The mathematics of harmony: from Euclid to contemporary mathematics and computer science
This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the "Mathematics of Harmony," a new interdisciplinary directio...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2009
|
| Schriftenreihe: | K & E series on knots and everything
v. 22 |
| Schlagworte: | |
| Online-Zugang: | FHN01 URL des Erstveroeffentlichers |
| Zusammenfassung: | This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the "Mathematics of Harmony," a new interdisciplinary direction of modern science. This direction has its origins in "The Elements" of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the "golden" algebraic equations, the generalized Binet formulas, Fibonacci and "golden" matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and "golden" matrices). The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science |
| Beschreibung: | xlix, 693 p. ill. (some col.), ports |
| ISBN: | 9789812775832 |
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Datensatz im Suchindex
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| discipline | Mathematik |
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| id | DE-604.BV044635035 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:57:46Z |
| institution | BVB |
| isbn | 9789812775832 |
| language | English |
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| spelling | Stakhov, A. P. Verfasser aut The mathematics of harmony from Euclid to contemporary mathematics and computer science Alexey Stakhov ; assisted by Scott Olsen Singapore World Scientific Pub. Co. c2009 xlix, 693 p. ill. (some col.), ports txt rdacontent c rdamedia cr rdacarrier K & E series on knots and everything v. 22 This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the "Mathematics of Harmony," a new interdisciplinary direction of modern science. This direction has its origins in "The Elements" of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the "golden" algebraic equations, the generalized Binet formulas, Fibonacci and "golden" matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and "golden" matrices). The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science Geschichte gnd rswk-swf Fibonacci numbers Golden section Mathematics / History Computer science Mathematik (DE-588)4037944-9 gnd rswk-swf Fibonacci-Folge (DE-588)4249138-1 gnd rswk-swf Goldener Schnitt (DE-588)4021529-5 gnd rswk-swf Fibonacci-Folge (DE-588)4249138-1 s Goldener Schnitt (DE-588)4021529-5 s Mathematik (DE-588)4037944-9 s Geschichte z 1\p DE-604 Olsen, Scott Anthony Sonstige oth Erscheint auch als Druck-Ausgabe 9789812775825 (hbk.) Erscheint auch als Druck-Ausgabe 981277582X (hbk.) http://www.worldscientific.com/worldscibooks/10.1142/6635#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Stakhov, A. P. The mathematics of harmony from Euclid to contemporary mathematics and computer science Fibonacci numbers Golden section Mathematics / History Computer science Mathematik (DE-588)4037944-9 gnd Fibonacci-Folge (DE-588)4249138-1 gnd Goldener Schnitt (DE-588)4021529-5 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4249138-1 (DE-588)4021529-5 |
| title | The mathematics of harmony from Euclid to contemporary mathematics and computer science |
| title_auth | The mathematics of harmony from Euclid to contemporary mathematics and computer science |
| title_exact_search | The mathematics of harmony from Euclid to contemporary mathematics and computer science |
| title_full | The mathematics of harmony from Euclid to contemporary mathematics and computer science Alexey Stakhov ; assisted by Scott Olsen |
| title_fullStr | The mathematics of harmony from Euclid to contemporary mathematics and computer science Alexey Stakhov ; assisted by Scott Olsen |
| title_full_unstemmed | The mathematics of harmony from Euclid to contemporary mathematics and computer science Alexey Stakhov ; assisted by Scott Olsen |
| title_short | The mathematics of harmony |
| title_sort | the mathematics of harmony from euclid to contemporary mathematics and computer science |
| title_sub | from Euclid to contemporary mathematics and computer science |
| topic | Fibonacci numbers Golden section Mathematics / History Computer science Mathematik (DE-588)4037944-9 gnd Fibonacci-Folge (DE-588)4249138-1 gnd Goldener Schnitt (DE-588)4021529-5 gnd |
| topic_facet | Fibonacci numbers Golden section Mathematics / History Computer science Mathematik Fibonacci-Folge Goldener Schnitt |
| url | http://www.worldscientific.com/worldscibooks/10.1142/6635#t=toc |
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