- Taschenbuch: 429 Seiten
- Verlag: Palgrave Macmillan; Auflage: Reprint (September 1992)
- Sprache: Englisch
- ISBN-10: 0716723573
- ISBN-13: 978-0716723578
- Größe und/oder Gewicht: 22,9 x 15,2 x 2,8 cm
- Durchschnittliche Kundenbewertung: 4.8 von 5 Sternen Alle Rezensionen anzeigen (5 Kundenrezensionen)
- Amazon Bestseller-Rang: Nr. 1.006.948 in Englische Bücher (Siehe Top 100 in Englische Bücher)
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Produktbeschreibungen
Kurzbeschreibung
Self-similarity is a profound concept that shapes many of the laws governing nature and underlying human thought. It is a property of widespread scientific importance and is at the centre of much of the recent work in chao fractals, and other areas of current research and popular interest. Self-similarity is related to symmetry analysis is an attribute of many physical laws: particle physics and those governing Newton's laws of gravitation. Symmetry, found throughout the biological universe, is also a basic property of the mathematical universe. In this book the author explores the idea's of scaling, self-similarity, chaos. and fractals as they appear throughout the universe of pure and applied mathematics. Because of his formidable research experience, stretching from the acoustical modelling of concert halls to pure number theory, Schroeder is able to take the reader on an intellectual excursion through this vast forest of topics. Requires a basic familiarity with undergraduate mathematics and elementary physics.
Synopsis
Self-similarity is a profound concept that shapes many of the laws governing nature and underlying human thought. It is a property of widespread scientific importance and is at the centre of much of the recent work in chao fractals, and other areas of current research and popular interest. Self-similarity is related to symmetry analysis is an attribute of many physical laws: particle physics and those governing Newton's laws of gravitation. Symmetry, found throughout the biological universe, is also a basic property of the mathematical universe. In this book the author explores the idea's of scaling, self-similarity, chaos. and fractals as they appear throughout the universe of pure and applied mathematics. Because of his formidable research experience, stretching from the acoustical modelling of concert halls to pure number theory, Schroeder is able to take the reader on an intellectual excursion through this vast forest of topics. Requires a basic familiarity with undergraduate mathematics and elementary physics.
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Buchdeckel | Copyright | Inhaltsverzeichnis | Auszug | Stichwortverzeichnis | Rückseite
Buchdeckel | Copyright | Inhaltsverzeichnis | Auszug | Stichwortverzeichnis | Rückseite
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Format:Taschenbuch
For the uninitiated! --The author combines insight with story telling. He has a story to tell, and does it well! Not only does he know the theory inside out, he has the ability to get accross the central points so it (almost) seems easy, in any case entertaining, using pictures (including cartoons), humor, and equations when they are needed. He further make clear the many fascinating links between chaos theory, algorithms, technology, and areas of pure math, such as number theory. Highly recommended!
Reviewed by Palle Jorgensen, August, 2003.
Reviewed by Palle Jorgensen, August, 2003.
Format:Taschenbuch
One of the best introductory books I've ever read about the subject. A good example of multidisciplinarity and a bridge between theoretical and practical studies. The author does not avoid mathematics, allowing accuracy and complete explanations, and does not exceed, making the book readable to beginners.
Format:Taschenbuch
What an excellent find! I'd been reading Per Bok's "How Nature Works" and realized I need a better grounding in the basics of fractal mathematics; this book turned out to be just the ticket.
Schroeder starst out with some simple, intuitive examples of curves and regions that do not scale to integral proportions, and from thse he develops and introduces the notion of the Hausdorf dimension of a curve. From there he introduces new concepts graphically- like Koch snowflakes and the Serpienski gasket- by first constructing them and then doing the analysis, introducing new concepts as needed to advance the illustration.
Often Schroeder starts with very non-geometric illustrations; his section on power laws begins with a discussion of language and word frequency, and from there he introduces Zipf's law, and then generalizes to characteristics of power law distributions in general- but not before treating the reading to a fascinating discourse on cognates and false cognates between languages- which he manages to weave into a discussion of self-similarity. Brilliant!
"Fractals, Chaos, Power Laws" could easily be used for a University-level introduction to fractal math, for graduate students or advanced undergrads- yet it's still readable enough to be a find introduction and entertainment to the reader with only a basic background in algebra and perhaps some calculus. The casual reader might not follow all the mathmatical arguments, but he or she could still glean much from this book. Highly recommended for the mathematically inclined looking for education or entertainment.
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excellent! probably the best book on fractals
The best introductory book on fractals and chaos. It has a breath-taking wealth of topics, complete with the intuition behind them, the formulas, the drawings and pictures. Lesen Sie weiter...
Veröffentlicht am 22. Juli 1999 von Christos Faloutsos (christos@cs.cmu.edu)
A Mathematical wonder: not for the faint of heart!
The book opens up ideas of wonderful depth, but isn't easy reading for those who hate equations. I would put this book in the top ten must read area for fractal people! Lesen Sie weiter...
Am 19. März 1998 veröffentlicht
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