Various typos/grammar related cleanup.

src/builtins.pod

@@ -55,7 +55,7 @@ X<types; Rat>
 
 C<Rat>, short for I<rational>, stores fractional numbers without loss of
 precision.  Because C<Rat> tracks its numerator and denominator as integers,
-mathmatical operations on C<Rat>s with large components can become quite slow.
+mathematical operations on C<Rat>s with large components can become quite slow.
 For this reason, rationals with large denominators automatically degrade to
 C<Num>.
 
@@ -90,7 +90,7 @@ The following operators are available for all number types:
 
     Binary operators:
     Operator     Description
-    **           Exponentation: $a**$b is $a to the power of $b
+    **           Exponentiation: $a**$b is $a to the power of $b
     *            multiplication
     /            division    
     div          integer division
@@ -153,7 +153,7 @@ The following operations are available for strings:
     ~            concatenation: 'a' ~ 'b' is 'ab'
     x            replication: 'a' x 2 is 'aa'
 
-    Unary oerators:
+    Unary operators:
     Operator     Description
     ~            conversion to string: ~1 becomes '1'
 

src/classes-and-objects.pod

@@ -383,7 +383,7 @@ before finishing:
 
 It's time to introduce the C<augment> syntax.
 
-Also, C<!$!done> is unnecessarily hard to read if you see ! as a quasiquoting
+Also, C<!$!done> is unnecessarily hard to read if you see ! as a quasi-quoting
 symbol.  It's a $ sandwich.
 
 =end for

src/grammars.pod

@@ -99,7 +99,7 @@ defined later on. The symbol C<{*}> provides a hook which makes it possible to
 plug in custom "actions" during the matching process. The C<#= object> and
 C<#= array> markers don't influence the match in any way; they just provide
 labels to make it easier for the action to determine which of the two
-alternatives matched. We discuss actions in the secion "Extracting
+alternatives matched. We discuss actions in the section "Extracting
 data", below.
 
 The following calls are straightforward, and reflect the structure in which

src/operators.pod

@@ -131,7 +131,7 @@ operator, it is applied to a list piece by piece. So C<[max] 1, 5, 3, 7> is
 the same as C<1 max 5 max 3 max 7> and evaluates to C<7>.
 
 Likewise you can write C<[+]> to get the sum of a list of values, C<[*]> for
-the product, and use C<< [<=] >> to check if a list is ordered ascendingly.
+the product, and use C<< [<=] >> to check if a list is ordered ascending.
 
 After the C<[max]> you see the expression C<@scores».key».chars>. Just like
 C<@variable.method> calls a method on the C<@variable>, C<@array».method>
@@ -157,8 +157,8 @@ X<meta operator; reduction>
 X<meta operator; []>
 
 The square brackets are called the I<reduction meta operator>: it transforms
-the enclosed infix operator into an operator that exepects a list (a
-I<listop>), and carries out the operation between each two conscutive list
+the enclosed infix operator into an operator that expects a list (a
+I<listop>), and carries out the operation between each two consecutive list
 items.
 
 For plotting the names of the players and bar charts, the program needs to
@@ -221,7 +221,7 @@ characters.
 
 =head1 A Word on Precedence
 
-X<operator precdence>
+X<operator precedence>
 X<precedence>
 
 The explanations of the example above have one implication, which was not yet

src/preface.pod

@@ -53,7 +53,7 @@ Archive Network); Perl is community (perl5porters, perl6-language).
 These are things that both Perl 5 and Perl 6 will share to varying
 degrees. Also, due to Perl's habit of stealing good ideas, Perl 5 and
 Perl 6 will converge in some areas as Perl 5 borrows ideas from Perl 6
-and vice versa.
+and vice-versa.
 
 =head1 Perl 6 implementations
 

src/roles.pod

@@ -118,7 +118,7 @@ simple commands.
 
 =head1 What is a role?
 
-Previous chapters have explained classes and grammers. A role is another type
+Previous chapters have explained classes and grammars. A role is another type
 of package. Like classes and grammars, a role can contain methods (including
 named regexes) and attributes. However, a role cannot stand on its own.  To use
 a role, you must incorporate it into an object, a class, or a grammar.
@@ -151,7 +151,7 @@ X<composition; conflicts>
 
 Take a look at the C<KarmaKeeper> class definition. The body is empty; the
 class defines no attributes or methods of its own. The class inherits from
-C<IRCBot>, using the C<is> trait modifier -- something familiar from ealier
+C<IRCBot>, using the C<is> trait modifier -- something familiar from earlier
 chapters -- but it also uses the C<does> trait modifier to compose two roles
 into the class.
 
@@ -258,7 +258,7 @@ Just as the C<*> quantifier in regexes means "zero or more", the C<.*> dispatch
 operator will call zero or more matching methods.  If no C<on-message> multi
 candidates match, the call will not produce an error.  If more than one
 C<on-message> multi candidate matches, Perl will call all of them, whether
-found by multiple dispatch, searching the inheritance hierarch, or both.
+found by multiple dispatch, searching the inheritance hierarchy, or both.
 
 There are two other variants. C<.+> greedily calls all methods but dies if
 there is not at least one method that matches. C<.?>, which tries to call one