A bit of work on the changes

changes-draft.html

@@ -10,25 +10,25 @@
 <li>In the proofs of Propositions 2.3.2, 2.3.6, Example 3.1.8, when referring to a sequence, always
   use braces.
 <li>Add explicit link/reference to chapter 7 to remark 2.4.6.
-<li>Add another restriction on which $g$ is continuous to Example 3.2.13.
-<li>Reword Lemma 3.3.1, Theorem 3.3.2 (min-max) as a simpler single sentence.
-<li>Make the Min-max theorem alternatively titled Extreme value theorem which
+<li>Add another example restriction on which $g$ is continuous to Example 3.2.13.
+<li>Reword Lemma 3.3.1 and Theorem 3.3.2 (min-max) as a simpler single sentence.
+<li>Make the Min-max theorem alternatively titled "Extreme value theorem" which
   is more common.  Emphasize the "closed and bounded" in the theorem
   statement.
 <li>Reword the proof of Proposition 4.1.10 a little bit to make it clearer.
   Also include a tiny bit more motivation.
-<li>Talk about "fog" to the intro for critical points.
+<li>Add some intuition (being in a fog analogy) to the intro for critical points.
 <li>Add Remark 5.1.15 to say something about integral being a sum and being
   global as opposed to derivatives being local.
 <li>In 5.2 add a few more motivating sentences.  And merge the paragraph from
   below Proposition 5.2.5 to the one above it to make things flow a little better.
-<li>Mark 5.5.13 as Integral test, and add that to the index.
+<li>Mark 5.5.13 as "Integral test," and add that to the index.
 <li>In 6.3, define "initial condition" as a term.
 <li>At the end of 6.3, reword the quip about continuity being necessary and add a
   very short remark about Peano existence if $F$ is only
   continuous, to justify Example 6.3.6 being discontinuous.
-<li>Do name the identity bit of Definition 7.1.1 the "identity of
-  indiscernibles", it is a bit wordy, but it feels like the property ought to
+<li>Name the identity bit of Definition 7.1.1 the "identity of
+  indiscernibles."  It is a bit wordy, but it feels like the property ought to
   have a name if the others do.
 <li>Reword proof of Proposition 7.2.14 to do the forward direction first.
 <li>Add $A \subset \overline{A}$ to Proposition 7.2.19 rather than just in text.