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Re: epsilondelta book
Posted:
Jan 5, 2003 12:51 PM


Vigual (eleyman@gmu.edu) [alt.math.undergrad 20030105 02:15:30 PST] http://groups.google.com/groups?th=c3649e80393b253a
wrote
> can anyone recommend a book for an introduction to analysis > (epsilon delta advanced calculus)?
Bryant [3] would be my recommendation if you're fresh out of the calculus/ODE sequence and studying on your own. If your background is a little stronger (i.e. you've had one of those "transition to advanced mathematics" courses at the Sophomore or Junior level), then Bressoud [2] might be better. Finally, you should take a look at Abbott [1] regardless  I think it's the best written introductory analysis book that's appeared in the past couple of decades.
[1] Stephen Abbott, "Understanding Analysis", SpringerVerlag, 2001. http://www.maa.org/reviews/understand.html http://makeashorterlink.com/?K4E6158F2 [amazon.com reviews] http://community.middlebury.edu/~abbott/UA/UA.html http://www.wkonline.com/a/Understanding_Analysis_0387950605.htm
[2] David M. Bressoud, "A Radical Approach to Real Analysis", Classroom Resource Materials Series #2, Mathematical Association of America, 1994. http://www.maa.org/pubs/books/ran.html http://makeashorterlink.com/?G2F6128F2 [amazon.com reviews] http://www.macalester.edu/~bressoud/ http://www.macalester.edu/~bressoud/books/aratracorrect.html
[3] Victor Bryant, "Yet Another Introduction to Analysis", Cambridge University Press, 1990. http://makeashorterlink.com/?S6D6528F2 [amazon.com reviews] http://makeashorterlink.com/?T6B6138F2
Dave L. Renfro



