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.


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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.