Rudman, Peter Strom <br/><br/>
The Babylonian theorem :  the mathematical journey to Pythagoras and Euclid / 
Peter S. Rudman. 
 - Amherst, N.Y. :  Prometheus Books,  2010. 
 - 248 p. :  ill. ;  24 cm. 
<br/><br/> Sequel to: How mathematics happened, the first 50,000 years. 2007. 
<br/><br/>Includes bibliographical references (p. 233-243) and index. 
<br/><br/>Number 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. 
<br/><br/><label>ISBN: </label>9781591027737 (cloth : alk. paper) 159102773X (cloth : alk. paper) 
<br/><br/><label>LCCN: </label>2009039196 
<br/><br/><label>Subjects--Personal Names: </label><br/>Pythagoras.<br/>Euclid.
<br/><br/><label>Subjects--Topical Terms: </label><br/>Mathematics, Babylonian.<br/>Mathematics, Ancient.<br/>Mathematics--History.--Egypt
<br/><br/><label>LC Class. No.: </label>QA22  / .R859 2010 
<br/><br/><label>Dewey Class. No.: </label>510.935  / RUD/B