Foundations of Geometric Algebra Computing (Geometry and Computing)

Foundations of Geometric Algebra Computing (Geometry and Computing)


The writer defines “Geometric Algebra Computing” because the geometrically intuitive improvement of algorithms utilizing geometric algebra with a spotlight on their effective implementation, and the objective of this e-book is to put the principles for the common use of geometric algebra as a strong, intuitive mathematical language for engineering purposes in academia and undefined. The similar expertise is pushed via the discovery of conformal geometric algebra as a 5D extension of the 4D projective geometric algebra and by way of the hot growth in parallel processing, and with the explicit conformal geometric algebra there's a growing to be group in recent times using geometric algebra to functions in computing device imaginative and prescient, special effects, and robotics.

This e-book is geared up into 3 elements: partially I the writer makes a speciality of the mathematical foundations; partly II he explains the interactive dealing with of geometric algebra; and partially III he bargains with computing know-how for high-performance implementations in response to geometric algebra as a domain-specific language in general programming languages comparable to C++ and OpenCL. The booklet is written in an educational variety and readers may still achieve adventure with the linked freely on hand software program applications and applications.

The publication is acceptable for college students, engineers, and researchers in laptop technology, computational engineering, and arithmetic.

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