more math

[lectures/latex.git] / physics_compact / math_app.tex

diff --git a/physics_compact/math_app.tex b/physics_compact/math_app.tex
index e6e935e..079d8d9 100644 (file)
--- 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}