In this book we generate graphic images using the software Mathematica thus providing a gentle and enjoyable introduction to this rather technical software and its graphic capabilities.
The programs we use for generating these graphics are easily adaptable to many variations.
These graphic images are enhanced by introducing a variety of different coloring techniques.
Detailed instructions are given for the construction of some interesting 2D and 3D fractals using iterated functions systems as well as the construction of many different types of Julia sets and parameter sets such as the Mandelbrot set.
The mathematics underlying the theory of Iterated function systems and Julia sets is given an intuitive explanation, and references are provided for more detailed study.
Rezensionen / Stimmen
(...) Getz and Helmstedt have delivered not merely a phrase book for the passing tourist but an exhortation to bold imagination for the fledgling poet. (...) the authors strike a good balance between computer platform particular, elementary mathematics, and principles of design aesthetics. Summing Up: Recommended. All levels. -- Reviewed CHOICE, June 2005 by D. V. Feldman, University of New Hampshire.
Sprache
Verlagsort
Verlagsgruppe
Elsevier Science & Technology
Zielgruppe
Für Beruf und Forschung
Computer Science, Mathematics, Applied Mathematics, Departments of Universities, Colleges, Technikons, Teacher Training Colleges, Mathematica Users.
Maße
Höhe: 262 mm
Breite: 192 mm
Gewicht
ISBN-13
978-0-444-51760-9 (9780444517609)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Autor*in
Johannesburg, South Africa
Johannesburg, South Africa
Chapter 1: BasicsChapter 2: Using Color in Graphics Chapter 3: Patterns Constructed from Straight Lines Chapter 4: Orbits of Points Under a C->C Mapping Chapter 5: Using Roman Maeder's Packages Affine Maps, Iterated Function Systems and Chaos Game to Construct Affine Fractals Chapter 6: Constructing Non-affine and 3D Fractals Using the Deterministic and Random Algorithms Chapter 7: Julia and Mandelbrot Sets Constructed Using the Escape - Time Algorithm and Boundary Scanning MethodChapter 8: Miscellaneous Design Ideas Appendices Bibliography
