Pell and Pell–Lucas numbers with applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2014
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781461484882 9781461484899 |
| DOI: | 10.1007/978-1-4614-8489-9 |
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Datensatz im Suchindex
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|---|---|
| adam_text | PELL AND PELL–LUCAS NUMBERS WITH APPLICATIONS
/ KOSHY, THOMAS
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
PELL AND PELL–LUCAS NUMBERS WITH APPLICATIONS
/ KOSHY, THOMAS
: 2014
ABSTRACT / INHALTSTEXT
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| spelling | Koshy, Thomas Verfasser (DE-588)137690959 aut Pell and Pell–Lucas numbers with applications Thomas Koshy New York, NY [u.a.] Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Pell-Gleichung (DE-588)4720859-4 gnd rswk-swf Lucas-Zahlenreihe (DE-588)4760832-8 gnd rswk-swf Electronic book text Lucas-Zahlenreihe (DE-588)4760832-8 s Pell-Gleichung (DE-588)4720859-4 s 1\p DE-604 https://doi.org/10.1007/978-1-4614-8489-9 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027654499&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027654499&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Koshy, Thomas Pell and Pell–Lucas numbers with applications Pell-Gleichung (DE-588)4720859-4 gnd Lucas-Zahlenreihe (DE-588)4760832-8 gnd |
| subject_GND | (DE-588)4720859-4 (DE-588)4760832-8 |
| title | Pell and Pell–Lucas numbers with applications |
| title_auth | Pell and Pell–Lucas numbers with applications |
| title_exact_search | Pell and Pell–Lucas numbers with applications |
| title_full | Pell and Pell–Lucas numbers with applications Thomas Koshy |
| title_fullStr | Pell and Pell–Lucas numbers with applications Thomas Koshy |
| title_full_unstemmed | Pell and Pell–Lucas numbers with applications Thomas Koshy |
| title_short | Pell and Pell–Lucas numbers with applications |
| title_sort | pell and pell lucas numbers with applications |
| topic | Pell-Gleichung (DE-588)4720859-4 gnd Lucas-Zahlenreihe (DE-588)4760832-8 gnd |
| topic_facet | Pell-Gleichung Lucas-Zahlenreihe |
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