Introduction to octonion and other non-associative algebras in physics

1. Introduction 2. Non-associative algebras 3. Hurwitz theorems and octonions 4. Para-Hurwitz and pseudo-octonion algebras 5. Real division algebras and Clifford algebra 6. Clebsch-Gordon algebras 7. Algebra of physical observables 8. Triple products and ternary systems 9. Non-associative gauge theory 10. Concluding remarks.