Asakura Dictionary of Mathematics

This dictionary is a study aid for the non-specialist student hoping to gain a broad knowledge of mathematics, offering easy-to-understand explanations of key mathematical concepts, from high school to university and graduate level.

The style we have adopted is the “middle entry type ,” where entries are grouped together according to their degree of semantic overlap. For example, rather than individually explaining terms such as “multiple,” “divisor,” and “prime factorization,” each of these is explained in connection to one another under the “prime numbers” entry, leading to an organic understanding. Reading on, this entry should lead naturally on to more advanced content, such as “Euclidean algorithm,” “prime number theorem,” “twin prime,” and so on. A total 327 entries provide broad coverage of each mathematical field. Entries are explained as simply as possible, and organized for readability—ideal for day-to-day learning.

The JapanKnowledge edition employs TeX for numerical formulae in the text, making it convenient for learning and for writing papers and reports. Further, the main text screen includes an appendix column which lists, at a glance, “entries in order of publication,” and “entries by field,” enabling quick access to desired entries and fields without need for a new search. It is warmly recommended for a variety of study uses, including preparation and review, and inquiry-based learning.

Editors: Kawamata Yujiro, Tsuboi Takashi, Kusuoka Shigeo, Arai Hitoshi