Chaos and Fractals: New Frontiers of Science

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Springer Science & Business Media, Feb 3, 2004 - Mathematics - 864 pages
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Almost 12 years have passed by since we wrote Chaos and Fractals. At the time we were hoping that our approach of writing a book which would be both accessible without mathematical sophistication and portray these exiting new fields in an authentic manner would find an audience. Now we know it did. We know from many reviews and personal letters that the book is used in a wide range of ways: researchers use it to acquaint themselves, teachers use it in college and university courses, students use it for background reading, and there is also a substantial audience of lay people who just want to know what chaos and fractals are about. Every book that is somewhat technical in nature is likely to have a number of misprints and errors in its first edition. Some of these were caught and brought to our attention by our readers. One of them, Hermann Flaschka, deserves to be thanked in particular for his suggestions and improvements. This second edition has several changes. We have taken out the two appendices from the firstedition. At the time of the first edition Yuval Fishers contribution, which we published as an appendix was probably the first complete expository account on fractal image compression. Meanwhile, Yuvals book Fractal Image Compression: Theory and Application appeared and is now the publication to refer to.
 

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Contents

III
15
IV
17
V
23
VI
27
VII
37
VIII
49
IX
61
X
65
LV
393
LVI
404
LVII
412
LVIII
420
LIX
423
LX
425
LXI
429
LXII
440

XI
76
XII
80
XIII
87
XIV
92
XV
104
XVI
110
XVII
120
XVIII
124
XIX
129
XX
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XXI
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XXII
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XXIII
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XXIV
173
XXV
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182
XXVII
192
XXVIII
202
XXIX
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XXX
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XXXI
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XXXII
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XXXIII
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XXXIV
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XXXV
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XXXVI
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XXXVII
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XXXVIII
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XXXIX
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XL
277
XLI
280
XLII
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XLIII
300
XLIV
311
XLV
319
XLVI
328
XLVII
333
XLVIII
340
XLIX
351
L
355
LI
367
LII
372
LIII
377
LIV
382
LXIII
446
LXIV
456
LXV
462
LXVI
467
LXVII
469
LXVIII
480
LXIX
485
LXX
496
LXXI
509
LXXII
520
LXXIII
529
LXXIV
535
LXXV
541
LXXVI
548
LXXVII
559
LXXVIII
575
LXXIX
583
LXXX
595
LXXXI
605
LXXXII
609
LXXXIII
628
LXXXIV
636
LXXXV
647
LXXXVI
659
LXXXVIII
671
LXXXIX
694
XC
706
XCI
715
XCII
717
XCIII
722
XCIV
729
XCV
733
XCVI
744
XCVII
756
XCVIII
764
XCIX
769
C
780
CI
783
CII
785
CIII
797
CIV
820
CV
839
CVI
853
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