#### 915 Citations

Double conformal space-time algebra

- Mathematics
- 2016

The Double Conformal Space-Time Algebra (DCSTA) is a high-dimensional 12D Geometric Algebra G4,8that extends the concepts introduced with the Double Conformal / Darboux Cyclide Geometric Algebra… Expand

Geometric Calculus -- Engineering Mathematics for the 21st century

- Mathematics
- 2002

This paper treats important questions at the interface of mathematics and the engineering sciences. It starts off with a quick quotation tour through 2300 years of mathematical history. At the… Expand

Geometric Calculus of the Gauss Map

- Mathematics
- 2017

In this paper we connect classical differential geometry with the concepts from geometric calculus. Moreover, we introduce and analyze a more general Laplacian for multivector-valued functions on… Expand

Applications of the Clifford algebra valued boundary element method to electromagnetic scattering problems

- Mathematics
- 2016

Abstract Electromagnetic problems governed by Maxwell's equations are solved by using a Clifford algebra valued boundary element method (BEM). The well-known Maxwell's equations consist of eight… Expand

Delaunay Triangulation Validation Using Conformal Geometric Algebra

- Computer Science
- Computación y Sistemas
- 2016

This paper focuses on the use of the Conformal Geometric Algebra (CGA) to perform validation of Delaunay triangulation, and includes a mathematical environment change to show the advantages of using CGA’s geometric entities and use them inside a module for validating the triangulating. Expand

Validación de la triangulación Delaunay empleando algebra geométrica conforme

- Mathematics
- 2016

When Delaunay triangulation is performed in an incremental fashion, different steps are involved in the process. Within those steps “reconstruction” is the most important stage when a new point is… Expand

Classical field theories from Hamiltonian constraint: Canonical equations of motion and local Hamilton-Jacobi theory

- Mathematics, Physics
- 2015

Classical field theory is considered as a theory of unparametrized surfaces embedded in a configuration space, which accommodates, in a symmetric way, spacetime positions and field values. Dynamics… Expand

Basic Multivector Calculus

- Mathematics
- 2013

We begin with introducing the generalization of real, complex, and quaternion numbers to hypercomplex numbers, also known as Clifford numbers, or multivectors of geometric algebra. Multivectors… Expand

Geometric Calculus for Engineers

- Computer Science
- 2013

It is argued that this role is very likely to be played by (universal) geometric calculus, and the fundamental geometric product of vectors is introduced. Expand

Introduction to Clifford's Geometric Algebra

- Mathematics, Computer Science
- 2013

This tutorial explains the basics of geometric algebra, with concrete examples of the plane, of 3D space, of spacetime, and the popular conformal model. Expand