Warehouse Stock Clearance Sale

Grab a bargain today!

Pell and Pell-Lucas Numbers with Applications
By

Rating

Product Description
Product Details

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.

About the Author

Thomas Koshy is Professor Emeritus of Mathematics at Framingham State University in Framingham, Massachusetts. In 2007, he received the Faculty of the Year Award and his publication Fibonacci and Lucas numbers with Applications won the Association of American Publishers' new book award in 2001. Professor Koshy has also authored numerous articles on a wide spectrum of topics and more than seven books, among them, Elementary Number Theory with Applications, second edition; Catalan Numbers with Applications; Triangular Arrays with Applications; and Discrete Mathematics with Applications.

Reviews

"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 examples and most chapters end with a list of exercises, which makes the book particularly appropriate for undergraduate/graduate students." (Wolfgang Steiner, zbMATH 1330.11002, 2016)"The book is very appealing, it contains numerous figures and examples. And finally one thing is for sure - everyone will be able to find something interesting and new in this book, let be a student, a professor, or an amateur, who is enthralled by investigating integer sequences, and is willing to explore their hidden beauty." (Peter Hajnal, Acta Scientiarum Mathematicarum, Vol. 82 (3-4), 2016)"Books such as this support the pedagogical possibility for making 'ontogeny recapitulate phylogeny' for students learning mathematics in ways better mirroring how researchers first discovered it. ... A thorough reading will increase students' knowledge of number theory (Diophantine equations, continued fractions), combinatorics (identities, generating functions, lattice paths, graphs), many families of related number sequences, and basic algebraic technique. A gold mine for undergraduate research prospects. Summing Up: Highly recommended. All readership levels." (D. V. Feldman, Choice, Vol. 53 (1), September, 2015)"One of the author's main goals with this book is to 'collect, organize, and present information about these integer families in a systematic and enjoyable fashion'. ... The book is particularly appropriate for undergraduate/graduate students who are exploring the areas of combinatorics and number theory. It is also useful as a resource for research mathematicians as well as amateur mathematicians ... . a delightful book written in an engaging style that draws the reader into taking the adventure of discovery." (Edward G. Thurber, Mathematical Reviews, August, 2015)"This book can be used as a standalone or supplemental text in an upper level undergraduate, number-theory course. It could also be used as a supplemental text in a discrete mathematics course. Finally, it could also be read simply for its recreational flavor by a person in any field." (Russell Jay Hendel, MAA Reviews, February, 2015)

"This is a treasure trove of relations, formulas, connections, that circle the notion of Pell numbers. There is no comparable publication having that amount of information available on this topic. It will be of great interest to number theorists, professional as well as amateurs." (Adhemar Bultheel, euro-math-soc.au, January, 2015)

Ask a Question About this Product More...
Write your question below:
Look for similar items by category
How Fishpond Works
Fishpond works with suppliers all over the world to bring you a huge selection of products, really great prices, and delivery included on over 25 million products that we sell. We do our best every day to make Fishpond an awesome place for customers to shop and get what they want — all at the best prices online.
Webmasters, Bloggers & Website Owners
You can earn a 8% commission by selling Pell and Pell-Lucas Numbers with Applications on your website. It's easy to get started - we will give you example code. After you're set-up, your website can earn you money while you work, play or even sleep! You should start right now!
Authors / Publishers
Are you the Author or Publisher of a book? Or the manufacturer of one of the millions of products that we sell. You can improve sales and grow your revenue by submitting additional information on this title. The better the information we have about a product, the more we will sell!
Item ships from and is sold by Fishpond Retail Limited.
Back to top