1. Hilbert Space. - 2. Spinors. - Finite Number of Dimensions. - 3. Rotations in n Dimensions. - 4. Null Vectors and Null Planes. - 5. The Independence Theorem. - 6. Specification of a Null Plane without Its Coordinates. - 7. Matrix Notation. - 8. Expression of a Rotation in Terms of an Infinitesimal Rotation. - 9. Complex Rotations. - 10. The Noncommutative Algebra. - 11. Rotation Operators. - 12. Fixation of the Coefficients of Rotation Operators. - 13. The Ambiguity of Sign. - 14. Kets and Bras. - 15. Simple Kets. - Even Number of Dimensions. - 16. The Ket Matrix. - 17. The Two-Ket-Matrix Theorem. - 18. The Connection between Two Ket Matrices. - 19. The Representation of Kets. - 20. The Representative of a Simple Ket. General. - 21. The Representative of a Simple Ket. Special Cases. - 22. Fixation of the Coefficients of Simple Kets. - 23. The Scalar Product Formula. - Infinite Number of Dimensions. - 24. The Need for Bounded Matrices. - 25. The Infinite Ket Matrix. - 26. Passage from One Ket Matrix to Another. - 27. The Various Kinds of Ket Matrices. - 28. Failure of the Associative Law. - 29. The Fundamental Commutators. - 30. Boson Variables. - 31. Boson Emission and Absorption Operators. - 32. Infinite Determinants. - 33. Validity of the Scalar Product Formula. - 34. The Energy of a Boson. - 35. Physical Application. Language: English