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New Foundations for Classical Mechanics - David Hestenes - Google Books
(revised) This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. New Foundations for Classical Mechanics | SpringerLink. View D. Hestenes New Foundations for Classical blogger.com from CM PHYS 89 at Amirkabir University of Technology. New Foundations for Classical Mechanics (Second . (revised) This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the.
New foundations for classical mechanics hestenes pdf download
This book provides an introduction to geometric algebra as a unified language for physics and mathematics. It contains extensive applications to classical mechanics in a textbook format suitable for courses at an intermediate level. The text is supported by more than diagrams to help develop geometrical and physical intuition. Besides covering the standard material for a course on the mechanics of particles and rigid bodies, the book introduces new, coordinatefree methods for rotational dynamics and orbital mechanics, developing these subjects to a level well beyond that of other textbooks.
These methods have been widely applied in recent years to biomechanics and robotics, to computer vision and geometric design, to orbital mechanics in government and industrial space programs, as well as to other branches of physics.
The book applies them to the major perturbations in the solar system, including the planetary perturbations of Mercury's perihelion. Geometric algebra integrates conventional vector algebra along with its established notations into a system with all the advantages of quaternions and spinors. Thus, new foundations for classical mechanics hestenes pdf download, it increases the power of the mathematical language of classical mechanics while bringing it closer to the language of quantum mechanics.
This book systematically develops purely mathematical applications of geometric algebra useful in physics, including extensive applications to linear algebra and transformation groups. It contains sufficient material for a course on mathematical topics alone. The second edition has been expanded by nearly a hundred pages on relativistic mechanics.
The treatment is unique in its exclusive use of geometric algebra and in its detailed treatment of spacetime maps, collisions, motion in uniform fields and relativistic precession. It conforms with Einstein's view that the Special Theory of Relativity is the culmination of developments in classical mechanics.
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Classical Mechanics - Lecture 1
, time: 1:29:11New foundations for classical mechanics hestenes pdf download
This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more. Update, 9 December Don't miss Alan Macdonald's Linear and Geometric Algebra, which is recommended enthusiastically by Hestenes. Although New Foundations for Classical Mechanics (NFCM) is primarily a physics book, it's also intended to demonstrate the usefulness of geometric algebra (GA) in solving any sort of problem whose data and unknowns can be formulated as blogger.com by: (revised) This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. New Foundations for Classical Mechanics | SpringerLink.
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