Vector Calculus: Dots, Crosses & Triple Products Explained

AI Thread Summary
The discussion centers around recommendations for books covering vectors, gradients, divergence, and related applications. Participants suggest using resources like Linear Algebra and Multivariable Calculus texts, emphasizing that many standard calculus books, such as Stewart and Edwards-Penney, include these topics. Stronger treatments can be found in advanced texts like Apostol, Courant, and Spivak's work on calculus on manifolds. The conversation also highlights the importance of physics books, such as Feynman's lectures, for understanding the physical implications of these mathematical concepts. Overall, a wide range of resources is available for those interested in these mathematical topics.
pona24
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Can anybody please suggest me a good book which covers following topics in detail

Vectors - Dots, Cross and triple products, Gradient, divergence and applications.

thnx in advance
 
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"div, grad, curl, and all that"
 
thrill3rnit3 said:
"div, grad, curl, and all that"

What kind of reply is that?
 
AC130Nav said:
What kind of reply is that?

Lol, it's a book title... google it :smile:
 
I don't really see your problem with the reply. The OP was asking for books, the reply gave a book...
 
Essentially all several variable calculus books cover these topics: Stewart, Edwards-Penney, Hass Weir Thomas, either at the end or in volume 2. Stronger treatments are in apostol vol.2, Courant vol.2, Fleming, or even spivak's calculus on manifolds, or the derivative evrsion in guillemin and pollack. Indeed almost every differential geometry book on ym shelf covers this material. I found 10-15 books on my shelf with this theorem in it. this must be the most important theorem in mathematics. Of course that is no surpriz=se since it is the general fundamental theorem of calculus. (Stokes thm).

So if you own almost any calculus book, look in it for this stuff.

Physics books are also good for telling you what the theorem means physically. E.g. after learming the vector algebra try Feynman vol 2.
 
  • #10
thnk u all
 

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