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The Fabulous Fibonacci Numbers~tqw~_darksiderg
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INFO
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Title................: The Fabulous Fibonacci Numbers
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 28.1 MB
Torrent Hash.........: CF68145C93D535E6340C23281D8EE12F5BD36EBD
Posted by............: ~tqw~
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CONTENTS
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Synopsis:
The most ubiquitous, and perhaps the most intriguing, number pattern in
mathematics is the Fibonacci sequence. In this simple pattern beginning
with two ones, each succeeding number is the sum of the two numbers
immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far
from being just a curiosity, this sequence recurs in structures found
throughout nature-from the arrangement of whorls on a pinecone to the
branches of certain plant stems. All of which is astounding evidence for
the deep mathematical basis of the natural world.
Table Of Contents:
Acknowledgments 9
Introduction 11
Chapter 1: A History and Introduction to the Fibonacci Numbers 17
Chapter 2: The Fibonacci Numbers in Nature 59
Chapter 3: The Fibonacci Numbers and the Pascal Triangle 77
Chapter 4: The Fibonacci Numbers and the Golden Ratio 107
Chapter 5: The Fibonacci Numbers and Continued Fractions 161
Chapter 6: A Potpourri of Fibonacci Number Applications 177
Chapter 7: The Fibonacci Numbers Found in Art and Architecture 231
Chapter 8: The Fibonacci Numbers and Musical Form 271
Chapter 9: The Famous Binet Formula for Finding a Particular Fibonacci Number
Chapter 10: The Fibonacci Numbers and Fractals
Epilogue Afterword by Herbert A. Hauptman
Appendix A: List of the First 500 Fibonacci Numbers, with the First 200 Fibonacci
Numbers
Factored 343
Appendix B: Proofs of Fibonacci Relationships 349
References 371
Index 375
Product Details:
* ISBN: 1591024757
* ISBN-13: 9781591024750
* Format: Hardcover, 385pp
* Publisher: Prometheus Books
* Pub. Date: June 2007
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Greetz Fellow UL'ers
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