Download E-books Guide to Geometric Algebra in Practice PDF

By Anthony Lasenby, Robert Lasenby, Chris Doran (auth.), Leo Dorst, Joan Lasenby (eds.)

Geometric algebra (GA), often referred to as Clifford algebra, is a robust unifying framework for geometric computations that extends the classical thoughts of linear algebra and vector calculus in a structural demeanour. Its advantages comprise purifier computer-program ideas for identified geometric computation projects, and the power to handle an increasing number of concerned applications.

This hugely useful Guide to Geometric Algebra in Practice experiences algebraic concepts for geometrical difficulties in desktop technological know-how and engineering, and the relationships among them. the subjects lined diversity from strong new theoretical advancements, to winning purposes, and the advance of latest software program instruments. Contributions are integrated from a global neighborhood of specialists spanning a wide diversity of disciplines.

Topics and features:

  • Provides hands-on evaluation routines through the publication, including worthy bankruptcy summaries
  • Presents a concise introductory educational to conformal geometric algebra (CGA)
  • Examines the appliance of CGA for the outline of inflexible physique movement, interpolation and monitoring, and photograph processing
  • Reviews the employment of GA in theorem proving and combinatorics
  • Discusses the geometric algebra of traces, lower-dimensional algebras, and different choices to 5-dimensional CGA
  • Proposes purposes of coordinate-free equipment of GA for differential geometry

This finished guide/reference is vital interpreting for researchers and execs from a huge variety of disciplines, together with special effects and online game layout, robotics, machine imaginative and prescient, and sign processing. furthermore, its tutorial content material and procedure makes it appropriate for path use and scholars who have to research the worth of GA techniques.

Dr. Leo Dorst is Universitair Docent (tenured assistant professor) within the college of Sciences, college of Amsterdam, The Netherlands. Dr. Joan Lasenby is collage Senior Lecturer within the Engineering division of Cambridge collage, U.K.

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