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GEOMETRY OF NONHOLONOMICALLY CONS..(V26)

By Al Richard Cushman Et

GEOMETRY OF NONHOLONOMICALLY CONS..(V26) Mathematics

GEOMETRY OF NONHOLONOMICALLY CONS..(V26)

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Description
This book gives a modern differential geometric treatment of linearly nonholonomically constrained systems. It discusses in detail what is meant by symmetry of such a system and gives a general theory of how to reduce such a symmetry using the concept of a differential space and the almost Poisson bracket structure of its algebra of smooth functions. The above theory is applied to the concrete example of Carathéodory's sleigh and the convex rolling rigid body. The qualitative behavior of the motion of the rolling disk is treated exhaustively and in detail. In particular, it classifies all motions of the disk, including those where the disk falls flat and those where it nearly falls flat.The geometric techniques described in this book for symmetry reduction have not appeared in any book before. Nor has the detailed description of the motion of the rolling disk. In this respect, the authors are trail-blazers in their respective fields.
Product details
Edition:
illustrated
Number of Pages:
422
Release Date:
2009-12-01
Publication Date:
2009-12-01
Publisher:
World Scientific
Languages:
Original: English
ISBN10:
9814289485
ISBN13:
9789814289481
Weight:
759 g
Height:
157 cm
Width:
235 cm
Thickness:
27 cm
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