{"product_id":"motion-control-and-geometry","title":"Motion, Control, and Geometry","description":"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.\"\nReaders 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.","brand":"National Academies Press","offers":[{"title":"Default Title","offer_id":55409060774232,"sku":"9780309057851","price":47.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9780309057851.jpg?v=1777980623","url":"https:\/\/agendabookshop.com\/products\/motion-control-and-geometry","provider":"Agenda Bookshop","version":"1.0","type":"link"}