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 read...

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Bibliographic Details
Main Author: Koshy, Thomas
Format: Printed Book
Language:English
Published: Heidelberg: Springer, 2014.
Subjects:
Lucas numbers > Problems, exercises, etc.
Logic, Symbolic and mathematical > Problems, exercises, etc.
Number theory.
Mathematics > Problems, exercises, etc.
Logic, Symbolic and mathematical.
Lucas numbers.
Mathematics.
Problems, exercises, etc.
Table of Contents:
  • 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 hybridities
  • 18. An extended Pell family
  • 19. Chebyshev Polynomials
  • 20. Chebyshev tilings.

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