Getting Acquainted with Fractals (eBook)

Gilbert Helmberg (Autor)

eBook Download: PDF

2007
177 Seiten
De Gruyter (Verlag)
978-3-11-020661-6 (ISBN)

Infos

This well-written book provides a mathematically oriented introduction to fractals, with a focus upon three types of fractals: fractals of curves, attractors for iterative function systems in the plane, and Julia sets. The presentation is on an undergraduate level, with an ample presentation of the corresponding mathematical background, e.g., linear algebra, calculus, algebra, geometry, topology, measure theory and complex analysis. The book contains over 100 colour illustrations.

• A mathematically oriented introduction to fractals.
• Focus upon three types of fractals: Fractals of curves, attractors for iterative function systems in the plane, and Julia sets.
• The presentation is on an undergraduate level, with an ample presentation of the corresponding mathematical background.
• Contains over 100 coloured illustrations.

Gilbert Helmberg, University Innsbruck, Austria.

Autor

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Gilbert Helmberg, University Innsbruck, Austria.

Inhalt

Frontmatter 1
1 Fractals and dimension 9
2 Iterative function systems 71
3 Iteration of complex polynomials 117
Backmatter 173

Rezensionen

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"This book has its own place in the literature on fractal geometry."
Ilya S. Molchanov in: Zentralblatt für Mathematik 1/2008

Produkt-Details

• Erscheint lt. Verlag: 14.7.2008
• Zusatzinfo: 100 col. ill.
• Verlagsort: Berlin/Boston
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Technik
• Schlagworte: Fractals • Fractals; measure theory • Fraktal • Maßtheorie • measure theory
• ISBN-10: 3-11-020661-7 / 3110206617
• ISBN-13: 978-3-11-020661-6 / 9783110206616