algebraic analysis

Etymology
The area of study in algebraic geometry began as a research programme, instigated in 1959 by Japanese mathematician.

Noun

 * 1) ; the use of techniques from algebra (especially elementary algebra) to analyse and solve problems.
 * 2)  The study of systems of linear partial differential equations, using techniques from sheaf theory and complex analysis to examine functions and certain generalisations of functions (such as hyperfunctions and microfunctions).
 * 3) * 1986, Goro Kato (translator), Masaki Kashiwara, Takahiro Kawai, Tatsuo Kimura, Foundations of Algebraic Analysis, Princeton Universty Press,.
 * 4) * 2008, Yoshitsugu Takei, The work of T. Kawai on exact WKB analysis, T. Aoki, H. Majima, Y. Takei, N. Tose (editors), Algebraic Analysis of Differential Equations, Springer, page 19,
 * Thus Kawai has been engaged mainly in the research of exact WKB analysis or algebraic analysis of singular perturbation theory since 1989.
 * Thus Kawai has been engaged mainly in the research of exact WKB analysis or algebraic analysis of singular perturbation theory since 1989.

Translations

 * French: analyse algébrique
 * Japanese: 代数解析
 * Spanish: análisis algebraico