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Geomatric Algebra Applications Vol. II

Robot Modelling and Control

Authors: Bayro-Corrochano, Eduardo

  • 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 figures and simulation results
  • Step by step using examples encourages readers to learn how to model, design algorithms for modern applications in the area of robotics
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Buy this book

eBook 118,99 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: February 1, 2020
  • ISBN 978-3-030-34978-3
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 145,59 €
price for Spain (gross)
  • Due: February 1, 2020
  • ISBN 978-3-030-34976-9
  • Free shipping for individuals worldwide
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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. The Euler 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.

Buy this book

eBook 118,99 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: February 1, 2020
  • ISBN 978-3-030-34978-3
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 145,59 €
price for Spain (gross)
  • Due: February 1, 2020
  • ISBN 978-3-030-34976-9
  • Free shipping for individuals worldwide
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Geomatric Algebra Applications Vol. II
Book Subtitle
Robot Modelling and Control
Authors
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-34978-3
DOI
10.1007/978-3-030-34978-3
Hardcover ISBN
978-3-030-34976-9
Edition Number
1
Number of Pages
XXVI, 546
Number of Illustrations
60 b/w illustrations, 166 illustrations in colour
Topics