diff --git a/README.md b/README.md
index bd506833..7fed2991 100644
--- a/README.md
+++ b/README.md
@@ -1,4 +1,7 @@
-# nalgebra  [![Build Status](https://travis-ci.org/sebcrozet/nalgebra.png?branch=master)](https://travis-ci.org/sebcrozet/nalgebra)
+# nalgebra
+
+[![Build Status](https://travis-ci.org/sebcrozet/nalgebra.png?branch=master)](https://travis-ci.org/sebcrozet/nalgebra)
+
 **nalgebra** is a linear algebra library written for Rust targeting:
 
 * general-purpose linear algebra (still misses a lot of features…).
@@ -12,24 +15,13 @@ All the functionalities of **nalgebra** are grouped in one place: the `na` modul
 This module re-exports everything and includes free functions for all traits methods doing
 out-of-place modifications.
 
-* You can import the whole prelude, including free functions, using:
+* You can import the whole prelude using:
 
 ```.rust
 use nalgebra::na::*;
 ```
 
-* If you dont want to import everything but only every trait:
-
-```.rust
-use nalgebra::traits::*;
-```
-
-* If you dont want to import everything but only every structure:
-
-```.rust
-use nalgebra::structs::*;
-```
-The preffered way to use **nalgebra** is to import types and traits explicitly, and call
+The preferred way to use **nalgebra** is to import types and traits explicitly, and call
 free-functions using the `na::` prefix:
 
 ```.rust
@@ -43,7 +35,7 @@ fn main() {
 
     b.append_rotation(&a);
 
-    assert!(na::rotation(&b).approx_eq(&a));
+    assert!(na::approx_eq(&na::rotation(&b), &a));
 }
 ```
 
diff --git a/src/lib.rs b/src/lib.rs
index ea2dc9be..730a6c82 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -16,24 +16,13 @@ All the functionalities of **nalgebra** are grouped in one place: the `na` modul
 This module re-exports everything and includes free functions for all traits methods doing
 out-of-place modifications.
 
-* You can import the whole prelude, including free functions, using:
+* You can import the whole prelude using:
 
 ```.rust
 use nalgebra::na::*;
 ```
 
-* If you dont want to import everything but only every trait:
-
-```.rust
-use nalgebra::traits::*;
-```
-
-* If you dont want to import everything but only every structure:
-
-```.rust
-use nalgebra::structs::*;
-```
-The preffered way to use **nalgebra** is to import types and traits explicitly, and call
+The preferred way to use **nalgebra** is to import types and traits explicitly, and call
 free-functions using the `na::` prefix:
 
 ```.rust
@@ -47,7 +36,7 @@ fn main() {
 
     b.append_rotation(&a);
 
-    assert!(na::rotation(&b).approx_eq(&a));
+    assert!(na::approx_eq(&na::rotation(&b), &a));
 }
 ```