7 edition of **Elementary theory of analytic functions of one or several complex variables.** found in the catalog.

Elementary theory of analytic functions of one or several complex variables.

Henri Paul Cartan

- 5 Want to read
- 12 Currently reading

Published
**1963**
by Éditions scientifiques Hermann., Addison-Wesley Pub. Co. in Paris, Reading, Mass
.

Written in

- Analytic functions

**Edition Notes**

Series | Collection Enseignement des sciences Hermann, Collection Enseignement des sciences Hermann., Adiwes international series in mathematics. |

Classifications | |
---|---|

LC Classifications | QA331 .C3213 |

The Physical Object | |

Pagination | 226 p. |

Number of Pages | 226 |

ID Numbers | |

Open Library | OL5875965M |

LC Control Number | 63005108 |

Elementary theory of analytic functions of one or several complex variables. Paris, Éditions scientifiques Hermann. Reading, Mass., Addison-Wesley Pub. Co. [] (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / . Get this from a library! Elementary theory of analytic functions of one or several complex variables. [Henri Paul Cartan].

$\begingroup$ Well,the objects of functions of several complex variables are manifolds with a complex topological vector space ore,they are the centerpieces of the bulk of postth century analysis and geometry and the tools of sheaf theory via commutative algebra are deeply interwoven in a result of all this,any "pure" approach-say,emphasizing analysis-only tells part. Elementary Theory of Analytic Functions of One or Several Complex Variables by Henri Cartan avg rating — 10 ratings — published — 4 editions.

The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century. After initial successes by Poincare and others in the late 19th and early 20th centuries, the theory encountered obstacles that prevented it from growing quickly into an analogue of the theory for. Get this from a library! Elementary theory of analytic functions of one or several complex variables.. [Henri Paul Cartan].

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Cartan's book starts with complex numbers, power series, and a review of the standard complex functions of one variable, e.g., the exponential, and the complex logarithm. Then follow holomorphic functions, Taylor and Laurent expansions, singularities, Cauchy's theorems, residues, analytic continuation, lots of examples, and beautifully by: Cartan's book starts with complex numbers, power series, and a review of the standard complex functions of one variable, e.g., the exponential, and the complex logarithm.

Then follow holomorphic functions, Taylor and Laurent expansions, singularities, Cauchy's theorems, residues, analytic continuation, lots of examples, and beautifully illustrated/5(16). This elegant little book by Henri Cantan covers both complex functions on one and several variables, and in that way (by the inclusion of several variables) it differs and stands out from most other books on complex variables at the beginning US-graduate level.

It is a translation /5(16). Basic treatment of the theory of analytic functions of a complex variable, touching on analytic functions of several real or complex variables as well as the existence theorem for solutions of differential systems where data is analytic/5(10).

Book Reviews. Elementary Theory of Analytic Functions of One or Several Complex Variables. By R. Boas Jr. See all Hide authors and affiliations. Science 08 May Elementary Theory of Analytic Functions of One or Several Complex Variables. By Author: R. Boas. 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).Cited by: 1.

Noted mathematician offers basic treatment of theory of analytic functions of a complex variable, touching on analytic functions of several real or complex variables as well as the existence theorem for solutions of differential systems where data is analytic.

Also included is a systematic, though elementary, exposition of theory of abstract complex manifolds of one complex dimension. Elementary Theory of Analytic Functions of One or Several Complex Variables Henri Cartan Noted mathematician offers basic treatment of theory of analytic functions of a complex variable, touching on analytic functions of several real or complex variables as well as the existence theorem for solutions of differential systems where data is analytic.

Elementary theory of analytic functions of one or several complex variables | Henri Cartan | download | B–OK.

Download books for free. Find books. ELEMENTARY THEORY OF ANALYTIC FUNCTIONS OF ONE OR SEVERAL COMPLEX VARIABLES DOVER EDITION HenriCartan PARTIAL SCRUTINY, SOLUTIONS OF SELECTED EXERCISES, COMMENTS, SUGGESTIONS AND ERRATA Jose´RenatoRamosBarbosa Departamento de Matem´atica Universidade Federal do Paran´a Curitiba - Paran´a - Brasil [email protected] 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'sBrand: Springer Singapore. Noted mathematician offers basic treatment of theory of analytic functions of a complex variable, touching on analytic functions of several real or complex variables as well as the existence theorem for solutions of differential systems where data is analytic.

Also included is a systematic, though elementary, exposition of theory of abstract complex manifolds of one complex dimension. Basic treatment of the theory of analytic functions of a complex variable, touching on analytic functions of several real or complex variables as well as the existence theorem for solutions of differential systems where data is analytic.

Also included is a theory of abstract complex manifolds of one complex dimension; holomorphic functions; Cauchy's integral, more. The Elementary Theory of Analytic Functions of One or Several Complex Variables by Henri Cartan,available at Book Depository with free delivery worldwide/5(10). The Paperback of the Elementary Theory of Analytic Functions of One or Several Complex Variables by Henri Cartan at Barnes & Noble.

FREE Shipping on Author: Henri Cartan. I. Analytic Functions of One Complex Variable. Elementary Properties of Functions of Several Complex Variables. III. Applications to Commutative Banach Algebras. L2 Estimates and Existence Theorems for the Operator. Stein Manifolds.

Local Properties of Analytic Functions. VII. Coherent Analytic Sheaves on Stein Manifolds Book Edition: 3. - Buy The Elementary Theory of Analytic Functions of One or Several Complex Variables (Dover Books on Mathematics) book online at best prices in India on Read The Elementary Theory of Analytic Functions of One or Several Complex Variables (Dover Books on Mathematics) book reviews & author details and more at Free delivery on qualified orders/5(13).

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Ages ) (Friendship Series Book 1). 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).

Abstract. In this chapter we study the n-dimensional complex vector space ℂ n and introduce some notation used throughout this book. After recalling geometric and topological notions such as connectedness or convexity we will introduce holomorphic functions and mapping of several complex variables and prove the n-dimensional analogues of several theorems well-known from the one.

This elegant little book by Henri Cantan covers both complex functions on one and several variables, and in that way (by the inclusion of several variables) it differs and stands out from most other books on complex variables at the beginning US-graduate level.

It is a translation of an original French language version/5.Buy The Elementary Theory of Analytic Functions of One or Several Complex Variables (Dover Books on Mathematics) New edition by Cartan, Henri (ISBN: ) from Amazon's Book Store.

Everyday low prices and free delivery on eligible orders/5(13).The theory of functions of several complex variables is the branch of mathematics dealing with complex-valued functions f {\displaystyle f} on the space Cn of n-tuples of complex numbers. As in complex analysis, which is the case n = 1 but of a distinct character, these are not just any functions: they are supposed to be holomorphic or complex analytic, so that locally speaking they are power .