La Serie​ di Taylor

La serie di Taylor è un utilissimo strumento matematico. In questo blog, ne darò una breve descrizione dando qualche esempio di applicazione.

Chi è il signor Taylor?

Brook Taylor (1685 – 1731) era un matematico britannico del XVII secolo che ha dimostrato la formula che porta il suo nome, e l’argomento di questo blog, nel volume Methodus Incrementorum Directa et Inversa (1715). Maggiori informazioni si possono trovare nella corrispondente pagina della wikipedia.

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The Taylor Series

The Taylor series is a mathematical tool that, sometimes, it is not easy to immediately grasp by freshman students. In this blog, I will give a short review of it giving some examples of applications.

Who is Mr. Taylor?

Brook Taylor (1685 – 1731) was a 17th-century British mathematician. He demonstrated the celebrated Taylor formula, the topics of this blog, in his masterwork Methodus Incrementorum Directa et Inversa (1715). For more information, just give a read to the following wiki page.

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Modeling Natural Shapes: Sunflowers Florets and the Golden Ratio

Il girasole piega a occidente
e già precipita il giorno nel suo
occhio in rovina … 
from the poem  “Quasi un madrigale” by Salvatore Quasimodo.

 

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Modeling Natural Shapes: Seashells

O conchiglia marina, figlia
della pietra e del mare biancheggiante,
tu meravigli la mente dei fanciulli.

La conchiglia di Alceo. (Traduzione di Salvatore Quasimodo, da Lirici greci, 1940) 

 

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Physical Chemistry: The Simple Hückel Method

The Hückel molecular orbital method is a quantum mechanics approach for calculating the energies of molecular orbitals of π electrons in conjugated hydrocarbon systems, such as ethylene, benzene, and butadiene. Continue reading

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Retro Programming II: the Amiga and the computational beauty of the leaf

In my archeological exploration of old computer files, I came across to another simple but interesting Amiga Basic program that I programmed in 1989. It is named “Foglie”, the Italian name for leaves. Continue reading

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Awk Programming III: the One-Dimensional Cellular Automaton

Cellular automata (CA) is a vast and interesting topic of computer science and mathematics with important applications in many areas of science. Continue reading

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