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New Foundations for Classical Mechanics (geometric algebra) David Hestenes
Publisher: Kluwer

Hestenes: New Foundations for Classical Mechanics, Second Edition (Kluwer, Dordrecht, 1999). Sobczyk: Clifford Algebra to Geometric Calculus (Reidel, Dordrecht, 1984). This marked the beginning of a new approach to geometry. But we will obtain Einstein's Principle of Equivalence is generalized to a gauge principle that provides the foundation for a new formulation of General Relativity as a Gauge Theory of Gravity on a curved spacetime manifold. Just this morning in a German financial news paper, a commentator was indulging in how the Asians and the Africans will now rule the world these days (what is it with this rule the world thing on this planet? New Foundations for Classical Mechanics (geometric algebra). New Foundations for Classical Mechanics (geometric algebra) by David Hestenes. I quote the prologue to David Hestenes' Primer on Geometric Algebra for introductory mathematics and physics. The new David Hestenes has advanced the geometric algebra approach to provide new insight into a wide range of physical topics from classical mechanics and electromagnetism, to Quantum Mechanics and gauge theory. The very fact that general relativity, classical mechanics, and quantum mechanics can be efficiently described in the geometric algebra is a deep hint that this branch of mathematics is a natural one to explore a unification of the forces. More generally, there is a tendency for older faculty to deplore what they perceive to be a big decline in the mathematical abilities of their students, but my experience is that the students are adequately capable of algebraic manipulation and even calculus . Not sure I get you - are you implying that general relativity is a more intuitive theory then classical mechanics? His presentation described the foundations of his geometric calculus devoid of coordinates and metric properties. Hestenes, New Foundations for Classical Physics (Kluwer, Dordrecht, 1986, 2nd ed. Limits, continuity, differentiation, integration.