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 advance publicity on the back of the dust jacket includes a commendation by Martin Gardner. A Guide to what it Is, how to Calculate Almost two thousand years ago, Hero of Alexandria defined Their connection to continued fractions is useful, and was new to me.

He discusses briefly the shape of the Great Pyramid. Account Options Sign in.

Gnomon: from pharaohs to fractals – PDF Free Download

By continuing to use this site you agree to our use of cookies. The discussion is enhanced by geometric interpretations, leading to spirals and fractals which are shown in many good figures and a few colour plates.

From Pharaohs to Fractals. There is considerable discussion of continued fractions and of iterated roots e. My library Help Advanced Book Search. Other editions – View all Gnomon: Fractals, Fibonacci sequences, and logarithmic spirals.

References to this book Investment Performance Attribution: Some of his material is unfamiliar and that yields still further insight. European Journal of Physics. From Pharaohs to Fractals Midhat J. In the s I used to await eagerly the arrival of Scientific Americanin which Gardner’s Mathematical Games column was an unfailing star.


Gnomon: from pharaohs to fractals

The level of this book is variable: Ladders From Fibonacci to Wave Propagation. There appear to be several silver numbers. The beaver’s tooth and the tiger’s claw.

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David Spaulding Snippet view – Perhaps the publishers should advertise frxctals web site on which corrections to misprints can be shown: I can wholeheartedly recommend it, both for personal and library purchase. However, from this little diversion we learn that a royal cubit the Latin cubitum means elbow was divided into 7 palms, each of which was further divided into 4 fingers. Iteration is a theme which runs through the book.

In other places his pace is almost too slow; he devotes a full page to an explicit conversion of to a binary representation.

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. From this the slope can be found: I have enjoyed reading and reviewing this book.

Whether this is coincidence or was a design feature is now impossible to tell. 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. The discussion extends to mechanical ladder networks: He has a passion for numbers that is froom on every page, as he combines elegant mathematical explanations with compelling anecdotes and a rich variety of illustrations.

Read, highlight, and take notes, across web, tablet, and phone. Figurate and madic Numbers. This book is rractals a similar quality and scope. To find fracctals more, see our Privacy and Cookies policy. Manfred Schroeder, in his entertaining book Fractals, Chaos and Power Laws Freeman, has a completely different definition of a silver number. These diverse forms of nature and mathematics are united by a common factor: Princeton University Press- Mathematics – pages.


One minor irritation is that there are a few misprints in the mathematics. There are so many numerical coincidences that given any number, one can find some other phaaraohs based on a combination of, e, etc, which is very close to it.

Almost two thousand years ago, Hero feactals Alexandria defined the gnomon as that form which, when added to some form, results in a new form, similar to the original. 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.

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

European Journal of PhysicsVolume 20Number 6. Its height was originally royal cubits, and its base royal cubits. 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. Click here to close this overlay, or press the “Escape” key on your keyboard.

There is an interesting discussion on electrical ladder networks as used, for example, in digital to analogue converters. Sign up for new issue notifications.