Multivariable calculus, class #28: divergence and curl

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Mathematician spotlight: Dylan Thurston

We do an example of looking at a vector field as the gradient of a function f(x,y). This is not possible for every vector field, but for those where it is, it helps to holistically understand the behavior. We define divergence and curl, compute it for our favorite vector fields, and discuss their geometric meaning.
  1. Diana Davis
  2. multivariable calculus
  3. vector field
  4. divergence
  5. curl
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Can you please explain why, in divergence, the vectors near zero is smaller than the vectors away from zero?

mdsalmankhan
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mam, could you please explain me what is physical meaning of dot product and cross product, i mean to say what we really do when we did a dot product of two vector and cross product of two vector, kindly do reply i deeply want to understand vector calculus..thanks & regard.

content
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recently i read a part of book for a women, " how to cook a pie" which is about math, and really she makes the ideas like a piece of cake.. and now prof Diana Davis is making compllcated ideas simple .. the question is why FEMALES explaining better than MALES.. i thought girls can work only as secretary :D :D , good job and i'm sure i will read a book for you soon, because you have a brilliant mind

osmankhalil