Fibonacci and Lucas Numbers, and the Golden Section: Theory and Applications (Paperback)

Steven Vajda

ISBN 10: 0486462765 / ISBN 13: 9780486462769

Editore: Dover Publications, New York, 2007

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Paperback. This text for advanced undergraduates and graduate students surveys the use of Fibonacci and Lucas numbers in areas relevant to operational research, statistics, and computational mathematics. It also covers geometric topics related to the ancient principle known as the Golden Section, plus Meta-Fibonacci numbers and Platonic solids. 1989 edition. This survey of the use of Fibonacci and Lucas numbers and the ancient principle of the Golden Section covers areas relevant to operational research, statistics, and computational mathematics. 1989 edition. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Codice articolo 9780486462769

Dati bibliografici

Titolo: Fibonacci and Lucas Numbers, and the Golden ...

Casa editrice: Dover Publications, New York

Data di pubblicazione: 2007

Legatura: Paperback

Condizione: new

Descrizione articolo

Riassunto:

This text for advanced undergraduates and graduate students surveys the use of Fibonacci and Lucas numbers in areas relevant to operational research, statistics, and computational mathematics. It also covers geometric topics related to the ancient principle known as the Golden Section—a mystical expression of aesthetic harmony that bears a close connection with the Fibonacci mechanism.
The Fibonacci principle of forming a new number by an appropriate combination of previous numbers has been extended to yield sequences with surprising and sometimes mystifying properties: the Meta-Fibonacci sequences. This text examines Meta-Fibonacci numbers, proceeding to a survey of the Golden Section in the plane and space. It also describes Platonic solids and some of their less familiar features, and an appendix and other supplements offer helpful background information. Students and teachers will find this book relevant to studies of algebra, geometry, probability theory, computational aspects, and combinatorial aspects of number theory.
Steven Vajda was born in Budapest in 1901 and died in England in 1995. For the last twenty-two years of his life, he was Visiting Professor of Mathematics at Sussex University. As a prominent teacher, lecturer, and author he played a vital role in the development of mathematical programming and operations research and wrote more than a dozen books and many research papers on these and other topics including game theory.

L'autore:

Steven Vajda (1901–95) was Visiting Professor of Mathematics at England's Sussex University.