New Foundations for Classical Mechanics

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Geometric algebra serves as a new mathematical framework for understanding classical mechanics, integrating vector, complex number, and matrix algebras into a cohesive system. This textbook covers standard mechanics topics while revealing new insights and simplifications through geometric algebra, advancing the study of rotational dynamics and celestial mechanics beyond typical levels. The approach not only enhances comprehension but also introduces powerful capabilities, making it a unique resource for intermediate students in physics.