Description
Book SynopsisTrade Review"John Milnor, Winner of the 2011 Abel Prize from the Norwegian Academy of Science and Letters"
"John Willard Milnor, Winner of the 2011 Leroy P. Steele Prize for Lifetime Achievement, American Mathematical Society"
Table of Contents*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
