MARC Record from harvard_bibliographic_metadata

LEADER: 02239cam a2200361 a 4500
001 012258334-5
005 20100415091802.0
008 090622s2010 si a b 001 0 eng
010 $a 2009024384
020 $a9789814289481 (hardcover : alk. paper)
020 $a9814289485 (hardcover : alk. paper)
035 0 $aocn410223593
040 $aDLC$cDLC$dYDX$dYDXCP$dBWX$dIXA
050 00 $aQA614.833$b.C87 2010
082 00 $a516.3/6$222
100 1 $aCushman, Richard H.,$d1942-
245 10 $aGeometry of nonholonomically constrained systems /$cRichard Cushman, Hans Duistermaat, Jędrzej Śniatycki.
260 $aSingapore ;$aHackensack, NJ :$bWorld Scientific,$cc2010.
300 $axvi, 404 p. :$bill. ;$c24 cm.
490 1 $aAdvanced series in nonlinear dynamics ;$vv. 26
504 $aIncludes bibliographical references (p. 387-393) and index.
520 1 $a"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."--Jacket.
650 0 $aNonholonomic dynamical systems.
650 0 $aGeometry, Differential.
650 0 $aRigidity (Geometry)
650 0 $aCaratheodory measure.
700 1 $aDuistermaat, Hans.
700 1 $aŚniatycki, Jędrzej.
700 1 $aDuistermaat, J. J.$q(Johannes Jisse),$d1942-
830 0 $aAdvanced series in nonlinear dynamics ;$vv. 26.
988 $a20100330
049 $aCLSL
906 $0DLC