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Title

Standard quadratic forms and their classification
Author

Bruno Autin
Organization: MathSoft Overseas
Conference

2004 International Mathematica Symposium
Conference location

Banff, Canada
Description

A quadratic form is a second degree polynomial of one or several variables. Its standard form is either a sum of squares and of a constant or a sum of squares and of a first degree polynomial. A quadratic polynomial is reduced to its standard form through a linear transformation. Depending on the standard form, the second degree polynomials can be classified in canonical categories whose names are given by their geometrical representations in conics and quadrics for two- and three-variable polynomials respectively.
Subject

*Mathematics > Algebra > Polynomials
Keywords

quadratic forms, polynomial, geometrical representations
Related items

*New Ideas in Symbolic Computation: Proceedings of the 6th International Mathematica Symposium   [in Books]