GNOMON FROM PHARAOHS TO FRACTALS PDF

View Larger Image. Ask Seller a Question. Title: Gnomon From Pharaohs to Fractals. Publisher: Princeton U.

Author:Kagagis Kigasho
Country:Mauritania
Language:English (Spanish)
Genre:Personal Growth
Published (Last):2 July 2006
Pages:205
PDF File Size:14.86 Mb
ePub File Size:5.3 Mb
ISBN:357-5-98359-574-2
Downloads:32627
Price:Free* [*Free Regsitration Required]
Uploader:Zulugar



In the words of the author "The theme of this book is self-similarity, which I call gnomonicity. The connotation of the term gnomon is that originally given by Hero of Alexandria, namely, 'A Gnomon is that form that, when added to some form, results in a new form similar to the original. The most familiar form of a gnomon is the L-shaped object of that name the gnomon of a square that serves as the pointer on most sundials. This observation virtually completes the "Pharaohs" end of the story mentioned in the title.

Figurate numbers have familiar gnomons. Other figures have analogous gnomons. Continued fractions have obvious gnomonic tendencies, especially those with periodic regular representations. These lead naturally into physics, where ladder networks of resistors or capacitors are gnomonic, and their analysis leads back through continued fractions. Most of us have seen the gnomonic properties relating the golden rectangle, the golden ratio and the Fibonacci numbers. In particular, the golden ratio, called phi in this book, is the limit of the ratios of consecutive Fibonacci numbers.

If you construct a rectangle of sides 1 and phi, then the resulting rectangle is gnomonic and its gnomon is a square. This pentagon is also gnomonic, and its gnomon is an equilateral triangle.

Bernoulli loved them, too, but the exposition has more rotation matrices than most readers will enjoy. Finally, we get to the other end of the programme announced in the title, fractals. He adapts this to form a Kronecker sum of vectors, and then adapts that to give sequences that can be read as instructions on drawing images of fractals.

It is an interesting approach, but again at times he lets the ideas be hidden by the notation. In sum, this reader found the book generally interesting, though at times over-burdened with notation. There is a considerable variety of topics here, all linked by the unifying concept of gnomonicity.

Ed Sandifer sandifer wcsu. Skip to main content. Search form Search. Login Join Give Shops. Halmos - Lester R. Ford Awards Merten M. Midhat J. Publication Date:. Number of Pages:. Mathematics for the General Reader.

Log in to post comments.

BRUBAKER NATIONALISM REFRAMED PDF

Midhat J. Gazalé

In the words of the author "The theme of this book is self-similarity, which I call gnomonicity. The connotation of the term gnomon is that originally given by Hero of Alexandria, namely, 'A Gnomon is that form that, when added to some form, results in a new form similar to the original. The most familiar form of a gnomon is the L-shaped object of that name the gnomon of a square that serves as the pointer on most sundials. This observation virtually completes the "Pharaohs" end of the story mentioned in the title. Figurate numbers have familiar gnomons. Other figures have analogous gnomons.

BLITZMAX TUTORIAL PDF

Gnomon from Pharaohs to Fractals by Midhat Gazale

Published by Princeton U. Press, rinceton, NJ Seller Rating:. About this Item: Princeton U.

MARGABANDHU STOTRAM PDF

We apologize for the inconvenience...

.

EBOX NETWORK ADMINISTRATORS PDF

Gnomon: From Pharaohs to Fractals

.

Related Articles