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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...
| Glavni autor: | |
|---|---|
| Format: | Printed Book |
| Jezik: | English |
| Izdano: |
Heidelberg:
Springer,
2014.
|
| Teme: |
| LEADER | 03798cam a22003857a 4500 | ||
|---|---|---|---|
| 008 | 131202t20142014nyua b 001 0 eng d | ||
| 999 | |c 333492 |d 333492 | ||
| 010 | |a 2013956605 | ||
| 016 | 7 | |a 016504063 |2 Uk | |
| 020 | |a 9781461484882 (hbk : acidfree paper) | ||
| 020 | |a 146148488X (hbk : acidfree paper) | ||
| 035 | |a (OCoLC)ocn857959233 | ||
| 042 | |a lccopycat | ||
| 082 | 0 | 0 | |a 512.7/2 |2 23 |
| 084 | |2 msc |a 11-01 | ||
| 100 | 1 | |a Koshy, Thomas. | |
| 245 | 1 | 0 | |a Pell and Pell-Lucas numbers with applications / |c Thomas Koshy. |
| 260 | |a Heidelberg: |b Springer, |c 2014. | ||
| 300 | |a xxiii, 431 pages : |b illustrations (some color) ; |c 29 cm. | ||
| 504 | |a Includes bibliographical references (p. 417-422) and index. | ||
| 505 | 0 | |a 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. | |
| 520 | 3 | |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.- - | |
| 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. | |
| 650 | 7 | |a Logic, Symbolic and mathematical. |2 fast | |
| 650 | 7 | |a Lucas numbers. |2 fast | |
| 650 | 7 | |a Mathematics. |2 fast | |
| 650 | 7 | |a Number theory. |2 fast | |
| 942 | |c BK | ||
| 655 | 7 | |a Problems, exercises, etc. |2 fast | |
| 906 | |a 7 |b cbc |c copycat |d 2 |e ncip |f 20 |g y-gencatlg | ||
| 955 | |a pc17 2013-12-02 |b rl02 2015-06-11 z-processor |i rl02 2015-06-23 to Dewey | ||
| 952 | |0 0 |1 0 |2 ddc |4 0 |6 1101_KOS |7 0 |9 381130 |a MAT |b MAT |c ST1 |d 2019-04-03 |i 7056 |l 0 |o 11-01 KOS |p MAT7056 |r 2019-04-03 |y BK | ||