MATH 157 References
The main text used for this course is
M. Spivak, Calculus,
4th edition, Publish or Perish, 2008, ISBN-13: 978-0914098911
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-13: 978-0471000051
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 more recent book
Z. Nitecki, Calculus Deconstructed, The Mathematical Association of America, 2009, ISBN-13: 978-0883857564
This is a rigorous presentation of roughly the same material as Spivak. 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, 2nd edition, Cengage Learning, 2012, ISBN-13: 978-1133112297
Another favorite is
Adrian Banner, The Calculus Lifesaver: All the tools you need to excel at
calculus, Princeton University Press, 2007, ISBN13: 978-0691130880
This is a tutorial written in a friendly and engaging style, and has many good explanations
and well-chosen examples if you intend to work on your computational skills. At 752 pages, it's also very reasonably priced. The book has
an accompanying webpage with links to videos of
the author's lectures on various calculus topics.
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