000 | 02091cam a2200265 a 4500 | ||
---|---|---|---|
001 | vtls002774960 | ||
003 | MY-SjTCS | ||
005 | 20200226103851.0 | ||
008 | 110218s1992 nyuabf b 001 0 eng | ||
020 | _a0387979034 (hbk.) | ||
039 | 9 |
_a201404241756 _bshuhada _c201102181333 _dVLOAD _y200407271954 _zVLOAD |
|
082 | 0 | 4 |
_a514.74 _bPEI |
100 | 1 |
_aPeitgen, Heinz-Otto, _d1945- _916480 |
|
245 | 1 | 0 |
_aChaos and fractals : _bnew frontiers of science / _cHeinz-Otto Peitgen, Hartmut Jurgens, Dietmar Saupe. |
260 |
_aNew York : _bSpringer-Verlag, _cc1992. |
||
300 |
_axvi, 984 p., [24] p. of plates : _bill. (some col.), maps ; _c24 cm. |
||
504 | _aIncludes bibliographical references and index. | ||
505 | 0 | _aPreface. - Authors. - Foreword / Mitchell J. Feigenbaum. - Introduction : Causality Principle, Deterministic Laws and Chaos. - 1. The Backbone of Fractals : Feedback and the Iterator. - 2. Classical Fractals and Self-Similarity. - 3. Limits and Self-Similarity. - 4. Length, Area and Dimension : Measuring Complexity and Scaling Properties. - 5. Encoding Images by Simple Transformations. - 6. The Chaos Game : How Randomness Creates Deterministic Shapes. - 7. Recursive Structures : Growing of Fractals and Plants. - 8. Pascal's Triangle : Cellular Automata and Attractors. - 9. Irregular Shapes : Randomness in Fractal Constructions. - 10. Deterministic Chaos: Sensitivity, Mixing, and Periodic Points. - 11. Order and Chaos : Period-Doubling and its Chaotic Mirror. - 12. Strange Attractors : The Locus of Chaos. - 13. Julia Sets : Fractal Basin Boundaries. - 14. The Mandelbrot Set: Ordering the Julia Sets. - Appendix A. Discussion of Fractal Image Compression / Yuval Fisher. - Appendix B. Multifractal Measures / Carl J. G. Evertsz, Benoit B. Mandelbrot. - Bibliography. - Index. | |
590 | _aSpecialist Mathematics : 2MSC20 | ||
650 | 0 |
_aChaotic behavior in systems _920524 |
|
650 | 0 |
_aFractals. _96938 |
|
700 | 1 |
_aJürgens, H. _q(Hartmut) _916481 |
|
700 | 1 |
_aSaupe, Dietmar, _d1954- _916482 |
|
920 | _aSAM : 74460, 74461 | ||
999 |
_c29032 _d29032 |