The Mathematics of Harmony: From Euclid to Contemporary Mathematics and Computer Science (Google eBook)

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World Scientific, 2009 - Computers - 694 pages
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Contents

Three Key Problems of Mathematics on the Stage
Acknowledgements xxxix
Classical Golden Mean Fibonacci
1
xvi
6
Fibonacci and Lucas Numbers
60
xiv
83
Regular Polyhedrons
137
Generalizations of Fibonacci Numbers and the Golden Mean
186
Application in Computer Science
359
Fibonacci Computers
416
Codes of the Golden Proportion
476
Ternary Mirror Symmetrical Arithmetic
523
xviii
569
Epilogue Diracs Principle of Mathematical Beauty and the Mathematics
615
Three Key Problems of Mathematics and a New Approach
632
the Golden Information
646

Hyperbolic Fibonacci and Lucas Functions
255
StakhovRozin Definition
277
Fibonacci and Golden Matrices
317
Matrices and their Powers
343
References
661
Museum of Harmony and Golden Section
675
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About the author (2009)

Dr. Olsen is one of the leading experts on the Golden Section, and an Associate Professor of Philosophy at Central Florida Community College in Ocala, Florida..

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