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

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9780486462769: Fibonacci and Lucas Numbers, and the Golden Section: Theory and Applications

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.

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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

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Steven Vajda
Editore: Dover Publications Inc., United States (2008)
ISBN 10: 0486462765 ISBN 13: 9780486462769
Nuovi Paperback Quantità: 10
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Descrizione libro Dover Publications Inc., United States, 2008. Paperback. Condizione libro: New. 231 x 155 mm. Language: English . Brand New Book. 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. Codice libro della libreria AAC9780486462769

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Steven Vajda
Editore: Dover Publications Inc., United States (2008)
ISBN 10: 0486462765 ISBN 13: 9780486462769
Nuovi Paperback Quantità: 10
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Descrizione libro Dover Publications Inc., United States, 2008. Paperback. Condizione libro: New. 231 x 155 mm. Language: English . Brand New Book. 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. Codice libro della libreria AAC9780486462769

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ISBN 10: 0486462765 ISBN 13: 9780486462769
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Descrizione libro Dover Publications Inc. 2009-01-01, 2009. Condizione libro: New. Brand new book, sourced directly from publisher. Dispatched within 2 working days from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Codice libro della libreria NU-ING-00448262

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Descrizione libro Dover Publications Inc. 2008-03-28, New York, 2008. paperback. Condizione libro: New. Codice libro della libreria 9780486462769

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Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486462765 Brand New Book. Ships from the United States. 30 Day Satisfaction Guarantee!. Codice libro della libreria 4790162

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Descrizione libro Dover Publications Inc., 2008. PAP. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780486462769

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Descrizione libro Dover Publications Inc., 2008. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780486462769

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Descrizione libro Dover Publications. Paperback. Condizione libro: New. Paperback. 192 pages. Dimensions: 9.1in. x 6.1in. x 0.5in.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 Sectiona 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 lasttwenty-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. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Codice libro della libreria 9780486462769

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