examines problems in robotics in terms of modern geometry. After a brief survey of some basic notions in algebraic and differential geometry, Lie groups and Lie algebras, simple examples from robotics are given to introduce some powerful methods; geometric ideas are then applied to more serious problems encountered in the design and construction of robotics. This elegant work will serve graduate students and researchers in a variety of areas, notably mechanical engineering, computer engineering, and applied mathematics. It is also an invaluable reference text.
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Provides an elegant introduction to the geometric concepts that are important to applications in robotics * Includes significant state-of-the art material that reflects important advances, connecting robotics back to mathematical fundamentals in group theory and geometry * An invaluable reference that serves a wide audience of grad students and researchers in mechanical engineering, computer science, and applied mathematics
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