Free BookGeometry of Nonholonomically Constrained Systems (Nonlinear Dynamics) (Advanced Series in Nonlinear Dynamics)

[Read.py8i] Geometry of Nonholonomically Constrained Systems (Nonlinear Dynamics) (Advanced Series in Nonlinear Dynamics)

[Read.py8i] Geometry of Nonholonomically Constrained Systems (Nonlinear Dynamics) (Advanced Series in Nonlinear Dynamics)

You can download in the form of an ebook: pdf, kindle ebook, ms word here and more softfile type. [Read.py8i] Geometry of Nonholonomically Constrained Systems (Nonlinear Dynamics) (Advanced Series in Nonlinear Dynamics), this is a great books that I think are not only fun to read but also very educational.
Book Details :
Published on: 2009-12-01
Released on:
Original language: English

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.
Read BookAfghanistan and the Afghans Being a Brief Review of the History of the Country and Account of Its People with a Special Reference to the Present Crisis and War with the Amir Sher Ali Khan