This book thoroughly covers the area of "Serre's Problem on Projective Modules", as it presents a broad and comprehensive view on the mathematics of "Serre's Conjecture", its history, its different solutions, and the important subsequent developments. This book is an invaluable summary of research work done in the period from 1978 to the present.

An invaluable summary of research work done in the period from 1978 to the present

Inhalt
to Serre's Conjecture: 19551976.- Foundations.- The Classical Results on Serre's Conjecture.- The Basic Calculus of Unimodular Rows.- Horrocks' Theorem.- Quillen's Methods.- K1-Analogue of Serre's Conjecture.- The Quadratic Analogue of Serre's Conjecture.- References for Chapters IVII.- Appendix: Complete Intersections and Serre's Conjecture.- New Developments (since 1977).- References for Chapter VIII.