By D. Hestenes
This booklet presents an creation to geometric algebra as a unified language for physics and arithmetic. It comprises broad functions to classical mechanics in a textbook structure compatible for classes at an intermediate point. The textual content is supported through greater than 2 hundred diagrams to aid improve geometrical and actual instinct. along with protecting the traditional fabric for a path at the mechanics of debris and inflexible our bodies, the ebook introduces new, coordinate-free equipment for rotational dynamics and orbital mechanics, constructing those topics to a degree way past that of alternative textbooks. those tools were broadly utilized lately to biomechanics and robotics, to desktop imaginative and prescient and geometric layout, to orbital mechanics in executive and business house courses, in addition to to different branches of physics. The publication applies them to the foremost perturbations within the sun method, together with the planetary perturbations of Mercury's perihelion. Geometric algebra integrates traditional vector algebra (along with its proven notations) right into a process with all of the merits of quaternions and spinors. hence, it raises the ability of the mathematical language of classical mechanics whereas bringing it toward the language of quantum mechanics. This ebook systematically develops in simple terms mathematical functions of geometric algebra valuable in physics, together with wide purposes to linear algebra and transformation teams. It comprises enough fabric for a path on mathematical subject matters by myself. the second one variation has been accelerated by way of approximately 100 pages on relativistic mechanics. The remedy is exclusive in its specific use of geometric algebra and in its particular therapy of spacetime maps, collisions, movement in uniform fields and relativistic precession. It conforms with Einstein's view that the specific concept of Relativity is the end result of advancements in classical mechanics.