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The unknown quantity : a real and imaginary history of algebra, by John Derbyshire. p. cm. Includes bibliographical references and index. ISBN 0-309-09657-X (hardback : alk. paper) 1. AlgebraHistory. On the whole, though, this is a pretty good summary of basic algebra and reveals the working definition of the word algebra in the modern American high school and college-basics curriculum: Algebra is the part of advanced mathematics that is not calculus. In the higher levels of math, however, algebra has a distinctive quality that sets it apart as a discipline by itself.

Unknown Quantity" on the other hand gives us a more general history of its subject, which is algebra. Derbyshire takes us from its beginnings in ancient Babylon and describes in detail how to decipher a sample problem found on cuneiform tablet. He then goes to Alexandria where Diophantus used the first notation using something like "x" to represent unknown quantities. It didn't catch on, and Arab mathematicians developed the field during the middle ages using word problems again

Perfect for history buffs and armchair algebra experts, Unknown Quantity tells the story of the development of abstract mathematical thought. John Derbyshire discovers the story behind the formulae, roots, and radicals

Perfect for history buffs and armchair algebra experts, Unknown Quantity tells the story of the development of abstract mathematical thought. 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 be Perfect for history buffs and armchair algebra experts, Unknown Quantity tells the story of the development of abstract mathematical thought.

Here is the story of algebra. With this deceptively simple introduction, we begin our journey. Flanked by formulae, shadowed by roots and radicals, but escorted by an expert who navigates unerringly on our behalf, we are guaranteed safe passage through even the most treacherous mathematical terrain. Our first encounter with algebraic arithmetic takes us back thirty-eight centuries to the time of Abraham and Isaac, Jacob and Joseph, Ur and Haran, Sodom and Gomorrah. Moving deftly from Abel’s proof to the higher levels of abstraction developed by Galois, we are eventually introduced.

Includes bibliographical references and index

Includes bibliographical references and index

Home MAA Publications Periodicals Convergence Unknown Quantity; A Real and Imaginary History of. .

Home MAA Publications Periodicals Convergence Unknown Quantity; A Real and Imaginary History of Algebra. Unknown Quantity; A Real and Imaginary History of Algebra. Don Crossfield, Mathematics Teacher, Roseburg High School.

John Derbyshire is a mathematician and linguist by education; a systems analyst by profession; and the celebrated author of Prime Obsession, his no-holds-barred mathematical biography of Bernhard Riemann.

John Derbyshire is a mathematician and linguist by education; a systems analyst by profession; and the celebrated author of Prime Obsession, his no-holds-barred mathematical biography of Bernhard Riemann, and the highly acclaimed 1996 novel Seeing Calvin Coolidge in a Dream. He currently lives in Huntington. Prime Obsession taught us not to be afraid to put the math in a math book. Unknown Quantity heeds the lesson well. So grab your graphing calculators, slip out the slide rules, and buckle up!

Unknown Quantity starts off during Abraham and Isaac and strikes from Abel?s facts to the better degrees of.Supplying a concise advent to summary algebra, this paintings unfolds a few of the primary structures with the purpose of achieving acceptable, major effects.

Unknown Quantity starts off during Abraham and Isaac and strikes from Abel?s facts to the better degrees of abstraction built by means of Galois via modern day advances. Derbyshire explains how an easy flip of notion from ?this plus this equals this? to ?this plus what equals this? gave delivery to a complete new means of perceiving the area.

org to approved e-mail addresses. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.

Written for those who are unencumbered by a fear of formulae, this volume presents a history of algebra that is intellectually satisfying and pleasantly challenging. 3 people like this topic.

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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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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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Unknown Quantity A Real and Imaginary History of Algebra-tqw- darksiderg