diff --git a/doc/00-intro.md b/doc/00-intro.md
index 81d9a4e00..46ec8bba8 100644
--- a/doc/00-intro.md
+++ b/doc/00-intro.md
@@ -19,9 +19,9 @@ The problem that Composer solves is this:
 
 a) You have a project that depends on a number of libraries.
 
-b) Some of those libraries depend on other libraries .
+b) Some of those libraries depend on other libraries.
 
-c) You declare the things you depend on
+c) You declare the things you depend on.
 
 d) Composer finds out which versions of which packages need to be installed, and
    installs them (meaning it downloads them into your project).
@@ -111,7 +111,7 @@ composer.phar:
     
 > **Note:** If the above fails due to file_get_contents, use the `http` url or enable php_openssl.dll in php.ini
 
-Create a new `.bat` file alongside composer:
+Create a new `composer.bat` file alongside `composer.phar`:
 
     C:\bin>echo @php "%~dp0composer.phar" %*>composer.bat
 
diff --git a/doc/02-libraries.md b/doc/02-libraries.md
index 497f0f71e..a0797569a 100644
--- a/doc/02-libraries.md
+++ b/doc/02-libraries.md
@@ -1,6 +1,6 @@
 # Libraries
 
-This chapter will tell you how to make your library installable through composer.
+This chapter will tell you how to make your library installable through Composer.
 
 ## Every project is a package
 
@@ -29,7 +29,7 @@ convention is all lowercase and dashes for word separation.
 ## Platform packages
 
 Composer has platform packages, which are virtual packages for things that are
-installed on the system but are not actually installable by composer. This
+installed on the system but are not actually installable by Composer. This
 includes PHP itself, PHP extensions and some system libraries.
 
 * `php` represents the PHP version of the user, allowing you to apply
@@ -161,7 +161,7 @@ We do this by adding a package repository specification to the blog's
 For more details on how package repositories work and what other types are
 available, see [Repositories](05-repositories.md).
 
-That's all. You can now install the dependencies by running composer's
+That's all. You can now install the dependencies by running Composer's
 `install` command!
 
 **Recap:** Any git/svn/hg repository containing a `composer.json` can be added
@@ -177,8 +177,8 @@ The other thing that you may have noticed is that we did not specify a package
 repository for `monolog/monolog`. How did that work? The answer is packagist.
 
 [Packagist](https://packagist.org/) is the main package repository for
-composer, and it is enabled by default. Anything that is published on
-packagist is available automatically through composer. Since monolog
+Composer, and it is enabled by default. Anything that is published on
+packagist is available automatically through Composer. Since monolog
 [is on packagist](https://packagist.org/packages/monolog/monolog), we can depend
 on it without having to specify any additional repositories.