Getting acquainted with fractals:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
de Gruyter
2007
|
| Edition: | 1. Aufl. |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 165 - 167 |
| Physical Description: | V, 177 S. Ill., graph. Darst. 25 cm |
| ISBN: | 9783110190922 3110190923 |
Staff View
MARC
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| 245 | 1 | 0 | |a Getting acquainted with fractals |c Gilbert Helmberg |
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Record in the Search Index
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| adam_text |
Contents
Preface v
1 Fractals and dimension 1
1.1 The game of deleting and replacing 1
1.2 The box-counting dimension 50
1.3 The Hausdorff dimension 55
2 Iterative function Systems 63
2.1 The space of compact subsets of a complete metric space 63
2.2 Contractions in a complete metric space 70
2.3 Affine iterative function Systems in R2 74
3 Iteration of complex polynomials 109
3.1 General theory of Julia sets 111
3.2 Julia sets for quadratic polynomials 121
3.3 The Mandelbrot set 124
3.4 Generation of Julia sets 150
Bibliography 165
List of symbols 169
Index 171
Contents (detailed) 175 |
| adam_txt |
Contents
Preface v
1 Fractals and dimension 1
1.1 The game of deleting and replacing 1
1.2 The box-counting dimension 50
1.3 The Hausdorff dimension 55
2 Iterative function Systems 63
2.1 The space of compact subsets of a complete metric space 63
2.2 Contractions in a complete metric space 70
2.3 Affine iterative function Systems in R2 74
3 Iteration of complex polynomials 109
3.1 General theory of Julia sets 111
3.2 Julia sets for quadratic polynomials 121
3.3 The Mandelbrot set 124
3.4 Generation of Julia sets 150
Bibliography 165
List of symbols 169
Index 171
Contents (detailed) 175 |
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| ctrlnum | (OCoLC)77485980 (DE-599)DNB981631746 |
| dewey-full | 514/.742 514.742 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 1. Aufl. |
| format | Book |
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| institution | BVB |
| isbn | 9783110190922 3110190923 |
| language | English |
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| spelling | Helmberg, Gilbert 1928- Verfasser (DE-588)1101619368 aut Getting acquainted with fractals Gilbert Helmberg 1. Aufl. Berlin [u.a.] de Gruyter 2007 V, 177 S. Ill., graph. Darst. 25 cm txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 165 - 167 Fractals Fraktal (DE-588)4123220-3 gnd rswk-swf Fraktal (DE-588)4123220-3 s DE-604 Erscheint auch als Online-Ausgabe 978-3-11-020661-6 (DE-604)BV042347017 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=2866230&prov=M&dok_var=1&dok_ext=htm Inhaltstext HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015737735&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
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| subject_GND | (DE-588)4123220-3 |
| title | Getting acquainted with fractals |
| title_auth | Getting acquainted with fractals |
| title_exact_search | Getting acquainted with fractals |
| title_exact_search_txtP | Getting acquainted with fractals |
| title_full | Getting acquainted with fractals Gilbert Helmberg |
| title_fullStr | Getting acquainted with fractals Gilbert Helmberg |
| title_full_unstemmed | Getting acquainted with fractals Gilbert Helmberg |
| title_short | Getting acquainted with fractals |
| title_sort | getting acquainted with fractals |
| topic | Fractals Fraktal (DE-588)4123220-3 gnd |
| topic_facet | Fractals Fraktal |
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