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Original Essays | September 17, 2014

Merritt Tierce: IMG Has My Husband Read It?



My first novel, Love Me Back, was published on September 16. Writing the book took seven years, and along the way three chapters were published in... Continue »
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    Love Me Back

    Merritt Tierce 9780385538077

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Complex Analysis in One Variable

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Complex Analysis in One Variable Cover

 

Synopses & Reviews

Publisher Comments:

This book presents complex analysis in one variable in the context of modern mathematics, with clear connections to several complex variables, de Rham theory, real analysis, and other branches of mathematics. Thus, covering spaces are used explicitly in dealing with Cauchy's theorem, real variable methods are illustrated in the Loman-Menchoff theorem and in the corona theorem, and the algebraic structure of the ring of holomorphic functions is studied.Using the unique position of complex analysis, a field drawing on many disciplines, the book also illustrates powerful mathematical ideas and tools, and requires minimal background material. Cohomological methods are introduced, both in connection with the existence of primitives and in the study of meromorphic functionas on a compact Riemann surface. The proof of Picard's theorem given here illustrates the strong restrictions on holomorphic mappings imposed by curvature conditions.

Product Details

ISBN:
3330000223144
Publisher:
Birkhäuser
Subject:
Mathematical Analysis
Author:
Nievergelt, Yves
Author:
Narasimhan, Raghavan
Subject:
Functions of complex variables
Subject:
Functional Analysis
Subject:
Algebraic Geometry
Subject:
Complex Analysis
Subject:
Real analysis
Subject:
Functions of a complex variable.
Subject:
Analysis
Subject:
Several Complex Variables and Analytic Spaces
Subject:
Mathematics-Analysis General
Subject:
main_subject
Subject:
all_subjects
Publication Date:
2001
Binding:
ELECTRONIC
Language:
English
Pages:
381

Related Subjects

Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Functional Analysis
Science and Mathematics » Mathematics » General

Complex Analysis in One Variable
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Product details 381 pages Birkhäuser - English 3330000223144 Reviews:
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