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RE: Taylor Series Expansions

• To: mathgroup at smc.vnet.net
• Subject: [mg32380] RE: [mg32372] Taylor Series Expansions
• From: F.H.Simons at tue.nl
• Date: Thu, 17 Jan 2002 02:23:33 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

Joe,

In my opinion the way Mathematica deals with Taylor series of functions of
more variables is incorrect, as your example demonstrates. But a classical
trick form calculus can be used:

Normal[ Series[ f[x, y] /. {x -> a + t x, y -> b + t y}, {t, 0, 2}] ]  /. 
  t -> 1

Regards,

Fred Simons
Eindhoven University of Technology