Zakkuri Wakaru Topology Uchigawa Mo Sotogawa Mo Nai "Kura in No Tsubo" Tte Donna Tsubo? "Uchu No Katachi" Ha 1 Hon No "Himo" Wo Tsukaeba Wakaru? (Science Eye Shinsho)

[Machine Translation] Topology, also known as "soft geometry" or "rubber geometry," is a branch of mathematics that emphasizes continuity. It is characterized by the fact that it considers a sphere, a tetrahedron, and a cube to be the same thing, and tries to determine the essence of an object without being limited by its shape. On the other hand, they are strictly concerned with the "presence or absence of holes" and the "number of holes," and consider a sphere and a doughnut to be different things. This is because a sphere has no holes and a doughnut has holes. In this book, we will illustrate this kind of "topology" from scratch.

「トポロジー」は「柔らかい幾何学」「ゴムの幾何学」とも言われ、「連続性」が重要視される数学の一分野です。「球」「正四面体」「立方体」などを同じ物とみなし、「形」にとらわれず物体がもっている本質を見きわめようとするのが特徴です。逆に「穴の有無」「穴の数」などには厳密にこだわり、球とドーナツは違う物とみなします。なぜなら、球は穴がなく、ドーナツは穴があるからです。本書ではこのような「トポロジー」をゼロから図解していきます。