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Pell and Pell-Lucas numbers with applications

Author: Thomas Koshy
Publisher: New York, NY : Springer, 2014.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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 with numerous examples, figures, and exercises. Only a strong foundation in precalculus, plus a good background in  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Thomas Koshy
ISBN: 9781461484899 1461484898 146148488X 9781461484882
OCLC Number: 898727855
Description: 1 online resource (xxiii, 431 pages) : illustrations (some color)
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.
Responsibility: Thomas Koshy.

Abstract:

Pell and Pell-Lucas numbers, like the well-known Fibonacci and Catalan numbers, continue to intrigue the mathematical world with their beauty and applicability.  Read more...

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"The book under review contains a comprehensive overview of properties of Pell and Pell-Lucas numbers and their relations with a wealth of other mathematical objects. ... The book contains many Read more...

 
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