GNOMON FROM PHARAOHS TO FRACTALS PDF

The beaver's tooth and the tiger's claw. Sunflowers and seashells. Fractals, Fibonacci sequences, and logarithmic spirals. These diverse forms of nature and mathematics are united by a common factor: all involve self-repeating shapes, or gnomons.

Author:Mauran Dilar
Country:Reunion
Language:English (Spanish)
Genre:Software
Published (Last):25 October 2019
Pages:62
PDF File Size:17.53 Mb
ePub File Size:10.81 Mb
ISBN:905-8-33580-393-7
Downloads:73983
Price:Free* [*Free Regsitration Required]
Uploader:Brabei



View Larger Image. Ask Seller a Question. Title: Gnomon From Pharaohs to Fractals. Publisher: Princeton U. The beaver's tooth and the tiger's claw.

Sunflowers and seashells. Fractals, Fibonacci sequences, and logarithmic spirals. These diverse forms of nature and mathematics are united by a common factor: all involve self-repeating shapes, or gnomons.

Almost two thousand years ago, Hero of Alexandria defined the gnomon as that form which, when added to some form, results in a new form, similar to the original. In a spiral seashell, for example, we see that each new section of growth the gnomon resembles its predecessor and maintains the shell's overall shape. He has a passion for numbers that is clear on every page, as he combines elegant mathematical explanations with compelling anecdotes and a rich variety of illustrations.

He begins by explaining the basic properties of gnomons and tracing the term--which originally meant "that which allows one to know"--to ancient Egyptian and Greek timekeeping.

He introduces us to continued fractions and guides us through the intricacies of Fibonacci sequences, ladder networks, whorled figures, the famous "golden number," logarithmic spirals, and fractals. This is an erudite, engaging, and beautifully produced work that will appeal to anyone interested in the wonders of geometry and mathematics, as well as to enthusiasts of mathematical puzzles and recreations.

How are the great pyramids like seashells? Ask mathematician Midhat J. Gazale, then brace yourself for a heady ride through the wilds of self-similar geometry in Gnomon: From Pharaohs to Fractals , his paean to the roiling mysteries that lie beneath the tranquil surfaces of such objects.

The great mathematician Hero of Alexandria defined a gnomon as an object that, when added to another, creates a new object similar in form to the original. Gazale, also of Alexandria, goes much further and uses 20th-century concepts to fully explore "gnomonicity"--the property of self-similarity. Be prepared for slow going: Gnomon is densely packed with information and concepts foreign to all but the professional mathematician, but Gazale's enthusiasm and brilliant illustrations win the day.

Whether he's moving on from the familiar golden rectangle to his own "silver pentagon" or rooting around in the numbers underlying the groovy fractal images popping up on T-shirts worldwide, he takes care to explain to the reader not just what's going on mathematically but what all this abstraction really means to us. Few science books, and even fewer mathematics books, achieve that kind of depth.

Visit Seller's Storefront. We ship 6 days a week, with most orders going out in 24 hours. The Abe charge system as do all credit card systems will not allow for the credit to be greater than the initial charge. International orders are shipped via AIR and should arrive in 7 to 10 days after shipping. Over sized items e. Sets containing 2 or more volumes, table size, 4to, folios and high cost items are sometimes subject to additional shipping charges; we will contact you if such is the case.

Orders shipped outside of the United States may be subject to import taxes, customs duties and fees levied by the destination country. International shipments may be subject to such import taxes, customs duties and fees, which are levied once a shipment reaches the recipient's country.

Additional charges for customs clearance must be borne by the recipient; we have no control over these charges and can't predict what they may be. Customs policies vary widely from country to country; you should contact your local customs office for more information.

When customs clearance procedures are required, it can cause delays beyond our original delivery estimates. List this Seller's Books. Payment Methods accepted by seller. AbeBooks Bookseller Since: February 12, Items related to Gnomon From Pharaohs to Fractals. Home Gazale, Midhat J. Gnomon From Pharaohs to Fractals.

Stock Image. Published by Princeton U. New Condition: New Hardcover. Save for Later. From edconroybooks Troy, NY, U. Shipping: Free Within U. About this Item full book description Princeton U. Clean, bright and tight. No ink names, tears, chips, foxing, etc. DJ now in a mylar sleeve. Book Type: Book. About this title Synopsis: The beaver's tooth and the tiger's claw. Visit Seller's Storefront Terms of Sale: We ship 6 days a week, with most orders going out in 24 hours.

More Information. Shipping Terms: International orders are shipped via AIR and should arrive in 7 to 10 days after shipping. Add to Wants.

KABULIWALA RABINDRANATH TAGORE 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.

DUUS TOPICAL DIAGNOSIS IN NEUROLOGY PDF

Gnomon: From Pharaohs to Fractals

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

Related Articles