Reel kuadratik cisimlerde birimler

Fundamental units in real quadratic fields

1. Tez No: 318381
2. Yazar: AYGEN KOÇ
3. Danışmanlar: PROF. DR. REFİK KESKİN
4. Tez Türü: Yüksek Lisans
5. Konular: Matematik, Mathematics
6. Anahtar Kelimeler: Temel Birim, Sürekli Kesirler, Sonsuz Sürekli Kesirler, Periyodik Sonsuz Sürekli Kesirler, Tamamıyla Periyodik Sürekli Kesirler, Fibonacci Sayıları, Lucas Sayıları, Pell ve Pell-Lucas Sayıları, Diophantine Denklemleri, Fundamental Unit, Continued Fractions, Infinite Continued Fractions, Periodic Infinite Continued Fractions, Pure Periodic Infinite Continued Fractions, Fibonacci Numbers, Lucas Numbers, Pell and Pell-Lucas Numbers, Diophantine EquationsThis study consists of five chapters.In the first chapter, some basic definations and theorems are given.In the second chapter, units in the real quadratic fields were examined.In the third chapter, finite continued fractions, infinite continued fractions, periodic continued fractions, pure periodic infinite continued fractions, and infinite continuous fraction expansion of ?d were investigated.In the fourth chapter, the fundamental units of the real quadratic fields were calculated.In the fifth chapter, solutions of some diophantine equations were given
7. Yıl: 2012
8. Dil: Türkçe
9. Üniversite: Sakarya Üniversitesi
10. Enstitü: Fen Bilimleri Enstitüsü
11. Ana Bilim Dalı: Matematik Ana Bilim Dalı
12. Bilim Dalı: Cebir ve Sayılar Teorisi Bilim Dalı
13. Sayfa Sayısı: 91