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

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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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Greetz Fellow UL'ers

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       mazuki `jedi Flatline newartriot aXXo KingBen Paulx1 unisonband

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