In Our Time
Renaissance Maths
Jun 2, 2005
The podcast delves into the evolution of mathematics during the Renaissance, from Greek geometry's dominance to the incorporation of algebraic influences from India and Arabia. It explores the practical applications of mathematics in warfare, architecture, and navigation. The impact of Fibonacci's numerical system and the transition to symbolic algebraic notation are highlighted. The emergence of calculus and the contrasting views of Leibniz and Newton shape the development of modern mathematics.
42:22
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Quick takeaways
- Renaissance mathematics evolved from Greek geometry to practical calculus for real-world applications.
- Integration of algebra with geometry revolutionized problem-solving and laid the foundation for modern mathematics.
Deep dives
The Evolution of Mathematics in the Renaissance
Mathematics in the Renaissance transitioned from a focus on Greek geometry, including Euclid's principles, towards a more practical and diverse approach. The assimilation of Indian and Arabic algebra led to the development of calculus by Newton and Leibniz, enabling the understanding and prediction of real-world movements and changes. Geometry in the Renaissance was practical, influencing fields like architecture, navigation, and cartography, with advancements in instruments aiding in precise calculations.
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