Mathematics Modern Mathematics : FIGHTING SPIRIT Sets and Topology How "Infinity" Can Be Counted / Shiro Seyama

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Mathematics
Bluebucks / What is "infinite"? This book explains the world of mathematics that counts infinity, using the idea of a mathematician named Cantor as a clue, as well as the "basic theory of mathematics" that occurred in the latter half of the 19th century. It explains the world of mathematics that counts infinity. It includes "set," which is the entrance to modern mathematics, "radix," "transcendental number," "infinite hierarchical structure," and infinite operation. It also introduces "phase," which examines the "closeness of origin" in a set, and introduces the deep world of "mathematics that handles infinity" based on keywords such as "Euclidean space," "continuity," and "compactness."