The Geometrical Beauty of Plants - Johan Gielis

The Geometrical Beauty of Plants

(Autor)

Buch | Hardcover
229 Seiten
2017 | 1st ed. 2017
Atlantis Press (Zeger Karssen) (Verlag)
978-94-6239-150-5 (ISBN)
60,98 inkl. MwSt
This book focuses on the origin of the Gielis curves, surfaces and transformations in the plant sciences. New insights show how plants can be understood as developing mathematical equations, which opens the possibility of directly solving analytically any boundary value problems (stress, diffusion, vibration...) .
This book focuses on the origin of the Gielis curves, surfaces and transformations in the plant sciences. It is shown how these transformations, as a generalization of the Pythagorean Theorem, play an essential role in plant morphology and development. New insights show how plants can be understood as developing mathematical equations, which opens the possibility of directly solving analytically any boundary value problems (stress, diffusion, vibration...) . The book illustrates how form, development and evolution of plants unveil as a musical symphony. The reader will gain insight in how the methods are applicable in many divers scientific and technological fields.

1.Universal Natural Shapes.- 2.Towards a geometrical theory of morphogenesis.- 3.-1,-2,-3......,Understand The Legacy.- 4.Lamé curves and surfaces.- 5.Gieliscurves, surfaces and transformations.- 6.Pythagorean-compact. - 7.Generalized intrinsic and extrinsic lengths in submanifolds.

“The book is a monograph describing his research into the mathematical principles underlying plant morphology originally prompted by his study of the cross-sectional shapes of bamboo stems. … This book should be of interest to anyone who works in biological morphology because it describes a quantitative way of describing biological shapes.” (Computing Reviews, March, 2018)

Zusatzinfo 98 Illustrations, color; 16 Illustrations, black and white; XXV, 229 p. 114 illus., 98 illus. in color.
Verlagsort Paris
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Informatik Software Entwicklung
Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Geometrie / Topologie
Naturwissenschaften Biologie Botanik
Naturwissenschaften Physik / Astronomie
Schlagworte Fractals • Gielis Transformations • Knots and Links • Phyllotaxy • plant development
ISBN-10 94-6239-150-5 / 9462391505
ISBN-13 978-94-6239-150-5 / 9789462391505
Zustand Neuware
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