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Pell and Pell-Lucas numbers with applications [electronic resource]

Pell and Pell-Lucas numbers with applications [electronic resource]

Material type
E-Book(소장)
Personal Author
Koshy, Thomas.
Title Statement
Pell and Pell-Lucas numbers with applications [electronic resource] / Thomas Koshy.
Publication, Distribution, etc
New York, NY :   Springer New York :   Imprint: Springer,   2014.  
Physical Medium
1 online resource (xxiii, 431 p.) : ill. (some col.).
ISBN
9781461484899
요약
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 matrices, determinants, congruences, and combinatorics is required. The text may be used in a variety of number theory courses, as well as in seminars, workshops, and other capstone experiences for teachers in-training and instructors at all levels.   A number of  key features  on the Pell family surrounds the historical flavor that is interwoven into an extensive, in-depth coverage of this unique text on the subject. Pell and Pell-Lucas numbers, like the well-known Fibonacci and Catalan numbers, continue to intrigue the mathematical community with their beauty and applicability. Beyond  the classroom setting, the professional mathematician, computer scientist, and other university faculty will greatly benefit from exposure to a range of mathematical skills involving pattern recognition, conjecturing, and problem-solving techniques; these insights and tools are presented in an array of applications to combinatorics, graph theory, geometry, and various other areas of discrete mathematics.   Pell and Pell-Lucas Numbers provides a powerful tool for extracting numerous interesting properties of a vast array of number sequences. It is a fascinating book, offering boundless opportunities for experimentation and exploration for the mathematically curious, from   student, to  the professional, amateur number theory enthusiast, and  talented high schooler.   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.
General Note
Title from e-Book title page.  
Content Notes
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.
Bibliography, Etc. Note
Includes bibliographical references (p. 417-422) and index.
이용가능한 다른형태자료
Issued also as a book.  
Subject Added Entry-Topical Term
Lucas numbers --Problems, exercises, etc. Logic, Symbolic and mathematical --Problems, exercises, etc. Number theory. Mathematics --Problems, exercises, etc.
Short cut
URL
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006 m d
007 cr
008 200814s2014 nyua ob 001 0 eng d
020 ▼a 9781461484899
040 ▼a 211009 ▼c 211009 ▼d 211009
050 0 0 ▼a QA241
082 0 0 ▼a 512.7/2 ▼2 23
084 ▼a 512.72 ▼2 DDCK
090 ▼a 512.72
100 1 ▼a Koshy, Thomas.
245 1 0 ▼a Pell and Pell-Lucas numbers with applications ▼h [electronic resource] / ▼c Thomas Koshy.
260 ▼a New York, NY : ▼b Springer New York : ▼b Imprint: Springer, ▼c 2014.
300 ▼a 1 online resource (xxiii, 431 p.) : ▼b ill. (some col.).
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references (p. 417-422) and index.
505 0 ▼a 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.
520 ▼a 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 matrices, determinants, congruences, and combinatorics is required. The text may be used in a variety of number theory courses, as well as in seminars, workshops, and other capstone experiences for teachers in-training and instructors at all levels.   A number of  key features  on the Pell family surrounds the historical flavor that is interwoven into an extensive, in-depth coverage of this unique text on the subject. Pell and Pell-Lucas numbers, like the well-known Fibonacci and Catalan numbers, continue to intrigue the mathematical community with their beauty and applicability. Beyond  the classroom setting, the professional mathematician, computer scientist, and other university faculty will greatly benefit from exposure to a range of mathematical skills involving pattern recognition, conjecturing, and problem-solving techniques; these insights and tools are presented in an array of applications to combinatorics, graph theory, geometry, and various other areas of discrete mathematics.   Pell and Pell-Lucas Numbers provides a powerful tool for extracting numerous interesting properties of a vast array of number sequences. It is a fascinating book, offering boundless opportunities for experimentation and exploration for the mathematically curious, from   student, to  the professional, amateur number theory enthusiast, and  talented high schooler.   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.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Lucas numbers ▼v Problems, exercises, etc.
650 0 ▼a Logic, Symbolic and mathematical ▼v Problems, exercises, etc.
650 0 ▼a Number theory.
650 0 ▼a Mathematics ▼v Problems, exercises, etc.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-1-4614-8489-9
945 ▼a KLPA
991 ▼a E-Book(소장)

Holdings Information

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