Vsote kvadratov : delo diplomskega seminarja

Blažič, Boštjan (author), Moravec, Primož (mentor)

Delo predstavlja sistematičen pregled matematične teorije, povezane z vsoto kvadratov, od zelo osnovnih definicij do dokaza Bacheteve domneve. Razvoj rešitve problema vsote štirih kvadratov je predstavljen tudi z zgodovinskega vidika, od prvih domnev starogrških matematikov pa vse do zadnjih dognanj dvajsetega stoletja.

• Language: Slovenian
• Keywords: vsote kvadratov, Bachetova domneva, Lagrangeov izrek, Jacobijev izrek
• Work type: Final seminar paper
• Typology: 2.11 - Undergraduate Thesis
• Organization: FMF - Faculty of Mathematics and Physics
• Year: 2019
• PID: 20.500.12556/RUL-106088
• UDC: 511
• COBISS.SI-ID: 18545753
• Publication date in RUL: 25.01.2019

Secondary language

• Language: English
• Title: Sum of squares

Abstract

The work is a systematic overview of the mathematical theory associated with the sum of squares, from very basic definitions to the evidence of Bachet's conjucture. The development of a solution to the problem of the sum of four squares is also presented from the earliest assumptions of the ancient Greek mathematicians until the last twentieth century findings.

• Keywords: sum of squares, Bachet conjuncture, Lagrange's theorem, Jacobi four square theorem