Which vector analysis textbook covers spherical and cylindrical coordinates?

[iampaul]

Can you suggest me a book in vector analysis which covers spherical and cylindrical coordinates. My professor discusses the calculation of volume, surface area and curve length, by integrating differential surface and volume elements in terms of cartesian, spherical and cylindrical coordinates. All the books I find in our library only uses cartesian. Curvilinear coordinates are introduced but not used much. I have the same problem with surface and line integrals. It would be better if the book uses all coordinate systems throughout the text.

 

[Jorriss]

Based on what it sounds like the level of the course is, you may enjoy Vector Calculus by Marsden. A lot of people I know disliked it however.

 

[alissca123]

I think Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach by Hubbard is just what you need!
https://www.amazon.com/dp/0130414085/?tag=pfamazon01-20
And I personally don't like Marsden...

 

[Jimmy Snyder]

Have you looked at the Vector Analysis textbook by Victor and Alice S. Textbook?

 

[jasonRF]

I was in your exact situation about 20 years ago - I found that the Schaum's Outline of Vector Analysis fit the bill quite well. Discusses curvilinear coordinates and has enough examples to help you out. Cheap, too!

good luck,

jason