Dupin hypersurfaces in Lie sphere geometry

The method of moving frames in Lie sphere geometry has produced significant results in the classification of Dupin hypersurfaces in spheres. What is the secret of its effectiveness? The answer emerges in the classification of nonumbilic isoparametric surfaces in the space form geometries. Using the method of moving frames, the proof of this classification is an elementary exercise. The same proof classifies the cyclides of Dupin in M\"obius geometry and finally in Lie sphere geometry, where all nonumbilic Dupin immersions are Lie sphere congruent to each other.Comment: To appear in the Shoshichi Kobayashi Memorial Volume of Progress in Mathematics, Birkhause

New Frontiers In Collection Development Preparing To Meet New Standards

This article describes the general policies which may be included in a comprehensive collection development policy, attempting to follow national guidelines. It also describes one approach to analyzing how well the library collection supports the various parts of the curriculum, and presents a technique to compare a library collection with peer libraries by subject majors. Finally, the Collection Development Plan section provides a format for stating an action plan to develop the collection based upon all of the information gathered