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Geometric Algebra Applications Vol. II: Robot Modelling and Control: 2 - Hardcover

 
9783030349769: Geometric Algebra Applications Vol. II: Robot Modelling and Control: 2

Synopsis

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 Lagrangeand 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.


"synopsis" may belong to another edition of this title.

From the Back Cover

The goal of Geometric Algebra Applications Vol. II: Robot Modeling and Control is to present a unified mathematical treatment of diverse problems in the general domain of robotics and associated fields using Clifford, or geometric algebra. By treating a wide spectrum of problems in a common language, this Volume II offers both new insights and new solutions that should be useful to scientists, and engineers working in different areas related with robotics.

Topics and features

-Introduces a no specialists to Clifford, or geometric, algebra and by examples encourages the reader to learn to compute using geometric entities and geometric formulations.

-A study in depth for 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.

-Includes a thorough study of kinematics, differential kinematics and dynamics using geometric algebra. TheEuler Lagrange and Hamiltonians equations for dynamics are developed using conformal geometric algebra and the recursive Newton-Euler using screw theory in the motor algebra framework. A thorough study of robot modeling and nonlinear controllers.

-Thorough discussion of several applications in computer vision, graphics, neurocomputing, quantum computing, robotics and control engineering using the geometric algebra framework.

-209 exercises and hints for the development of future computer software packages for extensive calculations in geometric algebra. A entire section is dedicated to explain how one should write the subroutines in C++, Matlab and Maple to carry out efficient geometric computations in the geometric algebra framework. Furthermore it is shown how program code can be optimized for real time computations.

-The book is an essential resource for applied physicists, computer scientists, AI researchers, roboticists and mechanical and electrical engineers, it clarifies and demonstrates the importance of geometric computing for building autonomous systems and push forward advances in cognitive systems research.

"About this title" may belong to another edition of this title.

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9783030349776: Geometric Algebra Applications Vol. II: Robot Modelling and Control

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ISBN 10:  3030349772 ISBN 13:  9783030349776
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Offers in a compact and complete way the theory and methods to apply Geometric Algebra to Robotics Introduces the basics of geometric algebra to specialists and non- specialists in a gentle and comprehensive manner using examples and abundant figu. Seller Inventory # 448679894

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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 Lagrange and 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. 632 pp. Englisch. Seller Inventory # 9783030349769

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Buch. Condition: Neu. 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. Seller Inventory # 9783030349769

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Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book presents a unified mathematical treatment of diverse problems in thegeneral domain of robotics and associated fields using Clifford or geometric algebra. 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 examples to help readers learn how to compute using geometric entities and geometric 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 Hamiltonians 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 computing, 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 researchersroboticists and mechanical and electrical engineers, the book clarifies and demonstrates the importance of geometric computing for building autonomous systemsto advance cognitive systems research.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 632 pp. Englisch. Seller Inventory # 9783030349769

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