Central Simple Algebras and Galois Cohomology (Hardcover, 2 Revised edition)

1. Quaternion algebras; 2. Central simple algebras and Galois descent; 3. Techniques from group cohomology; 4. The cohomological Brauer group; 5. Severi?Brauer varieties; 6. Residue maps; 7. Milnor K-theory; 8. The Merkurjev?Suslin theorem; 9. Symbols in positive characteristic; Appendix. A breviary of algebraic geometry; Bibliography; Index.