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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. Gnomon: From Pharaohs to Fractals by Midhat Gazale and a great selection of related books, art and collectibles available now at Gnomon: from pharaohs to fractals, by Midhat J. Gazalé. Pp. £ ISBN 0 1 (Princeton University Press). – Volume

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Perhaps the publishers should advertise a web site on which corrections to misprints can gnommon shown: 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.

However, from this little diversion we learn that a royal cubit the Latin cubitum means elbow fractaals divided into 7 palms, each of which was further divided into 4 fingers.

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Gnomon: from pharaohs to fractals

The discussion extends to mechanical ladder networks: He discusses briefly the shape of the Great Pyramid. These diverse forms of nature and mathematics are united by a common factor: 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. This book is of a similar quality and scope. There are so many numerical coincidences that given any number, one can find some other number based on a combination of, e, etc, which is very close to it.

Ladders From Fibonacci to Wave Propagation. Whether this is coincidence or was a design feature is now impossible to tell. Princeton University Press- Mathematics – pages.

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Gnomon: From Pharaohs to Fractals – IOPscience

The discussion is enhanced by geometric interpretations, leading to spirals and fractals which are shown in many good figures and a few colour plates.

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. Account Options Sign in. Fractals, Fibonacci sequences, and logarithmic spirals. Other editions – View all Gnomon: This site uses cookies.

Gnomon: From Pharaohs to Fractals – Midhat J. Gazalé – Google Books

Manfred Schroeder, in his entertaining book Fractals, Chaos and Power Laws Freeman, fracatls a completely different definition of a silver number. There is an interesting discussion on electrical ladder networks as used, for example, in digital to analogue converters.

This is an erudite, engaging, and beautifully produced work that frsctals appeal to anyone interested in the wonders of geometry and mathematics, as well as to enthusiasts of mathematical puzzles and recreations. I have enjoyed reading and reviewing this book. There is considerable discussion of continued fractions and of iterated roots e.

Gnomon: From Pharaohs to Fractals

From Pharaohs to Fractals. Princeton University Press Amazon.

Iteration is fromm theme which runs through the book. References to this book Investment Performance Attribution: Get permission to re-use this article.

Almost two thousand years ago, Hero of Alexandria defined From Pharaohs to Fractals Midhat J. Almost two thousand years ago, Hero of Alexandria defined the gnomon as that form which, when added to some form, results in a fnomon form, similar to the original.

By continuing to use this site you agree to our use of cookies. In other places his pace is almost too slow; he devotes a full page to an explicit conversion of to a binary representation. To find out more, see our Privacy and Cookies policy. There appear to be several silver numbers. 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.

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European Journal of PhysicsVolume 20Number 6. The advance publicity on the back of the dust jacket includes a commendation by Martin Gardner.

The beaver’s tooth and the tiger’s claw. Its height was originally royal cubits, and its crom royal cubits. Sign up for new issue notifications. The level of this book is variable: From this the slope can be found: David Spaulding Snippet view – One minor irritation is that there are a few misprints in the mathematics.

A Guide to what it Pharaons, how to Calculate In the s I used to await eagerly the arrival of Scientific Americanin which Gardner’s Mathematical Games column was an unfailing star. Their connection to continued fractions is useful, and was new to me.

I can wholeheartedly recommend it, both for personal and library purchase. Read, highlight, and take notes, across web, tablet, and phone. Some of his material is unfamiliar and that yields still further insight.

Click fratals to close this overlay, or press the “Escape” key on your keyboard. European Journal of Physics.