\contentsline {chapter}{\numberline {1}Introduction}{3}{chapter.1}
\contentsline {chapter}{\numberline {2}Mathematics}{4}{chapter.2}
\contentsline {section}{\numberline {2.1}Basic Equations}{4}{section.2.1}
\contentsline {section}{\numberline {2.2}Complex Analysis}{10}{section.2.2}
\contentsline {section}{\numberline {2.3}Differential Equations}{11}{section.2.3}
\contentsline {section}{\numberline {2.4}Linear Algebra and Matrices}{11}{section.2.4}
\contentsline {section}{\numberline {2.5}Numerical Methods}{11}{section.2.5}
\contentsline {section}{\numberline {2.6}The Greek Alphabet}{11}{section.2.6}
\contentsline {chapter}{\numberline {3}Classical Mechanics}{13}{chapter.3}
\contentsline {chapter}{\numberline {4}Plasma Physics}{14}{chapter.4}
\contentsline {section}{\numberline {4.1}Fundamental Kinetic Theory}{14}{section.4.1}
\contentsline {section}{\numberline {4.2}Fokker-Planck Collision Operator and Coulomb Scattering}{15}{section.4.2}
\contentsline {section}{\numberline {4.3}Braginskii Fluid Equations}{17}{section.4.3}
\contentsline {section}{\numberline {4.4}MHD/One-Fluid Equations}{19}{section.4.4}
\contentsline {section}{\numberline {4.5}Waves}{19}{section.4.5}
\contentsline {section}{\numberline {4.6}Stochasticity, Turbulence, and Transport}{20}{section.4.6}
\contentsline {section}{\numberline {4.7}Tokamak Equilibrium}{20}{section.4.7}
\contentsline {section}{\numberline {4.8}Common Plasma Physics Parameters}{20}{section.4.8}
\contentsline {chapter}{\numberline {5}Quantum Mechanics}{21}{chapter.5}
\contentsline {section}{\numberline {5.1}The essential quantum mechanic}{21}{section.5.1}
\contentsline {chapter}{\numberline {6}Astrophysics}{22}{chapter.6}
\contentsline {chapter}{References}{23}{section*.2}