where would I use quadratic forms and how?


by marellasunny
Tags: quadratic forms
marellasunny
marellasunny is offline
#1
Jan22-13, 08:50 AM
P: 203
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
Researchers help Boston Marathon organizers plan for 2014 race
'Math detective' analyzes odds for suspicious lottery wins
Pseudo-mathematics and financial charlatanism
Stephen Tashi
Stephen Tashi is offline
#2
Jan22-13, 11:57 AM
Sci Advisor
P: 3,172
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
marellasunny is offline
#3
Jan22-13, 07:13 PM
P: 203
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