Finding Zeros of Rational Quadratic Forms

In this thesis, we introduce the notion of quadratic forms and provide motivation for their study. We begin by discussing Diophantine equations, the field of p-adic numbers, and the Hasse-Minkowski Theorem that allows us to use p-adic analysis determine whether a quadratic form has a rational root....

Full description

Bibliographic Details
Main Author: Shaughnessy, John F
Format: Others
Published: Scholarship @ Claremont 2014
Subjects:
Online Access:http://scholarship.claremont.edu/cmc_theses/849
http://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1862&context=cmc_theses