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Fundamentals of Complex Analysis
K. K. Dube
其他書名
Theory and Applications
出版I. K. International Pvt Ltd, 2013-12-30
主題Mathematics / Complex Analysis
ISBN93800260219789380026022
URLhttp://books.google.com.hk/books?id=9cu5WlLGe8kC&hl=&source=gbs_api
EBookSAMPLE
註釋The book divided in ten chapters deals with:
" Algebra of complex numbers and its various geometrical properties, properties of polar form of complex numbers and regions in the complex plane.
" Limit, continuity, differentiability.
" Different kinds of complex valued functions.
" Different types of transformations.
" Conformal mappings of different functions.
" Properties of bilinear and special bilinear transformation.
" Line integrals, their properties and different theorems.
" Sequences and series, Power series, Zero s of functions, residues and residue theorem, meromorphic functions, different kinds of singularities.
" Evaluation of real integrals.
" Analytic continuation, construction of harmonic functions, infinite product, their properties and Gamma function.
" Schwarz-Christoffel transformations, mapping by multi valued functions, entire functions.
" Jenson s theorem and Poisson-Jenson theorem.
The book is designed as a textbook for UG and PG students of science as well as engineering