Pell and Pell-Lucas Numbers with Applications

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 reade...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Koshy, Thomas (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: New York, NY : Springer New York : Imprint: Springer, 2014.
Edition:1st ed. 2014.
Subjects:
Number theory.
Mathematical logic.
Mathematics.
History.
Number Theory.
Mathematical Logic and Foundations.
History of Mathematical Sciences.
Online Access:Texto Completo
Table of Contents:
  • 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.

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