The book is unique compared to other books that deal with the same material because it explores where irrationality comes from.
Further, it provides a new way of looking at transcendental numbers, and on this basis answers the type of numbers π (pi) + e (Euler's Number), π (pi) * e (Euler's Number), π (pi) /e (Euler's Number) form.
It also classifies Euler-Mascheroni Constant as an irrational number.
Also included are +2 (root 2) & Liouville's constant.
All of the terms are gradually introduced therefore, almost anyone can understand the problems and solutions the book presents.
Even the basic terms such as π (pi) & e (Euler's Number) are introduced, so you will know what they are actually.
The book proceeds by defining the types of irrational numbers - algebraic & transcendental numbers. All the concepts are made clear with the help of illustrations.
To describe algebraic numbers, the concept of mathematical statements, equations, terms, coefficients, and polynomials are clearly explained. Special names for polynomials are also stated.
The three conditions an algebraic number has to satisfy are also mentioned.
When you understand where irrationality comes from - you will be able to answer whether a number is algebraic or transcendental.
You will be able to see how π (pi) + e (Euler's Number), π(pi) * e (Euler's Number), π (pi) /e ((Euler's Number) are all irrational transcendental numbers.
The book also touches on Liouville's constant & Euler-Mascheroni Constant.
Other things you will learn are:
- why a whole number is a rational number
- rational vs irrational numbers
- pi is rational or irrational, and why
- differences between rational and irrational numbers
- rational and irrational number examples
- what the sum of rational and irrational numbers results to
- why all integers are rational numbers
- why the sum of two irrational numbers is always irrational
- whether root 2 (+2) is a rational or irrational number
- how to identify rational numbers
- what makes a number irrational
After learning this book, I am sure it will impact your thinking process. Happy reading!!