The Resource Indra's pearls : the vision of Felix Klein, David Mumford, Caroline Series and David Wright ; with cartoons by Larry Gonick
Indra's pearls : the vision of Felix Klein, David Mumford, Caroline Series and David Wright ; with cartoons by Larry Gonick
- 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 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."--Jacket
- Language
- eng
- Extent
- 1 online resource (xix, 395 pages)
- Note
- Includes index
- 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
- Isbn
- 9780511065309
- Label
- Indra's pearls : the vision of Felix Klein
- Title
- Indra's pearls
- Title remainder
- the vision of Felix Klein
- Statement of responsibility
- David Mumford, Caroline Series and David Wright ; with cartoons by Larry Gonick
- Language
- eng
- 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 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."--Jacket
- Cataloging source
- INU
- Dewey number
- 514/.742
- Illustrations
- illustrations
- Index
- index present
- LC call number
- QA447
- LC item number
- .M86 2002eb
- Literary form
- non fiction
- Nature of contents
- dictionaries
- Label
- Indra's pearls : the vision of Felix Klein, David Mumford, Caroline Series and David Wright ; with cartoons by Larry Gonick
- Note
- Includes index
- http://library.link/vocab/branchCode
-
- net
- Carrier category
- online resource
- Carrier category code
- cr
- Carrier MARC source
- rdacarrier
- Color
- multicolored
- Content category
- text
- Content type code
- txt
- Content type MARC source
- rdacontent
- 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
- Control code
- ocm70763570
- Dimensions
- unknown
- Extent
- 1 online resource (xix, 395 pages)
- Form of item
- online
- Isbn
- 9780511065309
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
- c
- Other physical details
- illustrations (some color)
- http://library.link/vocab/recordID
- .b36543184
- Specific material designation
- remote
- System control number
-
- (OCoLC)70763570
- sks0511065302
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.deakin.edu.au/portal/Indras-pearls--the-vision-of-Felix-Klein-David/0_lOIrnAiD4/" typeof="CreativeWork http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.deakin.edu.au/portal/Indras-pearls--the-vision-of-Felix-Klein-David/0_lOIrnAiD4/">Indra's pearls : the vision of Felix Klein, David Mumford, Caroline Series and David Wright ; with cartoons by Larry Gonick</a></span> - <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.library.deakin.edu.au/#Deakin%20University%20Library"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.deakin.edu.au/">Deakin University Library</a></span></span></span></span></div>
