Vector Calculus Supplies: Textbook, Syllabus, & More

[sandy.bridge]

Looking for supplemental material.
This is the textbook I am supposed to use.

(http://www.amazon.com/dp/0321549287/?tag=pfamazon01-20)

The syllabus is: Vector fields; vector calculus; ordinary differential equations; sequences, series, and power series.

 

[mathwonk]

in the old days everyone agreed the best book was by williamson, crowell and trotter. I myself liked and learned from the book by wendell fleming.

 

[jppike]

Vector Calculus by Susan Jane Colley is what my school is using for our vector calculus course intended for mathematics majors. To be honest I didn't even purchase the book for that course, but from other students who had a bit of trouble with calculus I've heard it's quite good :)

 

[Sankaku]

There is a free text here. I haven't used it, though.
http://www.mecmath.net/


If you want hardcore supplemental, there is "Advanced Calculus" by Loomis and Sternberg. Available here:
http://www.math.harvard.edu/people/SternbergShlomo.html

I wouldn't really recommend it until after your vector course, though.

 

[adam_t]

In my honours vector calc. course we used Marsden & Tromba. I would recommend it if you are looking for a deeper perspective than in Adams.

 

[sandy.bridge]

I ended up ordering Marsden & Tromba. I am assuming there will be a HUGE difference in rigorousness.