Analytic Function Theory Of Several Variables Av Junjiro Noguchi

<div>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-Remmert''s two volumes, GL227(236) (<i>Theory of Stein spaces</i>) and GL265 (<i>Coherent analytic sheaves</i>) with a lowering of the level for novice graduate students (here, Grauert''s direct image theorem is limited to the case of finite maps).</div><div>The core of the theory is "Oka''s 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. In this book, just after an introductory chapter on holomorphic functions (Chap. 1), we prove Oka''s First Coherence Theorem for holomorphic functions in Chap. 2. This defines a unique character of the book compared with other books o

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