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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.
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 |
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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 |