Valuation theory arose in the early 20th century in connection with number theory and has many important applications to geometry and analysis. In this proceedings volume, researchers from various branches of mathematics discuss recent developments in valuation theory. A sampling of topics includes rigid analytic geometry, real algebraic geometry, resolution of singularities, noncommutative valuation theory, and valuations on fields and Galois theory. This volume (one, the second is forthcoming) is not indexed. Annotation c. Book News, Inc., Portland, OR (booknews.com)