000			04520cam a2200925 i 4500
001			on1226522028
003			OCoLC
005			20220908100227.0
006			m o d
007			cr cnu---unuuu
008			201211s1996 njua ob 001 0 eng d
040			_aJSTOR _beng _erda _epn _cJSTOR _dOCLCO _dOCLCQ _dIEEEE _dOCLCO
020			_a9780691221830 _q(electronic bk.)
020			_a0691221839 _q(electronic bk.)
020			_z0691027439
020			_z9780691027432
020			_z0691005451
020			_z9780691005454
029	1		_aAU@ _b000068434231
035			_a(OCoLC)1226522028
037			_a22573/ctv17349pz _bJSTOR
037			_a9507066 _bIEEE
050		4	_aQB362.M3 _bD53 1996eb
055	1	2	_aQB362*
072		7	_acoll1 _2lacc
072		7	_aMAT _x003000 _2bisacsh
080			_a5(09):521.1
082	0	4	_a521 _222
084			_a30.20 _2bcl
084			_a31.01 _2bcl
084			_a33.06 _2bcl
084			_a33.10 _2bcl
084			_a39.23 _2bcl
084			_acci1icc _2lacc
084			_acoll1 _2lacc
084			_a*37-01 _2msc
084			_a01A05 _2msc
084			_a37C75 _2msc
084			_a37D45 _2msc
084			_a70-01 _2msc
084			_a70F15 _2msc
084			_a16,12 _2ssgn
049			_aMAIN
100	1		_aDiacu, Florin, _d1959-2018. _965757
245	1	0	_aCelestial encounters : _bthe origins of chaos and stability / _cFlorin Diacu and Philip Holmes.
264		1	_aPrinceton, N.J. : _bPrinceton University Press, _c�1996.
300			_a1 online resource (xv, 233 pages) : _billustrations
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
504			_aIncludes bibliographical references (pages 213-224) and index.
505	0	0	_g[ch]. 1. _tGreat discovery: and a mistake -- _g[ch]. 2. _tSymbolic dynamics -- _g[ch]. 3. _tCollisions and other singularities -- _g[ch]. 4. _tStability -- _g[ch]. 5. _tKAM theory.
520			_aCelestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888, the 34-year-old Henri Poincare submitted a paper that was to change the course of science, but not before it underwent significant changes itself. "The Three-Body Problem and the Equations of Dynamics" won a prize sponsored by King Oscar II of Sweden and Norway and the journal Acta Mathematica, but after accepting the prize, Poincare found a serious mistake in his work. While correcting it, he discovered the phenomenon of chaos. Starting with the story of Poincare's work, Florin Diacu and Philip Holmes trace the history of attempts to solve the problems of celestial mechanics first posed in Isaac Newton's Principia in 1686. In describing how mathematical rigor was brought to bear on one of our oldest fascinations--the motions of the heavens--they introduce the people whose ideas led to the flourishing field now called nonlinear dynamics. In presenting the modern theory of dynamical systems, the models underlying much of modern science are described pictorially, using the geometrical language invented by Poincare
588	0		_aPrint version record.
590			_aIEEE _bIEEE Xplore Princeton University Press eBooks Library
650		0	_aMany-body problem. _965758
650		0	_aChaotic behavior in systems. _94594
650		0	_aCelestial mechanics. _965759
650		6	_aProbl�eme des N corps. _965760
650		6	_aChaos. _965338
650		6	_aM�ecanique c�eleste. _965761
650		7	_aMATHEMATICS _xApplied. _2bisacsh _95811
650		7	_aCelestial mechanics. _2fast _0(OCoLC)fst00850133 _965759
650		7	_aChaotic behavior in systems. _2fast _0(OCoLC)fst00852171 _94594
650		7	_aMany-body problem. _2fast _0(OCoLC)fst01008543 _965758
650	1	7	_aHemelmechanica. _2gtt _965762
650	1	7	_aVeel-deeltjes-systemen. _2gtt _965763
650		7	_aChaotic behavior in systems. _2nli _94594
650		7	_aCelestial mechanics. _2nli _965759
650		7	_aMany-body problem. _2nli _965758
650		7	_aProbl�eme des N corps. _2ram _965760
650		7	_aChaos (th�eorie des syst�emes) _2ram _965764
650		7	_aM�ecanique c�eleste. _2ram _965761
655		4	_aElectronic books. _93294
700	1		_aHolmes, Philip, _d1945- _965765
776	0	8	_iPrint version: _aDiacu, Florin, 1959-2018. _tCelestial encounters. _dPrinceton, N.J. : Princeton University Press, �1996 _z0691027439 _w(DLC) 96000108 _w(OCoLC)34114833
856	4	0	_uhttps://ieeexplore.ieee.org/servlet/opac?bknumber=9507066
942			_cEBK
994			_a92 _bINTKS
999			_c81507 _d81507