Geometry of Electrodynamics

ANSYS - the universal program system for the finite element method (FEM) analysis, the existing and evolving over the past 30 years, is quite popular among the specialists in the field of computer engineering (CAE, Computer-Aided Engineering) and CE solutions of linear and nonlinear, stationary and unsteady three-dimensional problems of solid mechanics and mechanics of structures, including non-stationary geometrically and physically nonlinear problems of contact interaction of structural elements, tasks, gas and fluid mechanics, heat transfer and heat transfer, electrodynamics, acoustics, and mechanics-related fields. Modeling and analysis in some areas of the industry to avoid costly and lengthy development cycles such as "design - manufacture - test". The system operates on the basis of the geometric kernel Parasolid.

Since its invention, geometric algebra has been applied to various branches of physics such as cosmology and electrodynamics, and is now being embraced by the computer graphics community where it is providing new ways of solving geometric problems. It took over two thousand years to discover this algebra, which uses a simple and consistent notation to describe vectors and their products.

The goal of this book is to present a unified mathematical treatment of diverse problems in mathematics, physics, computer science, and engineer­ ing using geometric algebra. Geometric algebra was invented by William Kingdon Clifford in 1878 as a unification and generalization of the works of Grassmann and Hamilton, which came more than a quarter of a century before.