Contemporary Mathematics 1987; 273 pp; softcover Volume: 68 Reprint/Revision History: reprinted 1991 ISBN10: 082185075X ISBN13: 9780821850756 List Price: US$45 Member Price: US$36 Order Code: CONM/68
 Normally, mathematical research has been divided into "pure" and "applied," and only within the past decade has this distinction become blurred. However, differential geometry is one area of mathematics that has not made this distinction and has consistently played a vital role in both general areas. The papers in this volume represent the proceedings of a conference entitled "Differential Geometry: The Interface Between Pure and Applied Mathematics," which was held in San Antonio, Texas, in April 1986. The purpose of the conference was to explore recent exciting applications and challenging classical problems in differential geometry. The papers represent a tremendous range of applications and techniques in such diverse areas as ordinary differential equations, Lie groups, algebra, numerical analysis, and control theory. Table of Contents  G. S. Ammar  Geometric aspects of Hessenberg matrices
 D. E. Betounes  Differential geometric aspects of continuum mechanics in higher dimensions
 A. M. Bloch  Laxtype flows on Grassmann manifolds
 W. M. Boothby and W. P. Dayawansa  Some global aspects of the feedback linearization problem
 R. L. Bryant  On notions of equivalence of variational problems with one independent variable
 D. M. DeTurck and G. Kamberov  A singular problem in elasticity theory
 L. D. Drager, R. L. Foote, and C. F. Martin  Controllability of linear systems, differential geometry of curves in Grassmannians, and Riccati equations
 T. E. Duncan  Explicit solutions for an estimation problem in manifolds associated with Lie groups
 R. B. Gardner and W. F. Shadwick  Overdetermined equivalence problems with an application to feedback equivalence
 R. Grossman and R. G. Larson  The symbolic computation of higherorder derivations: symmetries of expressions and actions of group algebras
 N. Kamran and W. F. Shadwick  Cartan's method of equivalence and the classification of secondorder ordinary differential equations
 M. Kawski  A necessary condition for local controllability
 A. J. Krener  Normal forms for linear and nonlinear systems
 B. Mårtensson  Adaptive stabilization of multivariable linear systems
 C. Martin and J. Smith  Approximation, interpolation, and sampling
 T. A. Posbergh, P. S. Krishnaprasad, and J. E. Marsden  Stability analysis of a rigid body with a flexible attachment using the energyCasimir method
