Indra's pearls: the vision of Felix Klein (Record no. 54698)
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000 -LEADER | |
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fixed length control field | 01894 a2200241 4500 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 210321b ||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9781107564749 |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 514.742 |
Item number | MUM |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Mumford, David |
245 ## - TITLE STATEMENT | |
Title | Indra's pearls: the vision of Felix Klein |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Name of publisher, distributor, etc | Cambridge University Press, |
Date of publication, distribution, etc | 2015. |
Place of publication, distribution, etc | Cambridge; |
300 ## - PHYSICAL DESCRIPTION | |
Extent | xix, 395 p. : ill. ; |
Other physical details | pb, |
Dimensions | 26 cm. |
365 ## - TRADE PRICE | |
Price type code | GBP |
Price amount | 38.00 |
504 ## - BIBLIOGRAPHY, ETC. NOTE | |
Bibliography, etc | Includes bibliographical references and index. |
520 ## - SUMMARY, ETC. | |
Summary, etc | 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. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Klein Felix 1849-1925 |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Symmetry |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Geometry |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Indra (Hindu deity) |
700 ## - ADDED ENTRY--PERSONAL NAME | |
Personal name | Series, Caroline |
700 ## - ADDED ENTRY--PERSONAL NAME | |
Personal name | Wright, David James |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Source of classification or shelving scheme | Dewey Decimal Classification |
Item type | Books |
Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Total Renewals | Full call number | Barcode | Date last seen | Date last borrowed | Copy number | Cost, replacement price | Koha item type |
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Dewey Decimal Classification | General | IIT Gandhinagar | IIT Gandhinagar | General Stacks | 19/03/2021 | Books India | 0.00 | 5 | 2 | 514.742 MUM | 030042 | 21/02/2023 | 16/02/2023 | 1 | 0.00 | Books |