## Monday, 13 July 2015

### THE REAL AND THE IMAGINARY PART OF COMPLEX NUMBERS EXPLAINED WITH EXAMPLES AND ANALOGIES IN REAL LIFE

( ) Whenever any object in nature is tilted at an angle.....or in other times your angle of viewing the object gets tilted,....it's view/influence/ impact gets divided into two (or More) components.

FIRST COMPONENT AKA PARALLEL COMPONENT AKA REAL PART.

THE PARALLEL COMPONENT . This component is the component which is parallel to wherever you are standing.
Mathematically put ....your frame of reference
( ) It can be parallel to your viewing angle, or parallel to the x-axis, parallel to the ground etc.
( ) But in general, parallel to the some reference surface.

( ) Maybe it's called as the REAL PART because that's what you REALLY ACTUALLY get to see.

SECOND COMPONENT/PERPENDICULAR COMPONENT / REAL PART
( ) This is that component which is perpendicular to your frame of reference.
( ) So,... many a times you don't actually get to see it...you know.
( ) Maybe that's why they call it the imaginary part.
( ) For example, if you are standing along the wall which has the orange colored rectangle,...you won't be able to see the cylindrical portion of that tin.

( ) So, one can only guess work or imagine on what would be on the other relatively perpendicular side of the tin. So...the imaginary part.

ANALOGY/EXAMPLE NO 2
( ) For example let's take the example of this rod and the shadow caused by it.
( ) In this case the surface below is the reference plane.
( ) So, the shadow parallel to the ground (the one which is falling on the ground itself) is the real part as they say it.
( ) On the other hand,...the shadow falling upon the wall is the imaginary part.

..............Binnoy
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THE ABOVE IS A EXCERPT FROM A BOOK AVAILABLE FOR PURCHASE (5\$) AT THE FOLLOWING LINK

VISUALIZING MATHS.PDF

AVAILABLE FOR PURCHASE FOR 5\$ (INR 300) HERE (PDF)

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## DONATION SECTION

DONATIONS SECTION HERE

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I hardly understood Math in school. In fact was on the verge of dropping the subject I loved the most because as much as I loved the theory of it, I could not understand the math involved in it. However I loved the subject too much to be able to live without. Hopelessly, I was continuing my love-affair with it.

Then one day....a miracle happened,....while applying a certain formula again and again.....I came to know its significance. Slowly and steadily....other equations also started clicking. I got to see a strong relationship between Maths and the Physics it was pointing towards. They both were the same. Maths was just an easy language to express a physical phenomenon. And a bit more to that in the sense that it could even predict the behaviour of a certain physical phenomenon. Equations now as if came to life.

Every equation now had as if something to say. A burning urge to share these things with the world aflamed within me. So that no one has to give up the subject that he or she loves the most.
The book on visualizing maths thus got written as a sprout of inspiration. The blog followed. Both these are dedicated to you and all such similar minds searching for answers.

Visualizing Math & Physics is a blog dedicated to you and all such similar minds searching for answers.

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CONTACT
binnoypanicker@gmail.com

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