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- catalog abstract "The authors present an unusual attempt to publicize the field of Complex Dynamics, an exciting mathematical discipline of respectable tradition that recently sprang into new life under the impact of modern computer graphics. Where previous generations of scientists had to develop their own inner eye to perceive the abstract aesthetics of their work, the astounding pictures assembled here invite the reader to share in a new mathematical experience, to revel in the charm of fractal frontiers.".
- catalog contributor b521745.
- catalog contributor b521746.
- catalog created "c1986.".
- catalog date "1986".
- catalog date "c1986.".
- catalog dateCopyrighted "c1986.".
- catalog description "Bibliography: p. 147-149.".
- catalog description "Frontiers of chaos. Special sections: 1. Verhulst dynamics -- 2. Julia sets and their computergraphical generation -- 3. Sullivan's classification of critical points -- 4. The Mandelbrot set -- 5. External angles and Hubbard trees -- 6. Newton's method for complex polynomials: Cayley's problem -- 7. Newton's method for real equations -- 8. A discrete Volterra-Lotka system -- Magnetism and complex boundaries -- Special sections: 9. Yang-Lee zeros -- 10. Renormalization -- Invited contributions -- Fractals and the rebirth of iteration theory / B.B. Mandelbrot -- Julia sets and the Mandelbrot set / A. Douady -- Freedom, science, and aesthetics / G. Eilenberger -- Refractions of science into art / H.W. Franke -- Do it yourself -- Documentation.".
- catalog description "The authors present an unusual attempt to publicize the field of Complex Dynamics, an exciting mathematical discipline of respectable tradition that recently sprang into new life under the impact of modern computer graphics. Where previous generations of scientists had to develop their own inner eye to perceive the abstract aesthetics of their work, the astounding pictures assembled here invite the reader to share in a new mathematical experience, to revel in the charm of fractal frontiers.".
- catalog extent "xii, 199 p. :".
- catalog identifier "0387158510 (U.S.)".
- catalog issued "1986".
- catalog issued "c1986.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog subject "516 19".
- catalog subject "Fractals.".
- catalog subject "Mathematics.".
- catalog subject "QA 447 P379b 1986".
- catalog subject "QA447 .P45 1986".
- catalog tableOfContents "Frontiers of chaos. Special sections: 1. Verhulst dynamics -- 2. Julia sets and their computergraphical generation -- 3. Sullivan's classification of critical points -- 4. The Mandelbrot set -- 5. External angles and Hubbard trees -- 6. Newton's method for complex polynomials: Cayley's problem -- 7. Newton's method for real equations -- 8. A discrete Volterra-Lotka system -- Magnetism and complex boundaries -- Special sections: 9. Yang-Lee zeros -- 10. Renormalization -- Invited contributions -- Fractals and the rebirth of iteration theory / B.B. Mandelbrot -- Julia sets and the Mandelbrot set / A. Douady -- Freedom, science, and aesthetics / G. Eilenberger -- Refractions of science into art / H.W. Franke -- Do it yourself -- Documentation.".
- catalog title "The beauty of fractals : images of complex dynamical systems / H.-O. Peitgen, P.H. Richter.".
- catalog type "text".