000			a
999			_c33322 _d33322
008			241119b xxu||||| |||| 00| 0 eng d
020			_a9781108959728
082			_a515.9 _bABL
100			_aAblowitz, Mark J
245			_aIntroduction to complex variables and applications
260			_bCambridge University Press, _c2021 _aNew York :
300			_aviii, 411 p. ; _bill., _c25 cm.
365			_b4249.00 _c₹ _d01
504			_aIncludes bibliographical references and index.
520			_aThe study of complex variables is both beautiful from a purely mathematical point of view, and very useful for solving a wide array of problems arising in applications. This introduction to complex variables, suitable as a text for a one-semester course, has been written for undergraduate students in applied mathematics, science, and engineering. Based on the authors' extensive teaching experience, it covers topics of keen interest to these students, including ordinary differential equations, as well as Fourier and Laplace transform methods for solving partial differential equations arising in physical applications. Many worked examples, applications, and exercises are included. With this foundation, students can progress beyond the standard course and explore a range of additional topics, including the generalized Cauchy theorem, Painlevé equations, computational methods, and conformal mapping with circular arcs. Advanced topics are labeled with an asterisk and can either be included in the syllabus or form the basis for challenging student projects
650			_aComplex Analysis
650			_aAnalytic continuation
650			_aBilinear transformation
650			_aBranch point
650			_aCauchy-Riemann conditions
650			_aConformal mapping
650			_aEssential singular point
650			_aLaplace transform
650			_aLaurent series
650			_aMultivalued function
650			_aTaylor series
650			_aUnit circle
650			_aZ-plane
700			_aFokas, Athanassios. S
942			_2ddc _cBK