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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aComplex Analysis and Dynamics in One Variable with Applications /$fby Luis T. Magalhães
205   $a1st ed. 2025.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025.
215   $a1 online resource (XXXII, 714 p. 228 illus., 59 illus. in color.) 
311 08$a3-031-64998-2 
327   $aComplex plane -- Functions -- Derivative -- Integral -- Analyticity -- Uni cation of holomorphy cauchy theorem and analyticity -- Global cauchy theorem -- Meromorphic functions -- Harmonic functions -- Conformal regions -- Analytic continuation and riemann surfaces -- Uniformization of riemann surfaces -- Complex dynamics.
330   $aThis textbook has been designed to support the initial study of Complex Analysis, progressing to Complex Dynamics. It focuses on the fundamental aspects of one-variable complex functions, covering the geometric theory and dynamics of iterations of rational mappings. Following the standard material, the book delves into an extensive range of advanced topics, encompassing the requirements for a one-year graduate-level course or a preliminary exam. In this work, the reader will discover three distinctive characteristics: it simplifies and unifies ideas and concepts that might appear disparate or complicated in real analysis; it contributes to the development of other areas in mathematics; and it showcases relevance for applications in Science and Engineering, with many exercises. Historical notes throughout the text help to contextualize the theory. With its flexible structure, this textbook provides a solid foundation for a first course in Complex Analysis and for a second more advanced course, establishing a robust basis for subsequent studies.
606   $aFunctions of complex variables
606   $aDynamics
606   $aPotential theory (Mathematics)
606   $aFunctions of a Complex Variable
606   $aDynamical Systems
606   $aPotential Theory
615  0$aFunctions of complex variables.
615  0$aDynamics.
615  0$aPotential theory (Mathematics)
615 14$aFunctions of a Complex Variable.
615 24$aDynamical Systems.
615 24$aPotential Theory.
676   $a515.9
700   $aMagalhães$b Luis T$4aut$4http://id.loc.gov/vocabulary/relators/aut$058976
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910999672103321
996   $aComplex Analysis and Dynamics in One Variable with Applications$94374689
997   $aUNINA