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Author:

Katz, Gabriel, 1948-

Title:

The shape of algebra in the mirrors of mathematics : a visual, computer-aided exploration of elementary algebra and beyond / Gabriel Katz, Vladimir Nodelman.

Publisher:

World Scientific,

Copyright Date:

c2012

Description:

xxiv, 607 p. : ill. ; 24 cm. + 1 CD-ROM (4 3/4 in.)

Subject:

Polynomials--Mathematical models.
Polynomials--Data processing.

Other Authors:

Nodelman, Vladimir.

Notes:

Includes bibliographical references (p. 603-607). Disc contains VisuMatica and figures.

Contents:

Maps, models, and the coordinate plane -- The universe of quadratic polynomials, the vi©·te map, and its inverse -- The complex numbers and other fields -- The geometry of complex linear polynomial mappings -- Complex polynomial maps, closed plane curves, and a few topological exhibits -- Geometry of complex polynomial maps of degree two and three -- Modular spaces of cubic and quartic polynomials -- Cubic and quartic equations: solutions in radicals and a field theory trip -- Solutions of cubic equations in radicals: their geometry and symmetry -- The cubic and quartic equations and the plane curves -- Complex polynomial maps of high degrees and the fundamental theorem of algebra -- The polynomial kalidoscope with holomorphic mirrors.

ISBN:

9814313599
9789814313599

OCLC:

(OCoLC)772492832

LCCN:

2012359659

Locations:

USUX851 -- Iowa State University - Parks Library (Ames)