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E-grāmata: Beyond Measure: A Guided Tour Through Nature, Myth and Number illustrated edition [World Scientific e-book]

(New Jersey Inst Of Technology, Usa)
  • Formāts: 616 pages
  • Sērija : Series on Knots & Everything 28
  • Izdošanas datums: 01-Dec-2002
  • Izdevniecība: World Scientific Publishing Co Pte Ltd
  • ISBN-13: 9789812778444
Citas grāmatas par šo tēmu:
  • World Scientific e-book
  • Cena: 172,68 €*
  • * this price gives unlimited concurrent access for unlimited time
  • Formāts: 616 pages
  • Sērija : Series on Knots & Everything 28
  • Izdošanas datums: 01-Dec-2002
  • Izdevniecība: World Scientific Publishing Co Pte Ltd
  • ISBN-13: 9789812778444
Citas grāmatas par šo tēmu:
This book consists of essays that stand on their own but are also loosely connected. Part I documents how numbers and geometry arise in several cultural contexts and in nature: the ancient musical scale, proportion in architecture, ancient geometry, megalithic stone circles, the hidden pavements of the Laurentian library, the shapes of the Hebrew letters, and the shapes of biological forms. The focus is on how certain numbers, such as the golden and silver means, present themselves within these systems. Part II shows how many of the same numbers and number sequences are related to the modern mathematical study of numbers, dynamical systems, chaos, and fractals.
Essays in Geometry and Number as They Arise in Nature, Music,
Architecture and Design: The Spiral in Nature and Myth; The Vortex of Life;
Harmonic Law; The Projective Nature of the Musical Scale; The Music of the
Spheres; Tangrams and Amish Quilts; Linking Proportions, Architecture, and
Music; A Secret of Ancient Geometry; The Hyperbolic Brunes Star; The Hidden
Pavements of the Laurentian Library; Measure in Megalithic Britain; The
Flame-hand Letters of the Hebrew Alphabet; Concepts Described in Part I
Reappear in the Context of Fractals, Chaos, Plant Growth and Other Dynamical
Systems: Self-Referential Systems; Nature's Number System; Number: Gray Code
and the Towers of Hanoi; Gray Code, Sets, and Logic; Chaos Theory: A
Challenge to Predictability; Fractals; Chaos and Fractals; The Golden Mean;
Generalizations of the Golden Mean -- I; Generalizations of the Golden Mean
-- Il; Polygons and Chaos; Growth of Plants: A Study in Number; Dynamical
Systems.