Monday, 15 June 2015

WHY THE SQUARE ROOT OF A NEGATIVE NUMBER IS A COMPLEX NUMBER?

|( )| Why is the square root of -4 = 2i ?

|( )| Why does  the square root of any negative number  involve an i term?

|( )| Well…..turns out that whenever you are even talking about taking the square root of a negative number, you are actually moving in a circular path (complex plane).

|( )| If you were moving  on a linear track or dealing with anything increasing in a linear fashion…..you would be dealing with numbers like 1,2,3,4 etc  or even -1,-2, -3 etc.

|( )| None of these numbers  when squared will give one the answer as -4.

|( )| Even a negative number like -2 when squared will not give -4.

|( )|  -2 x-2  will yield 4.

|( )| Only a number like 2i when squared will yield -4 as the anwer.

|( )| But then isn’t a number like 2i itself a hint that you are not moving in a linear path and that your path is complex (completely circular maybe).

|( )| Thus a number like square root of -4 makes sense only on the complex plane (circular of periodic path).

|( )| It doesn’t make sense on the linear path.

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

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

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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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