Pell and Pell–Lucas Numbers with Applications

• Κύριος συγγραφέας: Koshy, Thomas (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2014.
• Θέματα: Mathematics.; History.; Mathematical logic.; Number theory.; Number Theory.; Mathematical Logic and Foundations.; History of Mathematical Sciences.

Pell and Pell–Lucas Numbers has been carefully crafted as an undergraduate/graduate textbook; the level of which depends on the college/university and the instructor’s preference. The exposition moves from the basics to more advanced topics in a systematic rigorous fashion, motivating  the reader wi...

Πίνακας περιεχομένων:

• Preface
• List of Symbols
• Abbreviations
• 1. Fundamentals
• 2. Pell’s Equation
• 3. Continued Fractions
• 4. Pythagorean Triples
• 5. Triangular Numbers
• 6. Square-Triangular Numbers
• 7. Pell and Pell-Lucas Numbers
• 8. Additional Pell Identities
• 9. Pascal’s Triangle and the Pell Family
• 10. Pell Sums and Products
• 11. Generating Functions for the Pell Family
• 12. Pell Walks
• 13. Pell Triangles. - 14. Pell and Pell-Lucas Polynomials
• 15. Pellonometry
• 16. Pell Tilings
• 17. Pell-Fibonacci Bridges
• 18. An Extended Pell Family
• 19. Chebyshev Polynomials
• 20. Chebyshev Tilings
• Appendix
• References
• Index.