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 Carathodory'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.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
