Physics and Mechanics use Geometric Algebra

Abstract

This paper offers a comprehensive overview of geometric algebra. The goal is to impart comprehension of fundamental principles and the practical application of geometric algebra in physics and mechanics. Geometric algebra is a mathematical discipline that explores the interplay between algebraic concepts and geometric principles. The fields of physics and mechanics utilize this relation to mathematically represent and address geometry-rooted problems. In this discussion, we will explore various categories of geometric algebra, delve into the principles of analysis, and examine the fundamental concepts surrounding bivectors, trivectors, and multivectors. In this section, we will discuss the application of geometric algebra in physics and mechanics, specifically focusing on the geometric algebra of 3-D space, including rotations, reflections, and other related concepts. By doing this, we will develop a thorough understanding of how we can apply geometric algebra to resolve fascinating physical problems in the fields of geometry and mechanics.