On gaussian forms and ternary quadratic form matrices
Date of Publication
2006
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Thesis Adviser
Sonia Y. Tan
Defense Panel Member
Leonor A. Ruivivar
Christopher Thomas R. Cruz
Anita C. Ong
Abstract/Summary
This is an exposition of the first two sections of Chapter 6, The Polygonal Number Theorem of the book The Queen of Mathematics by W. S. Anglin. This book was published in 1995 by Kluwer Academic Publishers. The paper deals with positive definite quadratic forms in two and three variables also known as the gaussian forms and ternary quadratic forms respectively. It discusses on concepts and theorems regarding equivalence between gaussian forms and ternary quadratic forms, reduction of gaussian forms, important properties and results satisfied by gaussian forms, ternaries and their equivalent. The discussion focuses on some of the preliminary concepts and theorems needed in understanding the Cauchy's proof of Fermat's polygonal number conjecture.
Abstract Format
html
Language
English
Format
Accession Number
TU13550
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
v, 145, [12] leaves : ill.
Keywords
Gaussian processes; Ternary system
Recommended Citation
Fabia, J. S. (2006). On gaussian forms and ternary quadratic form matrices. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/17434
