Chapter 2: The Geometry of the Complex Numbers

Chapter 3: The Geometry of the Quaternions

Chapter 4: The Geometry of the Octonions

Chapter 5: Other Number Systems

Chapter 6: Some Orthogonal Groups

Chapter 7: Some Unitary Groups

Chapter 8: Some Symplectic Groups

Chapter 9: Symmetry Groups over Other Division Algebras

Chapter 10: Lie Groups and Lie Algebras

Chapter 11: The Exceptional Groups

Chapter 12: Division Algebras in Mathematics

Chapter 13: Octonionic Eigenvalue Problems

• §1. Spin
• §2. Quaternionic Spin
• §3. Introduction to the Dirac Equation
• §4. Clifford Algebras and Gamma Matrices
• §5. The Dirac Equation
• §6. The Weyl Equation
• §7. Leptons
• §8. Cayley Spinors
• §9. The Jordan Formulation of Quantum Mechanics
• §10. The $3$-$\Psi$ Rule

Chapter 15: Magic Squares

References