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.
Prior to the modern age laughter raised passions and activated the body to sweat and shake. Derision was not distinguished from joy. Deceiving the senses by tricks or funny stories made all people laugh loudly, regardless of class. Johan Verberckmoes describes, in this innovating book, the hotchpotch of comic images and stories in 'Flandes' during the rule of the Spanish Habsburgs, from 1500 to 1700. It challenges the Bakhtinian idea of a caesura in the history of laughter around 1600.
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