Fibonacci and Lucas Numbers, and the Golden Section: Theory and Applications - Brossura

Vajda, Steven

Brossura

ISBN 10: 0486462765 ISBN 13: 9780486462769

Casa editrice: Dover Pubns, 2007

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.

Su questo libro

L'autore

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

Contenuti

Preface Introduction Background Relationships Fibonacci numbers and the Golden Section Fibonacci Series Divisibility properties Congruences and uniformity Continued fractions and convergents Fibonacci representation Search and games Hyperbolic functions and Fibonacci numbers Meta-Fibonacci sequences (a letter from B. W. Conolly) The Golden Section in the plane The Golden Section in three-dimensional space Appendix List of formulae References Table of Fn and Ln and their prime factors Index

Dettagli dell?edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2007
• ISBN 10: 0486462765
• ISBN 13: 9780486462769
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 189