000			03817cam a22004815i 4500
001			11324132
003			OSt
005			20150914144936.0
006			m d
007			cr n
008			121227s1999 xxu| s |||| 0|eng d
020			_a9780387987378 (Hb) _cEuro 9.99
020			_a9781461271567 (print)
024	7		_a10.1007/978-1-4612-1472-4 _2doi
035			_a(WaSeSS)ssj0001298949
040			_dWaSeSS _cIISERB
050		4	_aQA273.A1-274.9
050		4	_aQA274-274.9
072		7	_aPBT _2bicssc
072		7	_aPBWL _2bicssc
072		7	_aMAT029000 _2bisacsh
082	0	4	_a519.2 B419W _223
100	1		_aBeltrami, Edward. _95458
210	1	0	_aWhat Is Random?
222			_aMathematics Collection
245	1	0	_aWhat Is Random? _bChance and Order in Mathematics and Life _cby Edward Beltrami.
260			_aNew York: _bSpringer Science + Business, _c1999.
300			_axx, 201p.
505	0		_a[1] The Taming of Chance -- From Unpredictable to Lawful -- Probability -- Order in the Large -- The Normal Law -- Is It Random? -- More About the Law of Large Numbers -- Where We Stand Now -- [2] Uncertainty and Information -- Messages and Information -- Entropy -- Messages, Codes, and Entropy -- Approximate Entropy -- Again, Is It Random? -- The Perception of Randomness -- [3] Janus-Faced Randomness -- Is Determinism an Illusion? -- Generating Randomness -- Janus and the Demons -- [4] Algorithms, Information, and Chance -- Algorithmic Randomness -- Algorithmic Complexity and Undecidability -- Algorithmic Probability -- [5] The Edge of Randomness -- Between Order and Disorder -- Self-Similarity and Complexity -- What Good is Randomness? -- Sources and Further Readings -- Technical Notes -- Appendix A: Geometric Sums -- Appendix B: Binary Numbers -- Appendix C: Logarithims -- References.
506			_aLicense restrictions may limit access.
520			_a(Not for distribution) We all know what randomness is. We sometimes choose between options "at random", and if we toss a coin we know it will land heads or tails at random. But are events like these truly random? Randomness turns out to be one of those concepts, like "solid matter" in physics, that works just fine on an everyday level but mysteriously disappears once we move in to examine its fine structure. In this fascinating book, mathematician Ed Beltrami takes a close enough look at randomness to make it mysteriously disappear. The results of coin tosses, it turns out, are determined from the start, and only our incomplete knowledge makes them look random. "Random" sequences of numbers are more elusive--they may be truly random, but Godel's undecidability theorem informs us that we'll never know. Their apparent randomness may be only a shortcoming of our minds. Mathematicians have even discovered a string of numbers that appears random--but when you reverse the string, it's completely deterministic! People familiar with quantum indeterminacy tell us that order is an illusion, and that the world is fundamentally random. Yet randomness is also an illusion. Then which is real? Perhaps order and randomness, like waves and particles, are only two sides of the same coin.
650		0	_aMathematics. _95459
650		0	_aDistribution (Probability theory). _95460
650	1	4	_aMathematics. _95459
650	2	4	_aProbability Theory and Stochastic Processes. _95461
710	2		_aSpringerLink (Online service) _95462
773	0		_tSpringer eBooks
773		0	_tSpringerLink ebooks - Mathematics and Statistics (Archive)
776	0	8	_iPrinted edition: _z9781461271567
856	4	0	_uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio11324132 _zFull text available from SpringerLink ebooks - Mathematics and Statistics (Archive)
910			_aVendor-generated brief record
942			_2ddc _cBK
999			_c6807 _d6807