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008 092805s2006 dcuacf b 001 0deng
010 _a2005037018
020 _a9780309096577
042 _apcc
050 0 0 _aQA151
_b.D47 2006
082 0 0 _a512 DER
100 1 _aDerbyshire, John
245 1 0 _aUnknown quantity
_b: a real and imaginary history of algebra
_c/ John Derbyshire
260 _aWashington, D.C.
_b: Joseph Henry Press
_c, c2006.
300 _aviii, 374 p., [8] p. of plates
_b: ill., ports.
_c; 24 cm.
504 _aIncludes bibliographical references and index.
505 0 _aMath Primer: Numbers and Polynomials -- The Unknown Quantity -- Four Thousand Years Ago -- The Father of Algebra -- Completion and Reduction -- Math Primer: Cubic and Quartic Equations -- Commerce and Competition -- Relief for the Imagination -- Universal Arithmetic -- The Lions Claw -- Math Primer: Roots of Unity -- The Assault on the Quintic -- Math Primer: Vector Spaces and Algebras -- The Leap into the Fourth Dimension -- An Oblong Arrangement of Terms -- Victoria's Brumous Isles -- Levels of Abstraction Math Primer: Field Theory -- Pistols at Dawn -- Lady of the Rings -- Math Primer: Algebraic Geometry -- Geometry Makes a Comeback -- Algebraic This, Algebraic That -- From Universal Arithmetic to Universal Algebra.
520 _aAlgebra emerged early in recorded history, stepping aside from the declarative to create the interrogative, a process that has led to fascination and even obsession. Derbyshire, a mathematician and linguist by education and systems analyst by profession, starts with the algebra of about 4,000 years ago and works up to Diophantus, whose place as the father of algebra may be disputed but whose contributions nevertheless are universally admired, then through Hypatia, Cardano, Descartes, Newton, von Leibniz, Lagrange, Cauchy, Abel, Galois, Riemann, Lie, Poincaré, Hilbert, NoetherLefschetz, Zariski, MacLane and Grothendieck, along with a host of other luminaries, giving readers accessible descriptions of their discoveries and even providing non-specialists with extra help on basics such as vector spaces, field theory and algebraic geometry. The result is concise, readable, and enjoyable.
650 0 _aAlgebra
_x--History
650 0 _aEquations
_x--History
650 0 _aAlgebra, Universal
_x--History
650 0 _aAlgebra, Abstract
_x--History
650 0 _aGeometry, Algebraic
_x--History
942 _cMO
999 _c267845
_d267845