000			03215cam a2200373 a 4500
999			_c32245 _d32245
001			15932057
003			OSt
005			20200319110628.0
008			091005s2010 nyua b 001 0 eng
010			_a 2009039196
020			_a9781591027737 (cloth : alk. paper)
020			_a159102773X (cloth : alk. paper)
035			_a(OCoLC)ocn318873024
040			_aDLC _coclc _dBTCTA _dLMR _dC#P _dYDXCP _dBWX _dCDX _dABG _dMOF _dDLC
043			_aa-iq--- _af-ua---
050	0	0	_aQA22 _b.R859 2010
082	0	0	_a510.935 _222 _bRUD/B
100			_aRudman, Peter Strom _92072
245	1	4	_aThe Babylonian theorem : _bthe mathematical journey to Pythagoras and Euclid / _cPeter S. Rudman.
260			_aAmherst, N.Y. : _bPrometheus Books, _c2010.
300			_a248 p. : _bill. ; _c24 cm.
500			_aSequel to: How mathematics happened, the first 50,000 years. 2007.
504			_aIncludes bibliographical references (p. 233-243) and index.
505	0		_aNumber system basics -- Egyptian numbers and arithmetic -- Babylonian numbers and arithmetic -- Old Babylonian "quadratic algebra" problem texts. YBC 6967 ; AO 8862 ; Db₂ 146 ; VAT 8512 -- Pythagorean triples. OB problem text BM 85196 #9 ; Berlin Papyrus 6610 #1 ; Proto-Plimpton 322 ; Plimpton 322 -- Square root calculations. Egyptian calculation ; OB problem text YBC 7289 ; OB squaring-the-rectangle (Heron's method) ; OB cut-and-paste square root (Newton's method) ; Pythagoras calculates square roots ; Archimedes calculates square roots ; Ptolemy calculates square roots --PI [mathematical symbol for Pi]. RMP problems 48 and 50 ; OB problem text YBC 7302 ; A scribe from Susa calculates [Pi] (ca. 2000 BCE) ; Archimedes calculates [Pi] (ca. 200 BCE) ; Kepler calculates the area of a circle (ca. 1600) ; Everybody calculates the area of a circle (ca. 2000) -- Similar triangles (Proportionality). RMP problem 53 ; OB problem text MLC 1950 ; OB problem text IM 55357 -- Sequences and series. Arithmetic sequences and series ; OB problem text YBC 4608 #5 ; TMP problem 64 ; RMP problem 40 ; Geometric sequences and series ; OB problem text IM 55357-- revisited -- Old Babylonian algebra : simultaneous linear equations. A modern elementary algebra problem ; OB problem test VAT 8389 -- Pyramid volume. How they knew V (pyramid) / V (prism) = 1/3 ; Euclid proves V (pyramid) / V (prism) = 1/3 ; Truncated pyramid (frustum) volume -- From Old Babylonian scribe to Late Babylonian scribe to Pythagoras to Plato. Late Babylonian (LB) mathematics ; Pythagoras (ca. 580-500 BCE) ; Plato (427-347 BCE) -- Euclid. Who was Euclid? ; Euclid I-1 ; Euclid I-22 ; Euclid I-37 ; Euclid I-47 : the Pythagorean Theorem ; Euclid II-22 ; Euclid II-14 : the Babylonian Theorem.
600	0	0	_aPythagoras.
600	0	0	_aEuclid.
650		0	_aMathematics, Babylonian.
650		0	_aMathematics, Ancient.
650		0	_aMathematics _zEgypt _xHistory.
700	1		_aRudman, Peter Strom. _tHow mathematics happened, the first 50,000 years.
906			_a7 _bcbc _corignew _d1 _eecip _f20 _gy-gencatlg
942			_2ddc _cBK _h510.935 _iRUD/B _k510.935 _mRUD/B