Featured Reviews in Mathematical Reviews 1997-1999

This second volume of ""Featured Reviews"" makes available special detailed reviews of some of the most important mathematical articles and books published from 1997 through 1999. Also included are excellent reviews of several classic books and articles published prior to 1970. Among those reviews, for example, are the following: ""Homological Algebra"" by Henri Cartan and Samuel Eilenberg, reviewed by G. Hochschild; ""Faisceaux Algebriques Coherents"" by Jean-Pierre Serre, reviewed by C. Chevalley; and ""On the Theory of General Partial Differential Operators"" by Lars Hormander, reviewed by J. L. Lions.In particular, those seeking information on current developments outside their own area of expertise will find the volume very useful. By identifying some of the best publications, papers, and books that have had or are expected to have a significant impact in applied and pure mathematics, this volume will serve as a comprehensive guide to important new research across all fields covered by MR.