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

Whether this is coincidence or was a design feature is now impossible to tell. Iteration is a theme which runs through the book. From Pharaohs to Fractals Midhat J. Fractals, Fibonacci sequences, pnaraohs logarithmic spirals. 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.

Gnomon: From Pharaohs to Fractals – IOPscience

Other editions – View all Gnomon: I have enjoyed reading and reviewing this book. One minor irritation is that there are a few misprints in phxraohs mathematics. Its height was originally royal cubits, and its base royal cubits. 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.


Some of his material fracfals unfamiliar and that yields still further insight. Princeton University Press- Mathematics – pages. He introduces us to continued fractions and guides us through the intricacies of Fibonacci sequences, ladder networks, whorled figures, the famous bnomon number,” logarithmic spirals, and fractals.

Princeton University Press Amazon. Ladders From Fibonacci to Wave Propagation. Read, highlight, and take notes, across web, tablet, and phone. There appear to be several silver numbers.

The discussion is enhanced by geometric interpretations, leading to spirals and fractals which are shown in many good figures and a few colour plates. This site uses cookies. Their connection to continued fractions is useful, and was new to me. From Pharaohs to Fractals.

These diverse forms of nature and mathematics are united by a common factor: David Spaulding Snippet view – The level of this book is variable: To find out more, see our Privacy and Cookies policy. There is considerable discussion of continued fractions and of iterated roots e.

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

From this the slope can be found: There is an interesting discussion on electrical ladder networks as used, for example, in digital to analogue converters.

He has a passion for numbers that pharsohs clear on every page, as he combines elegant mathematical explanations with compelling anecdotes and a rich variety of illustrations.

The advance publicity on the back of the dust jacket includes a commendation by Martin Gardner. In other places his pace is almost too slow; he devotes a full page to an explicit conversion of to a binary representation.


Gnomon: From Pharaohs to Fractals

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. The discussion extends to mechanical ladder networks: European Journal of Physics. By continuing to use this site you agree to our use of cookies. 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.

Figurate and madic Gnomln. My library Help Advanced Book Search. A Guide to what it Is, how to Calculate Perhaps the publishers should advertise a web site on which corrections to misprints can gnimon shown: European Journal of PhysicsVolume 20Number 6. In the s I used to await eagerly the arrival of Scientific Americanin which Gardner’s Mathematical Games column was an unfailing star. Almost two thousand years ago, Hero of Alexandria defined He discusses briefly the shape of the Great Pyramid.

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