Analytic Function Theory of Several Variables: Elements of Oka’s Coherence - Image 1

£55.96

Springer Analytic Function Theory of Several Variables: Elements of Oka’s Coherence

Name: Analytic Function Theory of Several Variables: Elements of Oka's Coherence
Brand: Springer
Price: 55.96 GBP
Availability: InStock

White

Algebra

This is the usual price. Wait for it to drop, or tell us your number.

£56 today · usual range £0–£0 · best ever £29

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 629 days • 629 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 629 days • 3 price levels

Days at Price

Current Price

Price Analysis

Most common price: £54 (583 days, 92.7%)

Price range: £29 - £56

Price levels: 3 different prices over 629 days

Description

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.

Product Specifications

Brand: Springer
Colour: White
Format: Paperback
ASIN: 9811091242
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 15 June 2018
Listed Since: 14 June 2018

Barcode

No barcode data available

Springer Analytic Function Theory of Several Variables: Elements of Oka’s Coherence

This is the usual price. Wait for it to drop, or tell us your number.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck: 347 (Progress in Mathematics)

A Theory of Generalized Donaldson-Thomas Invariants (Memoirs of the AMS) (Memoirs of the American Mathematical Society)

Lectures on Riemann Surfaces: 81 (Graduate Texts in Mathematics, 81)

Lectures on Riemann Surfaces: 81 (Graduate Texts in Mathematics, 81)

Hilbert Schemes of Points and Infinite Dimensional Lie Algebras (Mathematical Surveys and Monographs)

Complex Geometry: Collection of Papers Dedicated to Hans Grauert

L² Approaches in Several Complex Variables: Towards the Oka–Cartan Theory with Precise Bounds (Springer Monographs in Mathematics)

J-holomorphic Curves and Symplectic Topology: Second Edition (American Mathematical Society) (Colloquium Publications)

De Rham Cohomology of Differential Modules on Algebraic Varieties: 189 (Progress in Mathematics, 189)

Handbook of Geometry and Topology of Singularities III

Handbook of Geometry and Topology of Singularities III

The Kobayashi-Hitchin Correspondence

A Course in Complex Analysis and Riemann Surfaces (Graduate Studies in Mathematics)

Derived Functors And Sheaf Cohomology: 2 (Contemporary Mathematics And Its Applications: Monographs, Expositions And Lecture Notes)

Kleinian Groups: 287 (Grundlehren der mathematischen Wissenschaften, 287)

Principles of Locally Conformally Kähler Geometry: 354 (Progress in Mathematics, 354)

An Introduction to Algebraic Geometry: A Computational Approach (Universitext)

Nevanlinna Theory in Several Complex Variables and Diophantine Approximation: 350 (Grundlehren der mathematischen Wissenschaften, 350)

Complex Analytic Sets: 46 (Mathematics and its Applications, 46)

Mod Two Homology and Cohomology (Universitext)

Hodge Theory and Complex Algebraic Geometry, I: 76 (Cambridge Studies in Advanced Mathematics, Series Number 76)

L² Approaches in Several Complex Variables: Development of Oka–Cartan Theory by L² Estimates for the d-bar Operator (Springer Monographs in Mathematics)

Holomorphic Functions and Integral Representations in Several Complex Variables: 108 (Graduate Texts in Mathematics, 108)

Frobenius Manifolds: Quantum Cohomology and Singularities: 36 (Aspects of Mathematics, 36)