Mathematical subjects in Japanese


I have troubles finding the following expressions or the like in Japanese. It
is in mathematical contexts:

  1. Differential geometry
  2. (Point-set) Topology
  3. Submanifolds
  4. Smooth functions

Are there places where I can find similar terms more directly? I know that
jisho.org does cover some basic terms (yes, you can find stuff like Riemann
curvature tensor) but sometimes I cannot find basic ones (like I can find
geometry and manifold but not differential geometry).




Don Zagier has a [4-page scan](https://people.mpim-
bonn.mpg.de/zagier/files/scanned/EnglishJapaneseDictMathTerm/fulltext.pdf) of
an _English–Japanese Dictionary for Mathematical Terminology_. Being only 4
pages short, it is only a "cheat sheet" and maybe serves less as a dictionary
and more as a first vocabulary list of expressions to learn. (Japanese
mathematics libraries will have dictionaries with hundreds of pages for this
purpose.)

ALC's 英辞郎 which @Eiríkr Útlendi suggested in the comments seems to be quite
complete as it contains even more technical terminology (such as _derived
functor_ , _plurisubharmonic function_ , _properly discontinuous action_ ,
etc.). Else, @Ringil's strategy of finding the term on Wikipedia and looking
on the linked Japanese site is also a good strategy.

The terms you're asking about would be

  1. 微分幾何学【びぶんきかがく】 differential geometry
  2. 位相幾何学【いそうきかがく】 topology (the subject area)
  3. 部分多様体【ぶぶんたようたい】 submanifold/subvariety
  4. 滑らか【なめらか】な関数【かんすう】 smooth function




Don Zagier has a [4-page scan](https://people.mpim-
bonn.mpg.de/zagier/files/scanned/EnglishJapaneseDictMathTerm/fulltext.pdf) of
an _English–Japanese Dictionary for Mathematical Terminology_. Being only 4
pages short, it is only a "cheat sheet" and maybe serves less as a dictionary
and more as a first vocabulary list of expressions to learn. (Japanese
mathematics libraries will have dictionaries with hundreds of pages for this
purpose.)

ALC's 英辞郎 which @Eiríkr Útlendi suggested in the comments seems to be quite
complete as it contains even more technical terminology (such as _derived
functor_ , _plurisubharmonic function_ , _properly discontinuous action_ ,
etc.). Else, @Ringil's strategy of finding the term on Wikipedia and looking
on the linked Japanese site is also a good strategy.

The terms you're asking about would be

  1. 微分幾何学【びぶんきかがく】 differential geometry
  2. 位相幾何学【いそうきかがく】 topology (the subject area)
  3. 部分多様体【ぶぶんたようたい】 submanifold/subvariety
  4. 滑らか【なめらか】な関数【かんすう】 smooth function

