A01=Board on Mathematical Sciences
A01=Commission on Physical Sciences
A01=Division on Engineering and Physical Sciences
A01=National Research Council
and Applications
Author_Board on Mathematical Sciences
Author_Commission on Physical Sciences
Author_Division on Engineering and Physical Sciences
Author_National Research Council
Category=PB
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Mathematics
Product details
- ISBN 9780309057851
- Dimensions: 216 x 279mm
- Publication Date: 07 May 1997
- Publisher: National Academies Press
- Publication City/Country: US
- Product Form: Paperback
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Some of the modem developments described in Motion, Control, and Geometry include the geometric control of robot motion and craft orientation, how high-power precision micromotors are engineered for less invasive surgery and self-focusing lens applications, what a mobile robot on a surface has in common with one moving in three dimensions, and how the motion-control problem is simplified by a coupled oscillator's geometric grouping of degrees of freedom and motion time scales. The four papers in these proceedings provide a view through the scientific portal of today's motion-control geometric research into tomorrow's technology. The mathematics needed to carry out this research is that of modem differential geometry, and the questions raised in the field of motion-control geometry go directly to the research frontier. Geometry is a mathematical area too often neglected nowadays in a student's education. This publication will help adjust the control initially imposed about 2,300 years ago on one kind of "motion"- that of students entering Plato's Academy, where the following caveat was inscribed above the doorway: "Let no one ignorant of geometry enter here."
Readers of these chapters will gain an appreciation of modem geometry and how it continues to play a crucial role in the context of motion control in cutting-edge science and technology.
Board on Mathematical Sciences, National Research Council
