Self-teaching Calculus III Books

[Crichton]

Hi all,

Well, there is a possibility that I may not be able to get into a Calculus III course next semester so I was wondering if anyone knew of any good books that I could use to teach myself the subject matter.

I'm pretty sure Calculus III covers the following: Infinite series; parametric and polar equations; vectors in two and three dimensions; lines, planes, and various families of surfaces in three dimensional space.

I refuse to go an entire semester without continuing my Calculus education, so any help will be greatly appreciated!

 

[ks_physicist]

My two calculus textbooks (Dick, Thomas and Patton, Charles. Calculus. 1995; Swokowski, Earl W., et. al.. Calculus. 1994) both cover the basic Calc III topics. My Calc III class used Dick/Patton, and the syllabus states that the course covers "...most of chapters 11-15 of the text." That would be:

11: Fundamentals of Vectors
12: Calculus of Curves
13: Fundamentals of Multivariable Functions
14: Differential Calculus of Multivariable Functions
15: Integral Calculus of Multivariable Functions

Oddly, my Calc III course did not touch on vector calculus (chapters 16 and 17), which screwed me in E&M.