MARC details
| 000 -LEADER |
|---|
| fixed length control field |
03086cam a22002775i 4500 |
| 001 - CONTROL NUMBER |
|---|
| control field |
21821422 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20250610113824.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
160816s2016 si |||| o |||| 0|eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9789811091247 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
CSL |
| Transcribing agency |
CSL |
| 041 ## - LANGUAGE CODE |
|---|
| Source of code |
eng |
| Language code of text/sound track or separate title |
eng |
| 084 ## - COLON CLASSIFICATION NUMBER |
|---|
| Classification number |
B313 Q6 NBHM |
| Assigning agency |
CSL |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Noguchi, Junjiro, |
| Relator term |
author. |
| 9 (RLIN) |
470815 |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Analytic Function Theory of Several Variables : |
| Remainder of title |
Elements of Oka's Coherence |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Singapore : |
| Name of producer, publisher, distributor, manufacturer |
Imprint: Springer, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2016. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xviii, 397 p. |
| Other physical details |
ill. |
| Dimensions |
24 cm |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
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) (Theory of Stein spaces) and GL265 (Coherent analytic sheaves) with a lowering of the level for novice graduate students (here, Grauert's direct image theorem is limited to the case of finite maps). 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 on this subject, in which the notion of coherence appears much later. The present book, consisting of nine chapters, gives complete treatments of the following items: Coherence of sheaves of holomorphic functions (Chap. 2); Oka-Cartan's Fundamental Theorem (Chap. 4); Coherence of ideal sheaves of complex analytic subsets (Chap. 6); Coherence of the normalization sheaves of complex spaces (Chap. 6); Grauert's Finiteness Theorem (Chaps. 7, 8); Oka's Theorem for Riemann domains (Chap. 8). The theories of sheaf cohomology and domains of holomorphy are also presented (Chaps. 3, 5). Chapter 6 deals with the theory of complex analytic subsets. Chapter 8 is devoted to the applications of formerly obtained results, proving Cartan-Serre's Theorem and Kodaira's Embedding Theorem. In Chap. 9, we discuss the historical development of "Coherence". It is difficult to find a book at this level that treats all of the above subjects in a completely self-contained manner. In the present volume, a number of classical proofs are improved and simplified, so that the contents are easily accessible for beginning graduate students. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Geometry, Algebraic. |
| 9 (RLIN) |
812345 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Category theory (Mathematics). |
| 9 (RLIN) |
812370 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Functions of complex variables. |
| 9 (RLIN) |
812172 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Homological algebra. |
| 9 (RLIN) |
812371 |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Several Complex Variables and Analytic Spaces. |
| 9 (RLIN) |
812372 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Algebraic Geometry. |
| 9 (RLIN) |
409661 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Category Theory, Homological Algebra. |
| 9 (RLIN) |
812373 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Colon Classification (CC) |
| Suppress in OPAC |
No |
| Koha item type |
Textual |
| Classification part |
B313 Q6 NBHM |
