Differential geometry : the interface between pure and applied mathematics : proceedings of a conference held April 23-25, 1986 with support from the National Science Foundation
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書誌事項
Differential geometry : the interface between pure and applied mathematics : proceedings of a conference held April 23-25, 1986 with support from the National Science Foundation
（Contemporary mathematics, v. 68）
American Mathematical Society, c1987
- : pbk
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注記
"The Conference on Differential Geometry: The Interface between Pure and Applied Mathematics was held at San Antonio, Texas, April 23-25, 1986"--T.p. verso
内容説明・目次
内容説明
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.
目次
Geometric aspects of Hessenberg matrices by G. S. Ammar Differential geometric aspects of continuum mechanics in higher dimensions by D. E. Betounes Lax-type flows on Grassmann manifolds by A. M. Bloch Some global aspects of the feedback linearization problem by W. M. Booth by and W. P. Dayawansa On notions of equivalence of variational problems with one independent variable by R. L. Bryant A singular problem in elasticity theory by D. M. DeTurck and G. Kamberov Controllability of linear systems, differential geometry of curves in Grassmannians, and Riccati equations by L. D. Drager, R. L. Foote, and C. F. Martin Explicit solutions for an estimation problem in manifolds associated with Lie groups by T. E. Duncan Overdetermined equivalence problems with an application to feedback equivalence by R. B. Gardner and W. F. Shadwick The symbolic computation of higher-order derivations: symmetries of expressions and actions of group algebras by R. Grossman and R. G. Larson Cartan's method of equivalence and the classification of second-order ordinary differential equations by N. Kamran and W. F. Shadwick A necessary condition for local controllability by M. Kawski Normal forms for linear and nonlinear systems by A. J. Krener Adaptive stabilization of multivariable linear systems by B. Martensson Approximation, interpolation, and sampling by C. Martin and J. Smith Stability analysis of a rigid body with a flexible attachment using the energy-Casimir methods by T. A. Posbergh, P. S. Krishnaprasad, and J. E. Marsden.
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