CHOICE:
Current Reviews for Academic Libraries is published by the
American Library Association. A reader survey ranked it "the
best short critical evaluations of new titles available anywhere"
.
The
following review of the first edition appeared in the June 1999 issue. It is reprinted
with permission from CHOICE, copyright by the American Library
Association. Emphasis added.
"The
decade of the '50s saw the emergence of a stunningly lucid series
of Princeton University seminar notes, most notably by John Milnor,
recording the remarkable advances in differential geometry then
being achieved by such as Atiyah, Bott, Chern, Hirzebruch, Thom,
and of course Milnor himself.
Not
long after there appeared a draft of "Advanced Calculus"
by Nickerson, Spencer, and Steenrod (NSS) though it seems never
to have been truly published; this brought down to the sophomore
level the understanding of those marvelous Princeton seminar
notes.
The
appearance of NSS marked the beginning of a small but important
countercurrent to the implacable flow of overweight, traditional,
rote, mechanical, mainstream multivariable calculus books — one thinks fondly of Michael
Spivak's Calculus on Manifolds (1965); Casper Goffman's
Calculus of Several Variables (1965); Wendell H. Fleming's
Functions of Several Variables (1966); John W. Woll Jr.'s
Functions of Several Variables (1966); and Lynn H. Loomis
and Shlomo Sternberg's Advanced Calculus (1968).
The book under review is
the latest stellar manifestation of
this welcome trend. Like its predecessors, it deftly weaves
into its exposition of multivariable calculus linear algebra,
differential forms, and smooth manifolds. Unlike them, it also
exploits today's calculator and computeraided symbolic computation
and graphical display capabilities. Superb on all counts! Undergraduates
through professionals "— F.E.J. Linton, Wesleyan
University
Vector
Calculus 5th edition
"A real
gem"  review of 2nd edition, MAA Monthly
Praise from readers
To order
(for books
shipped to the United States)
To
order
(for books shipped to other countries)
Student
Solution Manual for 5th edition
