000			01786nam a2200229 a 4500
020			_a9780521480581
020			_a0521480582
020			_a9780521485234
020			_a0521485231
082			_a515.9 _bABL
100			_aAblowitz,Mark J.
245			_aComplex Variables: Introduction and Applications
260			_aNew Delhi: _bCambridge University Press, _c1998.
300			_axii, 647 pages : _billustrations ;
490			_aCambridge texts in applied mathematics.
500			_aBibliography & Index
505			_aFundamentals and techniques of complex function theory -- Complex numbers and elementary functions -- Analytic functions and integration -- Sequences, series and singularities of complex functions -- Residue calculus and applications of contour integration -- Applications of complex function theory -- Conformal mappings and applications -- Asymptotic evaluation of integrals -- Riemann-Hilbert problems.
520			_aIn addition to being mathematically elegant, complex variables provide a powerful tool for solving problems that are either very difficult or virtually impossible to solve in any other way. Part I of this text provides an introduction to the subject, including analytic functions, integration, series, and residue calculus and also includes transform methods, ODEs in the complex plane, numerical methods and more. Part II contains conformal mappings, asymptotic expansions, and the study of Riemann-Hilbert problems. The authors also provide an extensive array of applications, illustrative examples and homework exercises. This book is ideal for use in introductory undergraduate and graduate level courses in complex variables.
650			_aFunctions of complex variables.
700			_aFokas, Athanassios S.
942			_cREF
999			_c38562 _d38562