Numerical Calculations in Clifford Algebra

NUMERICAL CALCULATIONS IN CLIFFORD ALGEBRA

An intuitive combination of the theory of Clifford algebra with numerous worked and computed examples and calculations

Numerical Calculations in Clifford Algebra: A Practical Guide for Engineers and Scientists is an accessible and practical introduction to Clifford algebra, offering comprehensive coverage of the theory and calculations. The book features numerous worked and computed examples at various levels of complexity across a range of applications, making extensive use of diagrams to maintain clarity. The author introduces and documents the Clifford Numerical Suite, designed to overcome the limitations of existing computational packages and enable the rapid creation and deployment of sophisticated and efficient code.

Applications of the suite include Fourier transforms for arrays of any types of Clifford numbers and the solution of linear systems where the coefficients are particular types of Clifford numbers, including scalars, bicomplex numbers, quaternions, Pauli matrices, and extended electromagnetic fields. Readers will find:

• A thorough introduction to Clifford algebra, with a combination of theory and practical implementation in a range of engineering problems
• Comprehensive explorations of a variety of worked and computed examples at various levels of complexity
• Practical discussions of the conceptual and computational tools for solving common engineering problems
• Detailed documentation on the deployment and application of the Clifford Numerical Suite

Perfect for engineers, researchers, and academics with an interest in Clifford algebra, Numerical Calculations in Clifford Algebra: A Practical Guide for Engineers and Scientists will particularly benefit professionals in the areas of antenna design, digital image processing, theoretical physics, and geometry.