Let's be honest, when you see numbers involving with letters like that; will you be in-short-term shocked?
I am an Engineering student and I am now on my final year. My five-year journey in Engineering degree has never been easy; and I think it will never be. My daily routine looks like this: I eat Math on breakfast, some "fresh thermodynamics" during lunch, "baked machine design subjects" on evening and swallow ALL OF IT for my late midnight snacks. I mean, we became immune to it. There's a nickname I call all Engineering students, and that is "Forced Genius." Haha
A LOT of Numbers!
There are A LOT of numbers in this world; see the image above. They are the Real Numbers, Rational Numbers, Integers, Whole Numbers, Naturals, and Complex Numbers. Let us define each of it before dealing complex numbers.
- Real Numbers - These are our "known" numbers. Simply, Real Numbers are the numbers along with the Cartesian Plane ( includes ALL rational numbers, integers, irrational numbers and fractions.)
- Rational Numbers - These are the numbers that can be expressed as a fraction, with terminating or non-terminating and/or repeating decimals.
- Integers - I defined it as the "kid's numbers". These are the whole whole numbers whether positive or negative.
- Whole Numbers - Simply, these are the numbers without a denominator; or not in fraction.
- Natural Numbers - These are all the positive numbers and sometimes 0.
- Complex Numbers - These are the "out-in-the-world" numbers. Lol
What are Complex Numbers?
Of course it was introduced to me on high school, but I really don't have any "broad" idea about complex numbers if I did not take BS Mechanical Engineering. Complex Numbers are the numbers that contain a "real and imaginary" parts. There are answers in the other phase of Mathematics that did not exist in reality, and it is called "imaginary." Try to look at this...
How will you solve something like that? When you calcu it, the calculator will probably just say "MATH ERROR". But it really has an answer; in the form of complex number ( 0 +5i or 5i ). A complex number is in the form of x +yi. Where "x and y" are real numbers and "i" is = sqrt(-1), so that "yi" is imaginary unless y=0.
Introducing "Argand's Diagram"
Argand's Diagram is the "Cartesian Plane" of real numbers in contrast. However, its x-axis are the "real" values and y-axis are the "imaginary" values; combining together to be an imaginary number in the form of a+bi in the image shown.
Generally, you can call "imaginary numbers" if a number or expression contains a symbol of "i" or sometimes "j".
I am excited to share more with you guys about my engineering journey and subjects.
Have fun in Math!
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