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The Mathematics of Harmony
Assisted by Scott Olsen (Central Florida Community College, USA) 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 ?golde...
Information Science
This interdisciplinary resource on information management covers storing and transferring information, and how information is organized, accessed, interpreted, distributed, and used. It includes the subjects of computer science, library science, artificial intelligence, engineering, linguistics, psychology, mathematics of programming, and the theory of problem solving. Readers learn about documentation, cataloging and classification, and archives and record management. Information research and publishing, as well as digital technologies and libraries, are explored. With the explosion in data processing technology and its use by individuals, companies, and academic institutions, the need for organizing and managing information and systems today has never been more vital.
GEOMETRY WITH THE EYES
This book is the result of fifteen years of studies on art, in collaboration with mathematicians (in particular Jean-Paul Guichard and the IREM of Poitiers). Until the Renaissance, the composition of painting and architecture was based on a specific geometry, called with the eyes. Its adventure began before writing, and books report nothing about. This practice avoids calculation for fear of scaring numbers, thanks to a grid where the figures are constructed. Thales, like many Greek philosophers, went to Egypt to learn it - he will give his name to the axioms. Then, all the properties are demonstrated with visual evidences, qualified as monstrations, in particular the four manifestations of the golden ratio in the triangle 3-4-5. This book offers a rich pedagogical material, as well as a solid basis for reflection on art and history. Rublev, Botticelli and Dürer are the great masters of this art. The color images for the screen, and the B/W for print, are accessible on the Internet.
The Golden Section
What was the great and golden secret known to Leonardo Da Vinci, Kepler, Plato and the ancient magicians? Why were they forbidden to reveal it? Can there really be a key to nature and life itself? In this small but compact volume divine proportion supersleuth Dr Olsen unravels perhaps the greatest mystery of all time, a code that seems to underly life, the universe and everything, a pattern we instinctively recognise as beautiful, and which nature herself uses at every scale. WOODEN BOOKS US EDITIONS. Small books, BIG ideas. Tiny but packed with information. "Stunning" NEW YORK TIMES. "Fascinating" FINANCIAL TIMES. "Beautiful" LONDON REVIEW OF BOOKS. "Rich and Artful" THE LANCET. "Genuinely mind-expanding" FORTEAN TIMES. "Excellent" NEW SCIENTIST.
New York's Forests
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Designa
Have you ever stared at patterned wallpaper and wondered how it was designed? Been captivated by some priceless Celtic art? Or boggled at a beautiful Islamic pattern? Have you ever stepped back and thought about the illusion of reality your senses create for you? Or pondered the symmetries which inform your feelings of what seems right? Is there a Golden secret, revealed by nature herself, which is common to all of the traditional arts? Packed with information and exquisite illustrations by more than twelve expert authors, Designa is the ultimate sourcebook for visual artists and designers of every kind.
