Integers, Real, Rational, Natural, and Irrational Numbers
Integers, Real, Rational, Natural, and Irrational Numbers: 4000 Arithmetic and Number Theory Exercises by Norman Sanko
English | 2021 | ISBN: N/A | ASIN: B09H652J3P | 355 pages | EPUB | 0.16 Mb
English | 2021 | ISBN: N/A | ASIN: B09H652J3P | 355 pages | EPUB | 0.16 Mb
When we are very young, we learn how to count, and the natural numbers form readily in our head; we cannot conceive of any other kinds of numbers.
And then primary school teaches us that negative numbers exist. A little later, we are taught that natural numbers and their negatives together form the set of integers.
Still later, in middle school, we discover many more types of numbers. The concept of fractional numbers becomes more formal when we learn about rational numbers that are not integers: the terminating and not terminating decimals.
And finally, we also learn about irrational numbers and about the overarching set of real numbers. It takes a few more years before we delve into the complex numbers as well!
These concepts are very important and are deceptively profound: they form the core of number theory and of real analysis.
This book is a good introduction to classification of numbers into integers, rational, and irrational numbers; it is a first look at the real number system. There are hundreds of solved examples for you to see how it all comes together!
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