Mohlo by se vám také líbit

Více informací o knize Geometry Of Nonholonomically Constrained Systems

• Parametry knihy
• Anotace
• Oblíbené z jiného soudku

Nákupem získáte 466 bodů

Anotace knihy

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 Caratheodory'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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Geometry

• Plný název: Geometry Of Nonholonomically Constrained Systems
• Autor: Richard H. Cushman, Jedrzej Sniatycki, Hans Duistermaat
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 424
• EAN: 9789814289481
• ISBN: 9814289485
• ID: 05069909
• Nakladatelství: World Scientific Publishing Co Pte Ltd
• Hmotnost: 764 g
• Rozměry: 236 × 161 × 23 mm
• Datum vydání: 11. December 2009

Oblíbené z jiného soudku

---

---

---