Tecnología actual y trigonometría andalusí | Al-Ándalus, el legado | Canal HISTORIA

The Influence of Mathematics from Muslims in Al-Ándalus

Introduction to Mathematical Concepts

• The arrival of Muslims introduced various branches of mathematics, including algebra and algorithms, previously unknown in the Iberian Peninsula.

• Trigonometry emerged as a tool for astronomy, facilitating calculations related to celestial bodies.

Development and Applications of Trigonometry

• Trigonometry, as we know it today, originated in India and was transmitted to Europe through Arabic translations; it involves solving triangles with six elements: three sides and three angles.

• Modern applications of trigonometry include video game design, where it helps calculate trajectories and complex functions for realistic simulations.

Advanced Uses in Technology

• In robotics, such as the Canadarm2 on the International Space Station, trigonometry is essential for calculating positions based on degrees of freedom (e.g., shoulder, elbow).

Navigation Techniques

• Historical navigation methods like dead reckoning rely heavily on trigonometric principles to estimate a vessel's course based on known points.

Contemporary Relevance

• Trigonometry plays a crucial role in modern technologies like 3D printers and autonomous vacuum cleaners that use sensors to navigate obstacles effectively.

• Without trigonometric calculations, many contemporary devices would be unable to function properly or efficiently.

Legacy of Al-Ándalus in Mathematics

• The mathematical legacy from Al-Ándalus is significant not only for introducing Arabic science but also for preserving lost Greek scientific knowledge.