Mathematics Mathematical Knots and Higher Dimensions : An Introduction to Topology / Eiji Ogasa

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Mathematics
Bluebacks / What is the shape of the universe? What is the end of the universe? Based on the mathematics "topology topology," which deals with the "knot theory" and "high-dimensional geometry," which are currently attracting attention, we will look at how the universe was conceived, and what the ultimate form of matter is. We will look at the cutting edge of modern physics. Where do you get when you go straight through the universe? The end of the universe? Or the place where you were? In mathematics, topologies that discuss the "form" of figures. Among them, "knot theory" and "high-dimensional geometry" are considered important for understanding the theory of relativity and the superstring theory. While following the trajectory of this thought, we will give an easy-to-understand and detailed explanation along with various illustrations. In the second half, we will also give a detailed explanation of the shape of the universe and the "Poincare conjecture." If you read this book, you will be able to see not only the four dimensional world but also the five dimensional world and the universe!