       derivatives in cylindrical coords??

• To: mathgroup at smc.vnet.net
• Subject: [mg51260] derivatives in cylindrical coords??
• From: "news" <anonym at bamboo.com>
• Date: Sun, 10 Oct 2004 05:52:34 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```are derivative rules different for cylindrical coordinates??  for example,
taking derivative of unit vectors in Cartesian coords with base units vector
{x, y, z}  gives:
d/dx {x, 0, 0} = {1, 0, 0}
d/dy {0, y, 0} = {0, 1, 0}
d/dz {0, 0, z} = {0, 0, 1}
now, for cylindrical coords where base vectors are: {r, phi, z}, does this
hold??
d/dr {r, 0, 0} = {1, 0, 0}
d/dphi {0, phi, 0} = {0, 1, 0}
d/dz {0, 0, z} = {0, 0, 1}
I'm finding that it doesn't work , becuase if you cross d/dr with d/dphi in
cylindrical coords, you get {0,0,0}, and you should get {0,0,1}, so
something is missing in this derivative process, no???  Can anyone help??

```

• Prev by Date: Re: Re: normal distribution random number generation
• Next by Date: cross-product in cylindrical problem
• Previous by thread: Re: plotting groups of polynomial roots
• Next by thread: cross-product in cylindrical problem