000			02344 a2200253 4500
008			240809b |||||||| |||| 00| 0 eng d
020			_a9781611975970
082			_a515.942 FOR
100			_aFornberg, Bengt
245			_aComplex variables and analytic functions: an illustrated introduction
260			_aPhiladelphia: _bSociety for Industrial and Applied Mathematics (SIAM), _c2020.
300			_ax, 261p.: _bcol. ill.; pbk.: _c26cm.
490			_aOther Titles in Applied Mathematics; _vVol. 165
504			_aIncludes Bibliography and Index
520			_aAt almost all academic institutions worldwide, complex variables and analytic functions are utilized in courses on applied mathematics, physics, engineering, and other related subjects. For most students, formulas alone do not provide a sufficient introduction to this widely taught material, yet illustrations of functions are sparse in current books on the topic. This is the first primary introductory textbook on complex variables and analytic functions to make extensive use of functional illustrations. Aiming to reach undergraduate students entering into the world of complex variables and analytic functions, this book utilizes graphics to visually build on familiar cases and illustrate how these same functions extend beyond the real axis; covers several important topics that are omitted in nearly all recent texts, including techniques for analytic continuation and discussions of elliptic functions and of Wiener-Hopf methods; and presents current advances in research, highlighting the subject's active and fascinating frontier. The primary audience for this textbook is undergraduate students taking an introductory course on complex variables and analytic functions. It is also geared towards graduate students taking a second semester course on these topics, engineers and physicists who use complex variables in their work, and students and researchers at any level who want a reference book on the subject. https://epubs.siam.org/doi/book/10.1137/1.9781611975987
650			_aComplex Analysis
650			_aVisualization of Complex Functions
650			_aAnalytic Functions
650			_aResidue Calculus
650			_aConformal Mappings
650			_aElliptic Functions
700			_aPiret, Cécile _eCo-author
942			_cTD _2ddc
999			_c60695 _d60695