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Rational Kinematics (Paperback, Softcover reprint of the original 1st ed. 1988)
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Rational Kinematics (Paperback, Softcover reprint of the original 1st ed. 1988)
Series: Springer Tracts in Natural Philosophy, 34
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A rational study of kinematics is a treatment of the subject based
on invariants, i.e., quantities that remain essentially unchanged
under a change of observer. An observer is understood to be a
reference frame supplied with a clock (Truesdell 1966). This study
will therefore include an introduction to invariants. The language
of these is tensor analysis and multilinear algebra, both of which
share many isomorphic relations, These subjects are treated in full
detail in Ericksen (1960) and Bowen and Wang (1976), and hence will
not be included here. Only a short account of notation and
definitions will be presented. Moreover, definitions and basic
concepts pertaining to the kinematics of rigid bodies will be also
included. Although the kinematics of rigid bodies can be regarded
as a particular case of the kinematics of continua, the former
deserves attention on its own merits for several reasons. One of
these is that it describes locally the motions undergone by
continua. Another reason is that a whole area of mechanics, known
as classical dynamics, is the study of the motions undergone by
particles, rigid bodies, and systems thereof.
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