X-Git-Url: https://hackdaworld.org/gitweb/?p=lectures%2Flatex.git;a=blobdiff_plain;f=physics_compact%2Fmath_app.tex;h=079d8d9f6f813a2476b76ac1f31b85ba491b7051;hp=e6e935e02ab94884ffacec27651f38c564975a09;hb=0929321d46ef53429ae8d78a0f08e452e96b3cd2;hpb=3f852281225ee807881897349cf4ca6fba124a48

diff --git a/physics_compact/math_app.tex b/physics_compact/math_app.tex
index e6e935e..079d8d9 100644
--- a/physics_compact/math_app.tex
+++ b/physics_compact/math_app.tex
@@ -1,6 +1,8 @@
 \chapter{Mathematical tools}
 
-\section{Vector space}
+\section{Vector algebra}
+
+\subsection{Vector space}
 \label{math_app:vector_space}
 
 \begin{definition}
@@ -32,6 +34,18 @@ Due to the additive abelian group, the following properties are additionally val
 The addition of two vectors is called vector addition.
 \end{remark}
 
+\subsection{Dual space}
+
+\subsection{Inner and outer product}
+
+\begin{definition}
+The inner product ...
+\end{definition}
+
+\begin{definition}
+The outer product ...
+\end{definition}
+
 \section{Spherical coordinates}
 
 \section{Fourier integrals}