Title:
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MOTION, CONTROL, AND GEOMETRY
PROCEEDINGS OF A SYMPOSIUM |
By: |
National Research Council, Division on Engineering and Physical Sciences, Commission on Physical Sciences, Mathematics, and Applications |
Format: |
Paperback |
List price:
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£34.00 |
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ISBN 10: |
030905785X |
ISBN 13: |
9780309057851 |
Publisher: |
NATIONAL ACADEMIES PRESS |
Pub. date: |
7 May, 1997 |
Pages: |
80 |
Synopsis: |
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. |
Publication: |
US |
Imprint: |
National Academies Press |
Returns: |
Returnable |