where would I use quadratic forms and how?

by marellasunny
Tags: quadratic forms
marellasunny is offline
Jan22-13, 08:50 AM
P: 206
Wiki defines :In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables.

Yes,all nice and dandy,I get to then express it in terms of matrices and then I find the eigen values and then find the canonical quadratic form,the usual boring linear algebra exercise.But,where could I practically use these forms?For example,in projective geometry,how would I use these?
Phys.Org News Partner Mathematics news on Phys.org
Math modeling handbook now available
Hyperbolic homogeneous polynomials, oh my!
Researchers help Boston Marathon organizers plan for 2014 race
Stephen Tashi
Stephen Tashi is offline
Jan22-13, 11:57 AM
Sci Advisor
P: 3,178
You're implying that linear algebra is boring and projective geometry is not? I'm curious why. I've always found it the other way around.
marellasunny is offline
Jan22-13, 07:13 PM
P: 206
I meant linear algebra is always taught in a boring way.Projective geometry classes begin with the Riemann sphere and transformations and other enticing stuff for imagination.Anyway,why would I need a canonical quadratic form?
In practical applications like modelling,how is a canonical quadratic form more useful?(other than the fact it has +1 and -1 as coefficients)

Register to reply

Related Discussions
Quadratic Forms (Sum) Calculus & Beyond Homework 2
Quadratic Forms for SL(2;R) Advanced Physics Homework 1
Quadratic forms Linear & Abstract Algebra 1
quadratic forms Linear & Abstract Algebra 2
Quadratic Forms Calculus & Beyond Homework 0