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  1. The mathematics of harmony
    from Euclid to contemporary mathematics and computer science
    Autor*in: Stakhov, A. P., (Alekseĭ Petrovich)
    Erschienen: c2009
    Verlag:  World Scientific, Singapore

    Standort:
    Ostbayerische Technische Hochschule Amberg-Weiden / Hochschulbibliothek Amberg
    Fernleihe:
    uneingeschränkte Fernleihe, Kopie und Ausleihe

    Standort:
    Ostbayerische Technische Hochschule Amberg-Weiden, Hochschulbibliothek, Standort Weiden
    Fernleihe:
    uneingeschränkte Fernleihe, Kopie und Ausleihe
    Export in Literaturverwaltung   RIS-Format
      BibTeX-Format
    Hinweise zum Inhalt
    Quelle: Verbundkataloge
    Sprache: Englisch
    Medientyp: Ebook
    Format: Online
    ISBN: 9789812775825; 9789812775832; 981277582X; 9812775838
    Schriftenreihe: K & E series on knots and everything ; v. 22
    Schlagworte: MATHEMATICS / Number Theory; Goldener Schnitt; Fibonacci-Folge; mathematik; Ästhetik / Mathematik; Mathematik / Ästhetik; Computer science; Fibonacci numbers; Golden section; Mathematics; Geschichte; Informatik; Mathematik; Fibonacci numbers; Golden section; Mathematics; Computer science; Mathematik; Goldener Schnitt; Fibonacci-Folge
    Umfang: 1 Online-Ressource (xlix, 694 p.)
    Bemerkung(en):

    Includes bibliographical references and index

    Three "key" problems of mathematics on the stage of its origin -- Classical golden mean, Fibonacci numbers, and platonic solids -- The golden section -- Fibonacci and Lucas numbers -- Regular polyhedrons -- Mathematics of harmony -- Generalizations of Fibonacci numbers and the golden mean -- Hyperbolic Fibonacci and Lucas functions -- Fibonacci and golden matrices -- Application in computer science -- Algorithmic measurement theory -- Fibonacci computers -- Codes of the golden proportion -- Ternary mirror-symmetrical arithmetic -- A new coding theory based on a matrix approach -- Dirac's principle of mathematical beauty and the mathematics of harmony : clarifying the origins and development of mathematics -- Appendix : Museum of harmony and the golden section

    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
  2. The mathematics of harmony
    from Euclid to contemporary mathematics and computer science
    Erschienen: c2009
    Verlag:  World Scientific, Singapore

    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... mehr

    Zugang:
    Aggregator (lizenzpflichtig)

    Standort:
    Hochschule Aalen, Bibliothek
    Signatur:
    E-Book EBSCO
    Fernleihe:
    keine Fernleihe

    Standort:
    Hochschule Esslingen, Bibliothek
    Signatur:
    E-Book Ebsco
    Fernleihe:
    keine Fernleihe

    Standort:
    Saarländische Universitäts- und Landesbibliothek
    Fernleihe:
    keine Fernleihe

    Standort:
    Universitätsbibliothek der Eberhard Karls Universität
    Fernleihe:
    keine Fernleihe

     

    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

     
    Export in Literaturverwaltung   RIS-Format
      BibTeX-Format
    Hinweise zum Inhalt
    Quelle: Verbundkataloge
    Sprache: Englisch
    Medientyp: Ebook
    Format: Online
    ISBN: 9789812775832; 9812775838
    Schriftenreihe: K & E series on knots and everything ; v. 22
    Schlagworte: Mathematics; Fibonacci numbers; Golden section; Computer science; Mathematics; Computer science; Fibonacci numbers; Golden section; Mathematics; Goldener Schnitt; Fibonacci-Folge; mathematik; Ästhetik ; Mathematik; Mathematik ; Ästhetik; History; MATHEMATICS ; Number Theory
    Umfang: Online Ressource (xlix, 694 p.), ill. (some col.)
    Bemerkung(en):

    Includes bibliographical references and index. - Description based on print version record