Errata for Real Analysis with Real Applications

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### Errata

page Pgraph line change
----chapter 7-------------------------------------------------------------------
124 last 3 change "x,y in V" to "x,y,z in V"
----chapter l2-------------------------------------------------------------------
321 2 3 Before "Then ...", insert "Fix x_0>a. Let a_0 =
sup {a} \cup { x : a < x <= x_0 tau(x) = 0 }.
Notice that ||G(a_0)-F(a_0)|| \le delta.
If a_0 = x_0, then G(x_0) = F(x_0) and the
inequality is trivial.
Otherwise, tau(x) > 0 on (a_0,x_0) and thus tau
is differentiable on this interval."
Change "Then" to "Then for x in (a_0,x_0), we have"
321 last 8 Change "a" to "a_0" in five places.
322 1 1 Change only the first two "a"'s to "a_0".
322 1 3 Change "a" to "a_0" in two places.
322 1 3 Add "In particular, the above inequality holds for
x=x_0 and, as x_0 is
an arbitrary point on (a,b], the result follows."
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We welcome comments on this book. If you find an error or a
confusing passage not corrected in the list above, please let us know.
You can email us at krdavids@uwaterloo.ca
and adonsig1@unl.edu.