The lure of modern science : fractal thinking

Bruce J. West & Bill Deering

The authors describe mostly in non-technical language the development of a new scientific paradigm based on nonlinear deterministic dynamics and fractal geometry. The concepts from these two mathematical disciplines are interwoven with data from the physical, social and life sciences. In this way rather sophisticated mathematical concepts are made accessible through experimental data from various disciplines, and the formalism is relegated to appendices. It is shown that the complexity of natural and social phenomena invariably lead to inverse power law distributions, both in terms of probabilities and spectra. This book tries to show how to think differently about familiar phenomena, such as why the bell-shape curve ought not to be used in teaching.

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[目次]

  • Lure of modern science
  • linear spaces and geometry in natural philosophy
  • noise in natural philosophy
  • self-similarity, fractals and measurements
  • maps and dynamics
  • dynamics in fractal dimensions.

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この本の情報

書名 The lure of modern science : fractal thinking
著作者等 West, Bruce J.
Deering W. (University of North Texas USA)
Peering W.
West B. J.
Deering Bill
シリーズ名 Studies of nonlinear phenomena in life science
出版元 World Scientific
刊行年月 1995
ページ数 viii, 421 p.
大きさ 23 cm
ISBN 9810221975
NCID BA25921184
※クリックでCiNii Booksを表示
言語 英語
出版国 シンガポール
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