skip to content
Indra's pearls : the vision of Felix Klein Preview this item
ClosePreview this item
Checking...

Indra's pearls : the vision of Felix Klein

Author: David Mumford; Caroline Series; David James Wright
Publisher: Cambridge ; New York : Cambridge University Press, 2002.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
"Felix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple co-existing symmetries, each simple in itself, but whose  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Named Person: Felix Klein; Félix Klein; Felix Klein
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: David Mumford; Caroline Series; David James Wright
ISBN: 0521352533 9780521352536
OCLC Number: 49859120
Notes: Includes index.
Description: xix, 395 p. : ill. (some col.) ; 26 cm.
Contents: The language of symmetry --
A delightful fiction --
Double spirals and Möbius maps --
The Schottky dance --
Fractal dust and infinite words --
Indra's necklace --
The glowing gasket --
Playing with parameters --
Accidents will happen --
Between the cracks --
Crossing boundaries --
Epilogue --
Index --
Road map.
Responsibility: David Mumford, Caroline Series, and David Wright ; with cartoons by Larry Gonick.
More information:

Abstract:

A highly illustrated realization of infinitely reflected images related to fractals, chaos and symmetry.  Read more...

Reviews

Editorial reviews

Publisher Synopsis

'I rarely feel a certain kind of euphoria by just looking at the cover of a mathematics book. But that happened with Indra's Pearls: The Vision of Felix Klien ... fantastic illustrations together Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


<http://www.worldcat.org/oclc/49859120>
library:oclcnum"49859120"
library:placeOfPublication
library:placeOfPublication
library:placeOfPublication
rdf:typeschema:Book
rdf:typeschema:MediaObject
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:contributor
schema:contributor
schema:creator
schema:datePublished"2002"
schema:description"The language of symmetry -- A delightful fiction -- Double spirals and Möbius maps -- The Schottky dance -- Fractal dust and infinite words -- Indra's necklace -- The glowing gasket -- Playing with parameters -- Accidents will happen -- Between the cracks -- Crossing boundaries -- Epilogue -- Index -- Road map."@en
schema:exampleOfWork<http://worldcat.org/entity/work/id/793881741>
schema:inLanguage"en"
schema:name"Indra's pearls : the vision of Felix Klein"@en
schema:numberOfPages"395"
schema:publication
schema:publisher
schema:reviews
rdf:typeschema:Review
schema:itemReviewed<http://www.worldcat.org/oclc/49859120>
schema:reviewBody""Felix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple co-existing symmetries, each simple in itself, but whose interactions produce fractals on the edge of chaos. For a century these images, which were practically impossible to draw by hand, barely existed outside the imagination of mathematicians. However in the 1980s the authors embarked on the first computer exploration of Klein's vision, and in so doing found further extraordinary images of their own. Join the authors on the path from some basic mathemathical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can learn to understand what the images mean and follow the step-by-step instructions for writing computer programs that generate them. More advanced readers can see how the images relate to ideas that take them to the forefront of research."--BOOK JACKET."
schema:workExample
wdrs:describedby

Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.