An advanced complex analysis problem book: topological vector spaces,...
First Statement of Responsibility
Daniel Alpay
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Basel
Name of Publisher, Distributor, etc.
Birkhauser/Springer
Date of Publication, Distribution, etc.
c2015
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
x, 521 p. ; 24 cm.
GENERAL NOTES
Text of Note
Includes bibliographical references and index
CONTENTS NOTE
Text of Note
Complex numbers : Algebra -- Complex numbers : Geometry -- Complex numbers and analysis -- Cauchy-riemann equations and C-differentiable functions -- Cauchy's theorem -- Morera, Liouville, Schwarz, et les autres : first applications -- Laurent expansions, residues, singularities and applications -- Computations of definite integrals using the residue theorem -- Harmonic functions -- Conformal mappings -- A taste of linear system theory and signal processing -- Some useful theorems -- Some topology -- Some functional analysis essentials -- A brief survey of integration