## Sunday, 23 December 2012

### INTEGRATION OF CALCULUS, ITS PURPOSE, APPLICATIONS AND ITS IMPORTANCE IN MATHS.

|||| Integration is a short cut to multiplication. Actually even multiplication is a short cut to addition.

|||| The limits of integration just say how many pieces you have to keep integrating.

||||   dx----------means keep adding along the x direction
dy----------means keep adding along the y direction
dz----------means keep adding along the z direction.
dl----------means  keep adding along the length.
dƟ---------means keep adding along a vertical curvature.(Imagine building a curved building   from bottom to top)
d∅----------means keep adding and moving along a horizontal curvature.

GRAPHICAL WAY OF SEEING INTEGRATION.

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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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CONTACT

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