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

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

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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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Unknown Quantity A Real and Imaginary History of Algebra~tqw~_darksiderg preview 0
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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