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Overview
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Embark on a captivating journey through the evolution of Non-Euclidean Geometry in this five-part video series. Explore the concept of sacred geometry, follow the great quest of mathematicians throughout history, delve into the challenge of squaring the circle, confront the emergence of a most terrible possibility in mathematical thinking, and discover how Non-Euclidean Geometry shapes our understanding of the world we know today. Each episode builds upon the last, providing a comprehensive overview of this fascinating mathematical field and its profound impact on our perception of space and reality.
Syllabus
The History of Non-Euclidean Geometry - Sacred Geometry - Extra History - #1.
The History of Non-Euclidean Geometry - The Great Quest - Extra History - #2.
The History of Non-Euclidean Geometry - Squaring the Circle - Extra History - #3.
The History of Non-Euclidean Geometry - A Most Terrible Possibility - Extra History - #4.
The History of Non-Euclidean Geometry - The World We Know - Extra History - #5.
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Reviews
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In my opinion, the history of non-Euclidean geometry is very fascinating. For a long time, mathematicians followed the ideas of Euclid described in his famous book Elements. However, many scientists tried to understand the parallel postulate in different ways. I think it was very brave of mathematicians like Nikolai Lobachevsky and János Bolyai to create new types of geometry. Later, Bernhard Riemann also developed ideas about curved space. In my view, these discoveries were very important because they helped science grow. For example, Albert Einstein used these ideas in General Relativity to explain how the universe works.