The Geometrical Beauty of Plants | Buch

Cover: 9789462391505 | The Geometrical Beauty of Plants | Johan Gielis | Buch | xxv | 2017

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

Step-by-step explanation of Gielis curves, surfaces and transformations and their properties

The book provides new insights in the relationship between botany and mathematics

The book illustrates the emergence of beauty and harmony from mathematics

The book bridges the gap between (differential) geometry and algebra

Includes supplementary material: [...]

Inhaltsverzeichnis

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

Details

Erscheinungsjahr:	2017
Fachbereich:	Botanik
Genre:	Biologie , Importe
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xxv 229 S. 16 s/w Illustr. 98 farbige Illustr. 229 p. 114 illus. 98 illus. in color.
ISBN-13:	9789462391505
ISBN-10:	9462391505
Sprache:	Englisch
Herstellernummer:	978-94-6239-150-5
Einband:	Gebunden
Autor:	Gielis, Johan
Hersteller:	Atlantis Press
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 19 mm
Von/Mit:	Johan Gielis
Erscheinungsdatum:	15.06.2017
Gewicht:	0,599 kg