**Contemporary Mathematics**

Volume: 68;
1987;
273 pp;
Softcover
Secondary 53

Print ISBN: 978-0-8218-5075-6

Product Code: CONM/68

List Price: $48.00

Individual Member Price: $38.40

**Electronic ISBN: 978-0-8218-7657-2
Product Code: CONM/68.E**

List Price: $48.00

Individual Member Price: $38.40

# Differential Geometry: The Interface between Pure and Applied Mathematics

Share this page *Edited by *
*Mladen Luksic; Clyde Martin; William Shadwick*

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

# Table of Contents

## Differential Geometry: The Interface between Pure and Applied Mathematics

- Contents vii8 free
- Preface ix10 free
- Geometric Aspects of Hessenberg Matrices 112 free
- Differential Geometric Aspects of Continuum Mechanics in Higher Dimensions 2334
- Lax–Type Flows on Grassmann Manifolds 3950
- Some Global Aspects of the Feedback Linearization Problem 5162
- On Notions of Equivalence of Variational Problems with One Independent Variable 6576
- A Singular Problem in Elasticity Theory 7788
- Controllability of Linear Systems, Differential Geometry of Curves in Grassmannians, and Riccati Equations 8596
- Explicit Solutions for an Estimation Problem in Manifolds Associated with Lie Groups 99110
- Overdetermined Equivalence Problems with an Application to Feedback Equivalence 111122
- The Symbolic Computation of Higher–Order Derivations: Symmetries of Expressions and Actions of Group Algebras 121132
- Cartan's Method of Equivalence and the Classification of Second–Order Ordinary Differential Equations 133144
- A Necessary Condition for Local Controllability 143154
- Normal Forms for Linear and Nonlinear Systems 157168
- Adaptive Stabilization of Multivariable Linear Systems 191202
- Approximation, Interpolation and Sampling 227238
- Stability Analysis of a Rigid Body with a Flexible Attachment Using the Energy–Casimir Method 253264