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

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
Creator
Contributor
Subject
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
Publication
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

Library Locations

    • Deakin University Library - Geelong Waurn Ponds CampusBorrow it
      75 Pigdons Road, Waurn Ponds, Victoria, 3216, AU
      -38.195656 144.304955
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