## Table of contents for The unknown quantity : a brief history of algebra / by John Derbyshire.

Bibliographic record and links to related information available from the Library of Congress catalog.

**Note:** Contents data are machine generated based on pre-publication provided by the publisher. Contents may have variations from the printed book or be incomplete or contain other coding.

CONTENTS
Introduction v
Math Primer: Numbers and Polynomials 1
Part 1: The Unknown Quantity
1 Four Thousand Years Ago 11
2 The Father of Algebra 26
3 Completion and Reduction 40
Math Primer: Cubic and Quartic Equations 49
4 Commerce and Competition 59
5 Relief for the Imagination 77
Part 2: Universal Arithmetic
6 The Lion¿s Claw 93
Math Primer: Roots of Unity 108
7 The Assault on the Quintic 114
Math Primer: Vector Spaces and Algebras 135
8 The Leap into the Fourth Dimension 145
9 An Oblong Arrangement of Terms 163
10 Victoria¿s Brumous Isles 181
Part 3: Levels of Abstraction
Math Primer: Field Theory 198
11 Pistols at Dawn 210
12 Lady of the Rings 230
Math Primer: Algebraic Geometry 250
13 Geometry Makes a Comeback 262
14 Algebraic This, Algebraic That 287
15 From Universal Arithmetic to Universal Algebra 308
Endnotes 334

Library of Congress Subject Headings for this publication:

Algebra -- History.

Equations -- History.

Algebra, Universal -- History.

Algebra, Abstract -- History.

Geometry, Algebraic -- History.