## Tuesday, 11 June 2013

### DIVERGENCE: Its purpose and applications

Divergence is nothing but the 'rate'  at which a certain quantity like heat or light or sound changes as you keep moving away from it's source.

|~~|  There is always a partial derivative sign in Divergence associated with divergence. Haven't you wondered why it comes in divergence?

|~~| Firstly,  a partial derivative w.r.t x means measuring the rate of change along the x direction without moving in the y or the z direction(keeping y and z ).

|~~| Similarly a partial derivative w.r.t y means measuring the rate of change along the y direction without touching the x direction or the z direction (keeping x and z constant )

|~~| Now let's say you have moved away from a source of light in such a way that it involves movement along the x,y as well as the z direction.

|~~| Now the total rate of change as you move away from the source is a sum of the rate of change in the x direction + the rate of change in the y direction + the rate of change into the z direction.

|||||||||||||||||||||||||||||||||||||||||||||||||||

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)

||||||||||||||||||||||||||||||||||||||||||||||||||

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.

||||||||||||||||||||||||||||||||||||||||||||||

CONTACT
binnoypanicker@gmail.com

||||||||||||||||||||||||||||||||||||||||||||||