abstract mathematical entities are needed to represent some aspects of physical reality. It provides an overview of different types of numbers and functions along with their historical background and applications. It contains four chapters covering number system, exponential function, logarithmic functions and hyperbolic functions along with the concept of complex angle.
This book is primarily meant for engineering students and others who need to apply mathematics for solving practical problems. This is not a conventional mathematics book which emphasizes on mathematical rigour while dealing with different mathematical topics.
Apart from routine calculations, a large section of educated people prefer to distance themselves from mathematics. The particular branch of mathematics that appeals to a certain individual, of course depends upon the person: for people whose interaction with the subject has ceased after college, this area of preference is nominal. However, even for people pursuing higher studies in exact sciences and engineering, the process of solving a problem is mechanical — a mere blind way of doing what certain rules tell them to do. Certain great mathematicians have laid down these rules and therefore they CANNOT be wrong. It is this, more than anything else, that makes most of us overlook the real spirit of mathematics. Like every other achievement, none of these mathematical procedures were created overnight. It took years (sometimes centuries) and acumen of several outstanding mathematicians to unravel these mysteries. Text books on mathematics play a great role in disseminating knowledge. However, they may not always enable a student to appreciate that knowledge since he/she remains unaware of the root of a novel theory and its evolution.
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A Journey into the World of Exponential Functions 