Geometry of Nonholonomically Constrained Systems is popular PDF and ePub book, written by Richard H. Cushman in 2010, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Geometry of Nonholonomically Constrained Systems can be Read Online from any device for your convenience.
Geometry of Nonholonomically Constrained Systems Book PDF Summary
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.
Detail Book of Geometry of Nonholonomically Constrained Systems PDF
- Author : Richard H. Cushman
- Release : 21 September 2024
- Publisher : World Scientific
- ISBN : 9789814289481
- Genre : Mathematics
- Total Page : 421 pages
- Language : English
- PDF File Size : 20,7 Mb
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