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.
A book for both physicists and mathematicians dealing with the application of non-associative algebras in physics.
"This book will remain an excellent source for applications of nonassociative algebras in physics for a long time." Hyo C. Myung, Mathematical Reviews