Complex analysis / Joaquim Bruna, Julià Cufí ; translated from the Catalan by Ignacio Monreal.

Format:

Book

Author/Creator:

Bruna, Joaquim, author.

Cufí, Julià, author.

Contributor:

Monreal, Ignacio, translator.

Series:

EMS textbooks in mathematics

Language:

Catalan

English

Subjects (All):

Functions of complex variables.

Physical Description:

xii, 564 pages : illustrations ; 24 cm.

Place of Publication:

Zurich, Switzerland : European Mathematical Society, [2013]

Summary:

A series of 15 lectures delivered at Aarhus University, Denmark in 2010 explain the algebraic approach to categorification of the Jones polynomial and introduce specific categorifications of algebraic objects motivated by the naturality of their construction. Separate lectures discuss projective and shuffling functors, twisting and completion, grading and combinatoris, cell modules, Koszul duality, and simple finite-dimensional modules. Distributed in the US by the American Mathematical Society. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com)

Contents:

Arithmetic and topology in the complex plane

Functions of a complex variable

Holomorphic functions and differential forms

Local properties of holomorphic functions

Isolated singularities of holomorphic functions

Homology and holomorphic functions

Harmonic functions

Conformal mapping

The Riemann mapping theorem and Dirichlet's problem

Runge's theorem and the Cauchy-Riemann equations

Zeros of holomorphic functions

The complex Fourier transform.

Notes:

Includes bibliographical references (page [555]) and index.

The ISBN is 9783037191118, but the barcode scans as 9783037191088.

ISBN:

9783037191118

3037191112

OCLC:

856019428

Publisher Number:

99954912049