Description
Book Synopsis: An introduction to the mathematics used to model the articulated movement of mechanisms, machines, robots, and human and animal skeletons. Its concise and readable format emphasizes the similarity of the mathematics for planar, spherical and spatial movement. A modern approach introduces Lie groups and algebras and uses the theory of multivectors and Clifford algebras to clarify the construction of screws and dual quaternions. The pursuit of a unified presentation has led to a format in which planar, spherical, and spatial mechanisms are all studied in each chapter. This is different from the usual organization which studies each class, separately. This new format highlights the similarity of the mathematical results that apply to each class of mechanism. This is of particular value in the study of spatial mechanisms where understanding of what can become complicated mathematical relations can be guided by intuition gained from the study of the planar and spherical cases.
Details
Are you interested in the intricate mathematics behind the movement of mechanisms, machines, robots, and even skeletons? Look no further! Introducing Theoretical Kinematics - a comprehensive book that will take you on a journey through the fascinating world of mathematical modeling for articulated movement.
Our concise and readable format makes learning easy and enjoyable. We emphasize the similarity of mathematical concepts across planar, spherical, and spatial movement, allowing you to grasp the underlying principles with ease. No more struggling to understand different theories for different mechanisms!
One of the highlights of this book is its modern approach. We introduce concepts such as Lie groups and algebras, multivectors, and Clifford algebras to provide you with a comprehensive understanding of the construction of screws and dual quaternions. By incorporating these cutting-edge theories, we ensure that you receive the most up-to-date knowledge in theoretical kinematics.
Unlike other textbooks, we present a unified format where planar, spherical, and spatial mechanisms are all studied in each chapter. This unique organization brings to light the similarities among different classes of mechanisms, giving you a deeper appreciation for the mathematical results that apply to each. It's like unlocking a hidden code that reveals the fundamental principles governing movement.
Don't let complicated mathematical relations discourage you from exploring the world of spatial mechanisms. Our approach will guide you through the intricacies, building your intuition based on the solid foundation gained from studying the simpler planar and spherical cases. With Theoretical Kinematics, you'll not only understand complex mathematical concepts, but also appreciate the practical applications of these principles in real-world scenarios.
Don't miss out on this opportunity to delve into the captivating world of Theoretical Kinematics. Expand your knowledge and understanding with a single click. Get your copy now!
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