Lang S. Calculus of Several Variables

1973 by Addison-Wesley Publishing Company, Inc. 384 p.The present course on calculus of several variables is meant as a text,
either for one semester following the First Course in Calculus, or for a
longer period if the calculus sequence is so structured.
In a one semester course, I suggest covering most of the first part,
omitting Chapter II, 3 and omitting some material from the chapter on
Taylor's formula in several variables, to suit the taste of the instructor and
the class. One can then jump directly to the chapter on double and triple
integrals, which could in fact be treated immediately after Chapter I. If
time allows, one can also cover the first section in the chapter on Green's
theorern, which gives a neat application of the techniques of double inte
grals and curve integrals. ' Joining. them in this fashion will make the
student learn both techniques better for having used them in a significant
context.