Chapter
Insights from Modern Geometry
22:17 - 25:47 (03:30)
The study of modern geometry includes insights on studying complex problems like the three body problem and the importance of being methodical, like the Germans.
Clips
The use of morphing helps individuals identify the exact point of transition between numbers, as opposed to using static images alone.
22:17 - 23:24 (01:07)
Summary
The use of morphing helps individuals identify the exact point of transition between numbers, as opposed to using static images alone. However, there is more to identifying these transitions than just the image itself.
ChapterInsights from Modern Geometry
Episode#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries
PodcastLex Fridman Podcast
The insight in modern geometry that it is possible to study complex problems by simplifying them into smaller ones is discussed.
23:24 - 24:52 (01:28)
Summary
The insight in modern geometry that it is possible to study complex problems by simplifying them into smaller ones is discussed. The significance of this insight is illustrated using Poincare's solution to the three body problem.
ChapterInsights from Modern Geometry
Episode#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries
PodcastLex Fridman Podcast
The history of mathematics is interconnected with human history.
24:52 - 25:47 (00:54)
Summary
The history of mathematics is interconnected with human history. From France's attempt to become more like Germany after the Franco-Prussian War to the Soviet Union's emphasis on science and math after World War II, significant events in history have shaped the way humans view mathematics.