In this paper, the technique of conceptual modeling using the Unified Model-ing Language (UML), is applied to the mathematical field known as Geometric Algebra for probably the first time. Geometric Algebra is a unified language for analyzing the full range of geometric concepts in mathematics and physics, first developed by H. Grassmann and W. K. Clifford, and later revitalized by D. Hestenes. A thorough introduction to the field of Geometric Algebra is given, with accompanying conceptual models. Examples of the technique of multiple narration, where the same model is used to tell different stories, are analyzed. The specific problems and advantages of using UML as a visual language for a conceptually rich mathematical communication are di...
Being so well structured, mathematics lends itself well to interesting interactive presentation. Now...
What mathematicians often call Clifford algebra is called geometric algebra if the focus is on the g...
AbstractRecently, the use of multiple representations in teaching math has gained great importance. ...
The goal of this book is to present a unified mathematical treatment of diverse problems in mathemat...
This paper describes why and how to build Content Dictionaries for Geometric Algebra implementing in...
This book enables the reader to discover elementary concepts of geometric algebra and its applicatio...
This book presents contributions from a global selection of experts in the field. This useful text o...
(The current version is always available at my web page.) The principal argument for the adoption of...
Geometric Modeling is an area drawing from computer science, mathematics, engineering, and the life ...
Abstract: The present paper attempts to bridge the world of digital technology and the world Euclid ...
Geometric algebra is a powerful mathematical framework which enables one to formulate and compute ge...
International audienceThis paper presents the design and implementation of a geometric-object-orient...
This thesis deals with computing in geometric algebra and its illustration in software CLUCalc. Firs...
Geometric algebra is an universal mathematical language which provides very comprehensive techniques...
A comprehensive, up-to-date presentation of all the indispensable core concepts of geometric modelli...
Being so well structured, mathematics lends itself well to interesting interactive presentation. Now...
What mathematicians often call Clifford algebra is called geometric algebra if the focus is on the g...
AbstractRecently, the use of multiple representations in teaching math has gained great importance. ...
The goal of this book is to present a unified mathematical treatment of diverse problems in mathemat...
This paper describes why and how to build Content Dictionaries for Geometric Algebra implementing in...
This book enables the reader to discover elementary concepts of geometric algebra and its applicatio...
This book presents contributions from a global selection of experts in the field. This useful text o...
(The current version is always available at my web page.) The principal argument for the adoption of...
Geometric Modeling is an area drawing from computer science, mathematics, engineering, and the life ...
Abstract: The present paper attempts to bridge the world of digital technology and the world Euclid ...
Geometric algebra is a powerful mathematical framework which enables one to formulate and compute ge...
International audienceThis paper presents the design and implementation of a geometric-object-orient...
This thesis deals with computing in geometric algebra and its illustration in software CLUCalc. Firs...
Geometric algebra is an universal mathematical language which provides very comprehensive techniques...
A comprehensive, up-to-date presentation of all the indispensable core concepts of geometric modelli...
Being so well structured, mathematics lends itself well to interesting interactive presentation. Now...
What mathematicians often call Clifford algebra is called geometric algebra if the focus is on the g...
AbstractRecently, the use of multiple representations in teaching math has gained great importance. ...