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Limits, Limits Everywhere: The Tools of Mathematical Analysis
A quantity can be made smaller and smaller without it ever vanishing. This fact has profound consequences for science, technology, and even the way we think about numbers. This book explores this idea by moving at an easy pace through an account of elementary real analysis and, in particular, focuses on numbers, sequences, and series.
Paperback, 200 pages
Published May 4th 2012 by Oxford University Press, USA
(first published March 1st 2012)
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I have found David Applebaum difficult to read. I am not sure why, but there are other beginning analysis or transition mathematics books I found easier to learn from. Having said that, I did enjoy attempting the exercises even though it did my brain in quite a bit.