Added subsections when they appear, added all of the appendices, and finished the packet

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2024-02-22 13:45:47 -07:00
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\section{Einstein's Special Theory of Relativity}
\begin{definition}[\textbf{Axioms of the Special Theory of Relativity}]
\subsection*{Axioms of the Special Theory of Relativity}
\addcontentsline{toc}{subsection}{Axioms of the Special Theory of Relativity}
\begin{definition}
\hfill\\
The basic problem is to compare two different inertial (non-accelerating) coordinate systems $S$ and $S'$ in three-space ($\R^3$) that are in motion relative to each other under the assumption that the speed of light is the same when measured in either system. We assume that $S'$ moves at a constant velocity in relation to $S$ as measured from $S$. To simplify matters, let us suppose that the following conditions hold: