Unknown Quantity A Real and Imaginary History of Algebra~tqw~_darksiderg torrent download



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INFO


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Title................: Unknown Quantity A Real and Imaginary History of Algebra


Type.................: Ebook


Reader...............: PDF Reader


Size.................: 2.8 MB


Torrent Hash.........: 24F0A806A50E945257DBC565D6B8BDD295AB4794


Posted by............: ~tqw~





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CONTENTS


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http://images.barnesandnoble.com/images/10800000/10804080.jpg


Synopsis:


For curious nonmathematicians and armchair algebra buffs, John Derbyshire 


discovers the story behind the formulae, roots, and radicals. As he did so 


masterfully in Prime Obsession, Derbyshire brings the evolution of 


mathematical thinking to dramatic life by focusing on the key historical 


players. Unknown Quantity begins in the time of Abraham and Isaac and moves 


from Abel's proof to the higher levels of abstraction developed by Galois 


through modern-day advances. Derbyshire explains how a simple turn of thought 


from "this plus this equals this" to "this plus what equals this?" gave birth 


to a whole new way of perceiving the world. With a historian's narrative 


authority and a beloved teacher's clarity and passion, Derbyshire leads 


readers on an intellectually satisfying and pleasantly challenging journey 


through the development of abstract mathematical thought. 





Table Of Contents:


	Math primer : numbers and polynomials	7


Pt. 1	The unknown quantity	


1	Four thousand years ago	19


2	The father of algebra	31


3	Completion and reduction	43


	Math primer : cubic and quartic equations	57


4	Commerce and competition	65


5	Relief for the imagination	81


Pt. 2	Universal arithmetic	


6	The lion's claw	97


	Math primer : roots of unity	109


7	The assault on the quintic	115


	Math primer : vector spaces and algebras	134


8	The leap into the fourth dimension	145


9	An oblong arrangement of terms	161


10	Victoria's Brumous Isles	177


Pt. 3	Levels of abstraction	


	Math primer : field theory	195


11	Pistols at dawn	206


12	Lady of the rings	223


	Math primer : algebraic geometry	241


13	Geometry makes a comeback	253


14	Algebraic this, algebraic that	279


15	From universal arithmetic to universal algebra	298





Product Details:


    * ISBN: 030909657X


    * ISBN-13: 9780309096577


    * Format: Hardcover, 390pp


    * Publisher: National Academies Press


    * Pub. Date: May 2006





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