MATH 157 References
The main text used for this course is
M. Spivak, Calculus,
4th edition, Publish or Perish, 2008, ISBN: 0914098918.
In principle, Spivak's book and your lecture notes provide enough
reading material throughout the semester. However, it would be good practice
to check out a couple of additional references without wandering off the main
path of your studies. This is purely optional but can help you get fresh
perspectives on the topics that we cover in this course.
A classic text that can be used in parallel is
T. M. Apostol, Calculus, vol. 1, 2nd edition,
John Wiley & Sons, 1967, ISBN: 0471000051
This is an expensive book, but the QC library has at least one copy of it on reserve.
You may also want to look at the recent book
C. R. MacCluer, Honors Calculus, Princeton University Press,
2006, ISBN: 0691125333
This is a rigorous and concise presentation of roughly the same
material as Spivak. However, much of the theoretical work (e.g. proofs)
are left to the reader as exercises. Delightful but demanding also!
Because of the rather theoretical flavor of the course, students of Honors
Calculus often feel the need to do more problems to sharpen their
computational skills. For that purpose, I suggest that you have
a standard calculus textbook at hand and choose from tens of computational
type problems at the end of each section. You could pick any of the gazillion generic
calculus books that are available in the library, such as
J. Stewart, Essential Calculus, 1st
edition, Brooks-Cole, 2006, ISBN: 0495014427
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