Analytic Function Theory Of Several Variables Elements Of Okas Coherence - Junjiro Noguchi

The Purpose Of This Book Is To Present The Classical Analytic Function Theory Of Several Variables As A Standard Subject In A Course Of Mathematics After Learning The Elementary Materials (sets, General Topology, Algebra, One Complex Variable). This Includes The Essential Parts Of Grauert-remmerts Two Volumes, Gl227(236) (theory Of Stein Spaces) And Gl265 (coherent Analytic Sheaves) With A Lowering Of The Level For Novice Graduate Students (here, Grauerts Direct Image Theorem Is To The Case Of Finite Maps).the Core Of The Theory Is Okas Coherence, Found And Proved By Kiyoshi Oka. It Is Indispensable, Not Only In The Study Of Complex Analysis And Complex Geometry, But Also In A Large Area Of Modern Mathematics.