dashed valued. Raise versions. It seems due to KDP nonsense there will

be new minor versions

ch-approximate.tex

@@ -235,14 +235,14 @@ \subsection{Complex numbers and limits}
 
 \subsection{Complex-valued functions}
 
-When we deal with complex valued functions
+When we deal with complex-valued functions
 $f \colon X \to \C$, what we often do is to write
 $f = u+iv$ for real-valued functions $u \colon X \to \R$ and $v \colon X \to
 \R$.
 
 On thing we often wish to do is to integrate
 $f \colon [a,b] \to \C$.  What we do is to write
-$f = u+iv$ for real valued $u$ and $v$.
+$f = u+iv$ for real-valued $u$ and $v$.
 We then define that $f$ is \emph{Riemann integrable}\index{Riemann
 integrable!complex-valued function}
 if and only if $u$ and $v$ are Riemann
@@ -332,7 +332,7 @@ \subsection{Exercises}
 {\ }
 \begin{enumerate}[a)]
 \item
-Prove that there is no simple mean value theorem for complex valued
+Prove that there is no simple mean value theorem for complex-valued
 functions:  Find a differentiable function $f \colon [0,1] \to \C$ such that
 $f(0) = f(1) = 0$, but $f'(t) \not= 0$ for all $t \in [0,1]$.
 \item
@@ -345,7 +345,7 @@ \subsection{Exercises}
 
 \begin{exercise}
 Prove that there is no simple mean value theorem for integrals
-for complex valued
+for complex-valued
 functions:  Find a continuous function $f \colon [0,1] \to \C$ such that
 $\int_0^1 f = 0$ but $f(t) \not= 0$ for all $t \in [0,1]$.
 \end{exercise}
@@ -757,7 +757,7 @@ \subsection{Differentiation}
 Uniform limits of the functions themselves are not enough, and can make
 matters even worse.  In \sectionref{sec:stoneweier} we will prove that
 continuous functions are uniform limits of polynomials, yet as the following
-example demonstrates, a continuous function need not have a derivative
+example demonstrates, a continuous function need not be differentiable
 anywhere.
 
 \begin{example}
@@ -986,7 +986,7 @@ \subsection{Analytic functions}
 \end{equation*}
 for $c_n, z, a \in \C$.  We say the series
 \emph{converges}\index{converges!power series} if the series converges for
-any $z \not= a$.
+some $z \not= a$.
 
 Let $U \subset \C$ be an open set and
 $f \colon U \to \C$ a function.

realanal.tex

@@ -338,8 +338,8 @@
 by Ji{\v r}\'i Lebl\\[3ex]} 
 \today
 \\
-(version 5.0)
-% --- 5th edition, 0th update)
+(version 5.1)
+% --- 5th edition, 1st update)
 \end{minipage}}
 
 %\addtolength{\textwidth}{\centeroffset}
@@ -420,7 +420,8 @@
 
 \noindent
 The date is the main identifier of version.  The major version / edition
-number is raised only if there have been substantial changes.  Edition
+number is raised only if there have been substantial changes.  Each
+volume has its own version number.  Edition
 number started at 4, that is, version 4.0, as it was not kept track of
 before.  %The edition given with the ISBN number is the major version.
 

realanal2.tex

@@ -378,8 +378,8 @@
 by Ji{\v r}\'i Lebl\\[3ex]} 
 \today
 \\
-(version 2.0)
-% --- 2nd edition, 0th update)
+(version 2.1)
+% --- 2nd edition, 1st update)
 \end{minipage}}
 
 %\addtolength{\textwidth}{\centeroffset}
@@ -461,8 +461,8 @@
 
 \noindent
 The date is the main identifier of version.  The major version / edition
-number is raised only if there have been substantial changes.  For example
-version 2.0 is first edition, 0th update (no updates yet).
+number is raised only if there have been substantial changes.  Each
+volume has its own version number.
 
 \bigskip