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Displaying results 1 to 4 of 4.

  1. Transcendence and linear relations of 1-periods
    Author: Huber, Annette; Wüstholz, Gisbert
    Published: 2022
    Publisher:  Cambridge University Press, Cambridge

    Location:
    Bibliothek des Fachbereichs Mathematik und Informatik der Universität
    Signature:
    Hube / 41341
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    Location:
    Universitätsbibliothek Trier
    Signature:
    XB/c18125-227
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    Content information
    Source: Union catalogues
    Language: English
    Media type: Book
    ISBN: 9781316519936
    Other identifier:
    Series: Cambridge tracts in mathematics ; 227
    Subjects: Kategorientheorie; Transzendente Zahl; Motiv <Mathematik>; Kohomologie; Gruppentheorie
    Other subjects: Transcendental numbers; Motives (Mathematics); Algebraic fields; MATHEMATICS / Number Theory
    Scope: xx, 243 Seiten, Illustrationen
  2. The mathematics of harmony
    from Euclid to contemporary mathematics and computer science
    Author: Stakhov, A. P., (Alekseĭ Petrovich)
    Published: c2009
    Publisher:  World Scientific, Singapore

    Location:
    Ostbayerische Technische Hochschule Amberg-Weiden / Hochschulbibliothek Amberg
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    Location:
    Ostbayerische Technische Hochschule Amberg-Weiden, Hochschulbibliothek, Standort Weiden
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    Content information
    Source: Union catalogues
    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9789812775825; 9789812775832; 981277582X; 9812775838
    Series: K & E series on knots and everything ; v. 22
    Subjects: 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
    Scope: 1 Online-Ressource (xlix, 694 p.)
    Notes:

    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
  3. Transcendence and linear relations of 1-periods
    Author: Huber, Annette; Wüstholz, Gisbert
    Published: 2022
    Publisher:  Cambridge University Press, Cambridge

    Location:
    Universitäts- und Landesbibliothek Münster, Zentralbibliothek
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    Location:
    Universitätsbibliothek Trier
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    Content information
    Source: Union catalogues
    Language: English
    Media type: Book
    Format: Print
    ISBN: 9781316519936
    Other identifier:
    Series: Cambridge tracts in mathematics ; 227
    Subjects: Transcendental numbers; Motives (Mathematics); Algebraic fields; MATHEMATICS / Number Theory
    Scope: xx, 243 Seiten, Illustrationen
  4. Transcendence and linear relations of 1-periods
    Author: Huber, Annette; Wüstholz, Gisbert
    Published: 2022
    Publisher:  Cambridge University Press, Cambridge

    Location:
    Niedersächsische Staats- und Universitätsbibliothek Göttingen
    Signature:
    2023 A 5096
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    Location:
    Technische Informationsbibliothek (TIB) / Leibniz-Informationszentrum Technik und Naturwissenschaften und Universitätsbibliothek
    Signature:
    ZA 681(227)
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    Location:
    Mathematisches Forschungsinstitut Oberwolfach gGmbH, Bibliothek
    Signature:
    M/Huber, A
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    Location:
    Universitätsbibliothek Stuttgart
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    Location:
    Fachbibliothek Mathematik und Physik / Bereich Mathematik
    Signature:
    Hube
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    No loan of volumes, only paper copies will be sent
    Export to reference management software   RIS file
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    Source: Union catalogues
    Language: English
    Media type: Book
    Format: Print
    ISBN: 9781316519936
    Other identifier:
    Series: Cambridge tracts in mathematics ; 227
    Subjects: Transcendental numbers; Motives (Mathematics); Algebraic fields; MATHEMATICS / Number Theory
    Scope: xx, 243 Seiten, Illustrationen, 24 cm