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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The level of this book is variable: Click here to close this overlay, or press the pharaobs key on your keyboard. Their connection to continued fractions is useful, and was new to me.

Gnomon: from pharaohs to fractals

Ladders From Fibonacci to Wave Propagation. One minor irritation is that there are a few misprints in the mathematics. My library Help Advanced Book Search. 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.

To find out more, see our Privacy and Cookies policy. 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. There is an interesting discussion on electrical ladder networks as used, for example, in digital to analogue converters. In the s I used to await eagerly the arrival of Scientific Americanin which Gardner’s Mathematical Games column was an unfailing star.


References to this book Investment Performance Attribution: There is considerable discussion of continued fractions and of iterated roots e. In other places his pace is almost too slow; he devotes a full page to an explicit conversion of to a binary representation. The beaver’s ftactals and the tiger’s claw.

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

Iteration is a theme which runs through the book. Account Options Sign in. The advance publicity on the back of the dust jacket includes a commendation by Martin Gardner.

The discussion is enhanced by geometric interpretations, leading to spirals and fractals which are shown in many good figures and a few colour plates. David Spaulding Snippet view – Whether this is coincidence or was a design feature is now impossible to tell.

Gnomon: From Pharaohs to Fractals

Manfred Schroeder, in his entertaining book Fractals, Chaos and Power Laws Freeman, has a completely different definition of a silver number. This site uses cookies.

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.


Figurate and madic Numbers. By continuing to use this site you agree to our use of cookies. European Journal of PhysicsVolume 20Number 6. Get permission to re-use this article. A Guide to what it Is, how to Calculate From Pharaohs to Fractals Midhat J.

I have enjoyed reading and reviewing this book.

He discusses briefly the shape of the Great Pyramid. These diverse forms of ffractals and mathematics are united by a common factor: Princeton University Press Amazon. However, from this little diversion we learn that a royal cubit the Latin cubitum means elbow was pharaosh into 7 palms, each of which was further divided into 4 fingers. There appear to be several silver numbers.

I can wholeheartedly recommend it, both for personal and library purchase. 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.

Princeton University Press- Mathematics – pages.