Druck auf Anfrage Neuware - Printed after ordering - This book presents a unified mathematical treatment of diverse problems in thegeneral domain of robotics and associated fields using Clifford or geometric alge-bra. By addressing a wide spectrum of problems in a common language, it offersboth fresh insights and new solutions that are useful to scientists and engineersworking in areas related with robotics.It introduces non-specialists to Clifford and geometric algebra, and provides ex-amples to help readers learn how to compute using geometric entities and geomet-ric formulations. It also includes an in-depth study of applications of Lie grouptheory, Lie algebra, spinors and versors and the algebra of incidence using theuniversal geometric algebra generated by reciprocal null cones.Featuring a detailed study of kinematics, differential kinematics and dynamicsusing geometric algebra, the book also develops Euler Lagrangeand Hamiltoni-ans equations for dynamics using conformal geometric algebra, and the recursiveNewton-Euler using screw theory in the motor algebra framework. Further, itcomprehensively explores robot modeling and nonlinear controllers, and discussesseveral applications in computer vision, graphics, neurocomputing, quantum com-puting, robotics and control engineering using the geometric algebra framework.The book also includes over 200 exercises and tips for the development of futurecomputer software packages for extensive calculations in geometric algebra, and aentire section focusing on how to write the subroutines in C++, Matlab and Mapleto carry out efficient geometric computations in the geometric algebra framework.Lastly, it shows how program code can be optimized for real-time computations.An essential resource for applied physicists, computer scientists, AI researchers,roboticists and mechanical and electrical engineers, the book clarifies and demon-strates the importance of geometric computing for building autonomous systemsto advance cognitive systems research.

Bestandsnummer des Verk�ufers 9783030349769

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Bibliografische Details

Titel: Geometric Algebra Applications Vol. II : Robot Modelling and Control
Verlag: Springer International Publishing
Erscheinungsjahr: 2020
Sprache: Englisch
ISBN-10: 3030349764
ISBN-13: 9783030349769
Einband: Buch
Zustand: Neu

�ber diesen Titel

Inhaltsangabe

This book presents a unified mathematical treatment of diverse problems in the

general domain of robotics and associated fields using Clifford or geometric alge-

bra. By addressing a wide spectrum of problems in a common language, it offers

both fresh insights and new solutions that are useful to scientists and engineers

working in areas related with robotics.

It introduces non-specialists to Clifford and geometric algebra, and provides ex-

amples to help readers learn how to compute using geometric entities and geomet-

ric formulations. It also includes an in-depth study of applications of Lie group

theory, Lie algebra, spinors and versors and the algebra of incidence using the

universal geometric algebra generated by reciprocal null cones.

Featuring a detailed study of kinematics, differential kinematics and dynamics

using geometric algebra, the book also develops Euler Lagrange and Hamiltoni-

ans equations for dynamics using conformal geometric algebra, and the recursive

Newton-Euler using screw theory in the motor algebra framework. Further, it

comprehensively explores robot modeling and nonlinear controllers, and discusses

several applications in computer vision, graphics, neurocomputing, quantum com-

puting, robotics and control engineering using the geometric algebra framework.

The book also includes over 200 exercises and tips for the development of future

computer software packages for extensive calculations in geometric algebra, and a

entire section focusing on how to write the subroutines in C++, Matlab and Maple

to carry out efficient geometric computations in the geometric algebra framework.

Lastly, it shows how program code can be optimized for real-time computations.

An essential resource for applied physicists, computer scientists, AI researchers,

roboticists and mechanical and electrical engineers, the book clarifies and demon-

strates the importance of geometric computing for building autonomous systems

to advance cognitive systems research.

�ber die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teor�a y cr�tica del dise�o y han escrito m�s de sesenta libros sobre la materia, muchos de los cuales se han convertido en �xitos de ventas. Tambi�n han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Dise�o del siglo XX, El dise�o industrial de la A a la Z, Scandinavian Design y Dise�o del siglo XXI.

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