+612 9045 4394
Applications of Fibonacci Numbers : Proceedings of `The Fifth International Conference on Fibonacci Numbers and Their Applications', The University of St. Andrews, Scotland, July 20-July 24, 1992 - G. E. Bergum

Applications of Fibonacci Numbers

Proceedings of `The Fifth International Conference on Fibonacci Numbers and Their Applications', The University of St. Andrews, Scotland, July 20-July 24, 1992

By: G. E. Bergum (Editor), Andreas N. Philippou (Editor), A.F. Horadam (Editor)

Hardcover Published: 30th September 1993
ISBN: 9780792324911
Number Of Pages: 625

Share This Book:


RRP $556.99
or 4 easy payments of $96.31 with Learn more
Ships in 7 to 10 business days

Other Available Editions (Hide)

  • Paperback View Product Published: 30th October 2012
  • Paperback View Product Published: 3rd October 2013
  • Paperback View Product Published: 20th September 2011
  • Paperback View Product Published: 21st October 2012
  • Paperback View Product Published: 13th October 2012

This volume contains a collection of papers presented at the Fifth International Conference on Fibonacci Numbers and their Applications. The topics covered include number patterns, linear recurrences, and the application of the Fibonacci Numbers to probability, statistics, differential equations, cryptography, computer science and elementary number theory. Many of the papers included contain suggestions for other avenues of research. The contents of this volume attest to a growing interest in, and importance of, the pure and applied aspects of Fibonacci Numbers in many different areas of science of engineering. The proceedings of the four previously held conferences have also been published by Kluwer. For those interested in application of number theory, statistics and probability, and numerical analysis in science and engineering.

Multidimensional Golden Means.- A Necessary and Sufficient Condition that Rays of A Star Configuration on Pascal's Triangle Cover Its Center With Respect to GCD and LCM.- On the Minimal Center Covering Stars With Respect to GCD In Pascal's Pyramid and Its Generalizations.- An Extension of an Old Classical Diophantine Problem.- Fourier Analysis in Finite Nilpotent Groups.- Wall and Vinson Revisited.- Designer Decimals: Fractions Which Contain Second Order Recursion Sequences in Their Decimal Expansions, Reading Left to Right or Right to Left.- Semigroup Presentations and Number Sequences.- Counting the Number of Solutions of Congruences.- On the Number of Overlapping Success Runs in A Sequence of Independent Bernoulli Trials.- Embedding Fibonacci Words Into Fibonacci Word Patterns.- On Sums of Cubes of Fibonacci Numbers.- Integer Sided Triangles Whose Ratio of Altitude to Base Is an Integer.- On a class of Iterative Recurrence Relations.- Discrete Operational Calculi for Two-Sided Sequences.- Transformations of Fibonacci-Lucas Identities.- Fibonacci Numbers and Continued Fraction Expansions.- The DFF and DFFZ Triangles and Their Mathematical Properties.- Contributions from Cascaded Combinations to the Naming of Special Permutations.- The Zeckendorf Representation of {Fkn/Fn}.- Fractal Patterns Derived from Rational Binomial Coefficients.- Hausdorff Dimension in Pascal's Triangle.- Chaos, Elliptic Curves and All that.- Co-Related Sequences Satisfying the General Second Order Recurrence Relation.- On the Moments of The Sum-of-Digits Function.- Problems on Fibonacci and B-Adic Tree Representations by Regular K-Gons.- Two-Distance Sets and the Golden Ratio.- A Fibionacci Problem Classification Scheme Useful to Undergraduate Pedagogy.- Zeckendorf Representations of Positive and Negative Integers by Pell Numbers.- Integration Sequences of Fibonacci and Lucas Polynomials.- Pell-Type Number Generators of Pythagorean Triples.- Balance Morphology of a Binary Tree.- Norlund's Number B(n)n.- On Stirling-Type Pairs and Extended Gegenbauer-Humbert-Fibonacci Polynomials.- A Sequence Arising from Reflections in Multiple Glass Plates.- Diophantine Representation of Non-Fibonacci Numbers.- On Some Problems Related to the Fibonacci Group.- Congruence Properties of Fibonacci Numbers and Fibonacci Coefficients Modulo P2.- Orderings of the Set of All Positive Fibonacci Sequences.- Some Results Concerning the Reciprocal Sum of Prime Divisors of a Lucas Number.- Rational Numbers with Predictable Engel Product Expansions.- Two Families of Orthogonal Polynomial Systems Related to Fibonacci Chains.- On the Formation of Higher Order Higher Dimensional Line-Sequential Vector Spaces.- Arithmetic Sequences and Second Order Recurrences.- Generalized Fibonacci Pseudoprimes and Probable Primes.- A Generalization of the Fibonacci Sequence.- How to Advance on a Stairway by Coin Flippings.- Fibonacci Sequence and Its Generalizations Hidden in Algorithms for Generating Morse Codes.- On Matrix Representations of Generalized Fibonacci Numbers and Their Applications.- A Cholesky Decomposition in Matching Insulin Profiles.- Generalized Exponential and Trigonometric Functions.- Divisibility of Terms in Lucas Sequences by Their Subscripts.- Upper Bounds for Frequencies of Elements in Second-Order Recurrences Over a Finite Field.- On the Convergence of Quotients of Some Recursive Sequences.- Two Distribution Problems for Polynomials.- The Elements of Enteger Geometry.- Totient Functions on the Euler Number Tree.- Using Matrix Techniques to Establish Properties of k-Order Linear Recursive Sequences.

ISBN: 9780792324911
ISBN-10: 0792324919
Series: DIVS-Diverse Ser. : Book 5
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 625
Published: 30th September 1993
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 4.17
Weight (kg): 2.43

This product is categorised by