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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He begins by explaining the basic properties of gnomons and tracing the term–which originally meant “that which allows one to know”–to fracctals 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.

These diverse forms of nature and mathematics are united by a common factor: There appear to be several silver numbers.

Read, highlight, and take notes, across web, tablet, and phone. There is considerable discussion of continued fractions and of iterated roots e. By frcatals to use this site you agree to our use of cookies.

This book is of a similar quality and scope. Whether this is coincidence or was a design feature is now impossible to tell.

Gnomon: from pharaohs to fractals – PDF Free Download

This site uses cookies. In the s Ffrom used to await eagerly the arrival of Scientific Americanin which Gardner’s Mathematical Games column was an unfailing star.

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References to this book Investment Performance Attribution: I have enjoyed reading and reviewing this book. The discussion is fractlas by geometric interpretations, leading to spirals and fractals which are shown in many good figures and a few colour plates.

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. The discussion extends to mechanical ladder networks: Other editions – View all Gnomon: There is an interesting discussion on electrical ladder frpm as used, for example, in digital to analogue converters.

Almost two thousand years ago, Hero of Alexandria defined 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.

Gnomon: from pharaohs to fractals

My library Help Advanced Book Search. Its height was originally royal cubits, and its base royal cubits. Click here pharaphs close this overlay, or press the “Escape” key on your keyboard.

To find out more, see our Privacy and Cookies policy. Sign up for new issue notifications. Ladders From Fibonacci to Wave Propagation.

The level of this book is variable: European Journal of Physics. 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.


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

He discusses briefly the shape of the Great Pyramid. From Pharaohs to Fractals. Princeton University Press- Mathematics – pages. Iteration is a theme which runs through the book.

Gnomon: From Pharaohs to Fractals

David Spaulding Snippet view – In a go seashell, for example, we see that each new section pyaraohs 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. Feom this the slope can be found: Manfred Schroeder, in his entertaining book Fractals, Chaos and Power Laws Freeman, has a completely different definition of a silver number. 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.

Their connection to continued fractions is useful, and was new to me.