"John Milnor, Winner of the 2011 Abel Prize from the Norwegian Academy of Science and Letters"

• *Frontmatter, pg. i*Preface and Guide to the Literature, pg. vii*Contents, pg. xiii* 1. Projective Modules and K0LAMBDA, pg. 1* 2 . Constructing Projective Modules, pg. 19* 3. The Whitehead Group K1LAMBDA, pg. 25* 4. The Exact Sequence Associated with an Ideal, pg. 33* 5. Steinberg Groups and the Functor K2, pg. 39* 6. Extending the Exact Sequences, pg. 53* 7. The Case of a Commutative Banach Algebra, pg. 57* 8. The Product K1LAMBDA K1LAMBDA --> K2LAMBDA, pg. 63* 9. Computations in the Steinberg Group, pg. 71* 10. Computation of K2Z, pg. 81* 11. Matsumoto's Computation of K2 of a Field, pg. 93*12. Proof of Matsumoto's Theorem, pg. 109* 13. More about Dedekind Domains, pg. 123* 14. The Transfer Homomorphism, pg. 137* 15. Power Norm Residue Symbols, pg. 143* 16. Number Fields, pg. 155*Appendix. Continuous Steinberg Symbols, pg. 165*Index, pg. 183