Fundamentals of Complex Analysis: Theory and Applications - Couverture souple

Dube, K. K.

 
9789380026022: Fundamentals of Complex Analysis: Theory and Applications

Synopsis

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 integral.
  • 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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, Zeros 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. * Jensons theorem and Poisson-Jenson theorem. The book is designed as a textbook for UG and PG students of science as well as engineering

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.