diff --git a/src/3_vectors_spaces.md b/src/3_vectors_spaces.md
index a4ef63259fa5c7348ad26a56937543e0ca8fe898..21961828c89b289b2e7b52430b6012d17fe0ce3b 100644
--- a/src/3_vectors_spaces.md
+++ b/src/3_vectors_spaces.md
@@ -20,20 +20,20 @@ A vector $\vec{v}$ is essentially a mathematical object characterised by both
   
   We can express a vector in terms of its individual **components**.
   
-  \item Let's assume we have an $n$-dimensional space, meaning that the vector $\vec{v}$ can be oriented
+  Let's assume we have an $n$-dimensional space, meaning that the vector $\vec{v}$ can be oriented
   in different ways along each of $n$ dimensions.
-  %
+  
   The expression of $\vec{v}$ in terms of its components is
-  \be
+  $$
   \vec{v} = \lp v_1, v_2, \ldots, v_n\rp \, ,
-  \ee
+  $$
  
-  We will denote by ${\mathcal V}^n$ the {\bf vector space} composed
+  We will denote by ${\mathcal V}^n$ the **vector space** composed
   by all possible vectors of the above form.
-  %
+  
   Shortly we will define more precisely what are the mathematical properties of such space.
 
-  The components of a vector, $\{ v_i\}$ can be {\bf real numbers} or {\bf complex numbers},
+  The components of a vector, $\{ v_i\}$ can be **real numbers** or **complex numbers**,
   depending on whether we have a real or a complex vector space.
 
 \item The expression above of $\vec{v}$ in terms of its components assume that we are