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New Foundations for Classical
Mechanics
Hestenes, D
Dordrecht: Springer Netherlands 1986
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Título:
New Foundations for Classical
Mechanics
Autor:
Hestenes, D
Assuntos:
Applications of Mathematics
;
Astronomy, Observations and Techniques
;
Classical
Mechanics
;
Mathematics
;
Mechanics
Descrição:
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 efficient than vector algebra, while in other applica tions matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the
mechanics
of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics.
Títulos relacionados:
Fundamental Theories of Physics
Editor:
Dordrecht: Springer Netherlands
Data de criação/publicação:
1986
Formato:
655
Idioma:
Inglês
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